CUET UG Physics Booster Test 2-Transformers and Energy Transmission
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QUESTION 1 OF 20
Identify the incorrect statement about electromagnetic induction in transformers
QUESTION 2 OF 20
Match List I with List II
| List I | List II |
|---|---|
| 1. Primary Coil | a. Often designated as the input coil |
| 2. Secondary Coil | b. Either on top of each other or on separate limbs |
| 3. Soft-iron core | c. Often designated as the output coil |
| 4. Winding arrangement | d. Provides magnetic linkage for alternating flux |
QUESTION 3 OF 20
The relation between applied voltage and back emf in the primary coil
1. It is heavily dependent on high primary resistance.
2. It relies on the approximation that ep ≈ vp.
3. It dictates infinite current if resistance is zero and back emf does not equal vp.
4. Both statements 2 and 3 are valid in ideal assumptions.
Choose the correct statement:
QUESTION 4 OF 20
The induced emf in the secondary coil is represented mathematically by:
QUESTION 5 OF 20
Choose the correct statements about turn ratio and voltage
1. Vs/Vp = Ns/Np
2. If Ns > Np, the voltage is stepped up.
3. The ratio relies on the assumption that the same flux links both coils.
4. It works perfectly for zero-frequency direct current.
QUESTION 6 OF 20
Consider the statements regarding ideal transformer derivation.
1. The induced back emf ep is equal to vp.
2. The secondary is an open circuit or the current taken is small.
3. The induced emf es is approximately equal to vs.
4. The primary winding requires an infinite resistance.
QUESTION 7 OF 20
In a well-designed transformer, although 100% efficiency is assumed for ideal equations,
1. Actual efficiency can be more than 95%.
2. Actual efficiency is always below 50%.
3. It cannot exceed 10% due to immense flux leakage.
4. Energy is never lost in practical setups under any conditions.
QUESTION 8 OF 20
If a transformer is ideal and delivers a power output of 2200 W at 440 V, what is the primary current if the input voltage is 220 V?
QUESTION 9 OF 20
Because input power equals output power in an ideal transformer, stepping up the voltage results in a ________ current, meaning the relationship between voltage and current is ________.
QUESTION 10 OF 20
The power loss in transmission lines that is reduced by stepping up the grid voltage is given by the formula:
QUESTION 11 OF 20
Choose the incorrect statement about step-up transformers
QUESTION 12 OF 20
When the ratio Np / Ns is 1/2, a 220 V input at 10 A will step up to an output where
QUESTION 13 OF 20
A step-down transformer has a primary coil with 1000 turns and a secondary coil with 100 turns. If the input voltage is 2400 V, what is the secondary voltage?
QUESTION 14 OF 20
Question:
A step-down transformer is utilized to
1. Reduce the voltage while proportionally increasing the current.
2. Increase the voltage while reducing the current.
3. Decrease both voltage and current to perfectly safe levels.
4. Change the frequency of the alternating current.
Choose correct:
QUESTION 15 OF 20
To minimize flux leakage, the primary and secondary coils can be wound ________, mitigating the effect of ________ in the core.
QUESTION 16 OF 20
Choose the correct statements about resistance in transformer windings
1. Wire used for windings has inherent resistance.
2. Energy is lost as heat due to I²R dissipation.
3. Thick wire minimizes loss in high-current, low-voltage windings.
4. Resistance heating improves the overall magnetic flux linkage.
QUESTION 17 OF 20
Match List I with List II regarding transformer design
| List I | List II |
|---|---|
| 1. Alternating magnetic field | a. Induces eddy currents |
| 2. Solid iron core | b. Prone to high eddy currents |
| 3. Laminated core | c. Reduces eddy current losses |
| 4. Heat generation | d. Caused by eddy currents |
QUESTION 18 OF 20
Question:
Choose the correct statements regarding magnetisation reversal
1. The core's magnetisation is repeatedly reversed.
2. This reversal is driven by the alternating magnetic field.
3. Expenditure of energy in the core appears as heat.
4. Magnetic materials with high hysteresis loss are strictly preferred.
QUESTION 19 OF 20
In the large-scale transmission of electrical energy, the voltage output of the generator is stepped-up so that
QUESTION 20 OF 20
Identify the incorrect statement about the power distribution grid
Test Complete!
Answer Review
1 Identify the incorrect statement about electromagnetic induction in transformers
�� Transformers operate on mutual induction. �� Mutual induction requires changing magnetic flux. �� Direct current does not continuously produce changing flux.
A transformer works on the principle of mutual induction between primary and secondary coils. An alternating current in the primary coil produces a continuously changing magnetic flux in the iron core. This varying flux induces emf in the secondary coil. Therefore transformers can increase or decrease AC voltage levels. Direct current produces a constant magnetic field after the initial switching period. Since electromagnetic induction requires changing magnetic flux, a transformer cannot efficiently transform direct current voltages. Hence option C is the incorrect statement.
- �� Option A → Correct because transformers operate through mutual induction between insulated primary and secondary coils.
- �� Option B → Correct because transformers can function as step-up or step-down devices.
- �� Option D → Correct because alternating current produces alternating magnetic flux in the core.
Used
- Elimination
Application:
- �� Identify statements consistent with transformer operation and eliminate them.
Final Logic:
- �� Since transformers require changing magnetic flux, DC cannot be transformed efficiently.
- Transformer = AC only
2 Match List I with List II
| List I | List II |
|---|---|
| 1. Primary Coil | a. Often designated as the input coil |
| 2. Secondary Coil | b. Either on top of each other or on separate limbs |
| 3. Soft-iron core | c. Often designated as the output coil |
| 4. Winding arrangement | d. Provides magnetic linkage for alternating flux |
Primary coil acts as the input coil. Secondary coil acts as the output coil. Soft-iron core links magnetic flux between coils.
The primary coil is connected to the AC source and therefore serves as the input coil. The secondary coil delivers the transformed voltage to the external circuit and serves as the output coil. The soft-iron core provides a low-reluctance path for the alternating magnetic flux, ensuring efficient magnetic coupling between the coils. The winding arrangement may involve coils wound one over the other or placed on separate limbs of the core. Therefore: 1 → a 2 → c 3 → d 4 → b Hence, Option A is correct.
- Option B: Primary and secondary coil functions are interchanged.
- Option C: Core and winding arrangement functions are incorrectly assigned.
- Option D: Secondary coil and winding arrangement are mismatched.
Used
- Direct Function Matching
Application:
- �� Identify the role of each transformer component and match it with its corresponding function.
Final Logic:
- �� Only Option A correctly matches all four components.
- Primary = Input, Secondary = Output, Core = Flux Path
3 The relation between applied voltage and back emf in the primary coil
1. It is heavily dependent on high primary resistance.
2. It relies on the approximation that ep ≈ vp.
3. It dictates infinite current if resistance is zero and back emf does not equal vp.
4. Both statements 2 and 3 are valid in ideal assumptions.
Choose the correct statement:
In ideal transformers, back emf nearly equals applied voltage. This limits the current in the primary. Primary resistance is assumed negligible.
For an ideal transformer, the induced back emf in the primary nearly balances the applied voltage: ep ≈ vp This prevents excessive current from flowing. If the back emf were absent and resistance were negligible, an extremely large current would result. The standard derivation of transformer equations relies mainly on ep ≈ vp. Hence statement 2 is correct and the correct option is B.
- Statement 1: Transformer operation does not depend on high primary resistance.
- Statement 3: While physically reasonable, it is not the standard assumption used directly in deriving the voltage ratio.
- Statement 4: Since statement 3 is not taken as the correct statement in this context, statement 4 is incorrect.
Used
- Elimination
Application:
- �� Remove statements inconsistent with ideal transformer assumptions.
Final Logic:
- �� Only statement 2 directly represents the ideal transformer relation.
- Back emf balances input
4 The induced emf in the secondary coil is represented mathematically by:
�� Based on Faraday's law. �� Negative sign follows Lenz's law. �� Secondary emf depends on secondary turns.
According to Faraday's law of electromagnetic induction, es = − Ns (dΦ/dt) The negative sign represents Lenz's law, indicating opposition to the cause producing the emf. Since the emf is induced in the secondary coil, the number of turns involved is Ns. Hence Option B is correct.
- �� Option A → Missing the negative sign required by Lenz's law.
- �� Option C → Uses primary turns instead of secondary turns.
- �� Option D → Uses primary turns and lacks the negative sign.
Used
- Formula Recall / Elimination
Application:
- �� Apply Faraday's law directly.
Final Logic:
- �� Secondary induced emf equals −Ns(dΦ/dt).
- Faraday + Lenz = Minus Sign
5 Choose the correct statements about turn ratio and voltage
1. Vs/Vp = Ns/Np
2. If Ns > Np, the voltage is stepped up.
3. The ratio relies on the assumption that the same flux links both coils.
4. It works perfectly for zero-frequency direct current.
Voltage ratio equals turn ratio. More secondary turns give higher voltage. Common flux linkage is assumed.
For an ideal transformer, Vs/Vp = Ns/Np If Ns > Np, the transformer is a step-up transformer. The derivation assumes that the same magnetic flux links both the primary and secondary windings. Transformer action requires changing magnetic flux and therefore does not operate with steady DC. Thus statements 1, 2 and 3 are correct, while statement 4 is incorrect. Hence Option A is correct.
- Option B: Includes statement 4, which is false.
- Option C: Includes statement 4, which is false.
- Option D: Includes statement 4, which is false.
Used
- Elimination
Application:
- �� Reject all options containing the false statement about direct current.
Final Logic:
- �� Only Option A contains all correct statements.
- More Turns → More Voltage
6 Consider the statements regarding ideal transformer derivation.
1. The induced back emf ep is equal to vp.
2. The secondary is an open circuit or the current taken is small.
3. The induced emf es is approximately equal to vs.
4. The primary winding requires an infinite resistance.
Ideal derivation assumes negligible losses. Back emf balances applied voltage. Secondary terminal voltage equals induced emf approximately.
In deriving the ideal transformer relation: ep ≈ vp es ≈ vs The secondary current is taken as small or the secondary is considered open. Infinite primary resistance is never assumed. Instead, winding resistance is considered negligible. Hence statements 1, 2 and 3 are correct. Therefore, Option B is correct.
- Option A: Includes incorrect statement 4.
- Option C: Includes incorrect statement 4.
- Option D: Omits correct statement 1 and includes incorrect statement 4.
Used
- Elimination
Application:
- �� Remove options containing the false infinite-resistance assumption.
Final Logic:
- �� Only Option B contains all valid assumptions.
- Ideal = No Losses, Not Infinite Resistance
7 In a well-designed transformer, although 100% efficiency is assumed for ideal equations,
1. Actual efficiency can be more than 95%.
2. Actual efficiency is always below 50%.
3. It cannot exceed 10% due to immense flux leakage.
4. Energy is never lost in practical setups under any conditions.
Practical transformers are highly efficient. Losses are minimized by design. Efficiency often exceeds 95%.
Ideal transformers are assumed to have 100% efficiency. Real transformers suffer losses due to flux leakage, eddy currents, hysteresis, and winding resistance. However, these losses are minimized effectively through proper design, allowing practical transformer efficiencies above 95%. Hence statement 1 is correct. Therefore, Option A is correct.
- Option B: States that actual efficiency is always below 50%, which is incorrect because practical transformers commonly achieve efficiencies above 95%.
- Option C: Claims efficiency cannot exceed 10% due to flux leakage. Flux leakage is small and carefully minimized in transformer design.
- Option D: Assumes no energy loss occurs in practical transformers. In reality, losses due to hysteresis, eddy currents, flux leakage, and winding resistance are always present.
Used
- Elimination
Application:
- �� Remove physically unrealistic statements regarding efficiency and losses.
Final Logic:
- �� Only statement 1 correctly describes practical transformer performance.
- Transformer ≈ 95%+ Efficient
8 If a transformer is ideal and delivers a power output of 2200 W at 440 V, what is the primary current if the input voltage is 220 V?
�� Input power equals output power. �� P = VI. �� Calculate input current from input power.
For an ideal transformer, Input Power = Output Power = 2200 W Given: Vp = 220 V Ip = P/V Ip = 2200/220 Ip = 10 A Hence Option B is correct.
- �� Option A → Gives only half the required current.
- �� Option C → Larger than calculated value.
- �� Option D → Double the correct value.
Used
- Substitution
Application:
- �� Substitute values into P = VI.
Final Logic:
- �� Ip = 2200/220 = 10 A.
- Power Constant in Ideal Transformer
9 Because input power equals output power in an ideal transformer, stepping up the voltage results in a ________ current, meaning the relationship between voltage and current is ________.
�� Power remains constant. �� Voltage increase causes current decrease. �� Voltage and current are inversely related.
For an ideal transformer, VpIp = VsIs If voltage increases, current must decrease to maintain constant power. Thus voltage and current vary inversely. Hence Option A is correct.
- �� Option B → Current does not increase when voltage increases.
- �� Option C → Relationship is not direct.
- �� Option D → Both statements are incorrect.
Used
- Conceptual Elimination
Application:
- �� Use power conservation.
Final Logic:
- �� Higher voltage means lower current.
- V↑ → I↓
10 The power loss in transmission lines that is reduced by stepping up the grid voltage is given by the formula:
�� Transmission loss is resistive heating. �� Heat loss follows Joule's law. �� Higher voltage reduces current.
Power lost in transmission wires due to resistance is P = I²R By stepping up the voltage, the current required for transmitting a given power decreases. Since power loss depends on the square of current, transmission losses are greatly reduced. Hence Option C is correct.
- �� Option A → Not the expression for power loss.
- �� Option B → Dimensionally incorrect.
- �� Option D → Not Joule's heating formula.
Used
- Dimensional/Unit Analysis
Application:
- �� Identify the standard expression for resistive power loss.
Final Logic:
- �� Transmission loss = I²R.
- Line Loss = I²R
11 Choose the incorrect statement about step-up transformers
�� Step-up transformers increase voltage. �� Power is approximately conserved. �� Current decreases when voltage increases.
For a step-up transformer: Ns > Np Therefore, Vs > Vp Since an ideal transformer conserves power, VpIp = VsIs When voltage increases, current must decrease. Therefore the secondary current is less than the primary current. Thus statements A, B and C are correct, while statement D is incorrect.
- �� Option A → Correct because a step-up transformer has more turns in the secondary coil.
- �� Option B → Correct because output voltage exceeds input voltage.
- �� Option C → Correct because current decreases as voltage increases.
Used
- Elimination
Application:
- �� Use the power conservation principle to eliminate inconsistent statements.
Final Logic:
- �� Step-up voltage implies step-down current.
- Step-Up V, Step-Down I
12 When the ratio Np / Ns is 1/2, a 220 V input at 10 A will step up to an output where
�� Voltage ratio equals turn ratio. �� Power remains constant. �� Increased voltage causes reduced current.
Given: Np/Ns = 1/2 Therefore: Vs/Vp = Ns/Np = 2 Vs = 2 × 220 = 440 V Power conservation: VpIp = VsIs 220 × 10 = 440 × Is Is = 5 A Hence Option A is correct.
- �� Option B → Represents a step-down transformer.
- �� Option C → Violates conservation of power.
- �� Option D → Gives incorrect voltage and current values.
Used
- Substitution
Application:
- �� Apply transformer ratio and power conservation equations.
Final Logic:
- �� Voltage doubles and current becomes half.
- Double V → Half I
13 A step-down transformer has a primary coil with 1000 turns and a secondary coil with 100 turns. If the input voltage is 2400 V, what is the secondary voltage?
�� Use transformer turn ratio. �� Secondary turns are one-tenth of primary turns. �� Voltage decreases in the same ratio.
Using Vs/Vp = Ns/Np Vs/2400 = 100/1000 Vs = 2400 × 0.1 Vs = 240 V Hence Option C is correct.
- �� Option A → Too small; incorrect ratio application.
- �� Option B → Does not satisfy the transformer equation.
- �� Option D → Represents a step-up result.
Used
- Substitution
Application:
- �� Direct substitution into the transformer ratio formula.
Final Logic:
- �� One-tenth turns produce one-tenth voltage.
- Turns ↓10× ⇒ Voltage ↓10×
14 Question:
A step-down transformer is utilized to
1. Reduce the voltage while proportionally increasing the current.
2. Increase the voltage while reducing the current.
3. Decrease both voltage and current to perfectly safe levels.
4. Change the frequency of the alternating current.
Choose correct:
Step-down transformers reduce voltage. Current increases correspondingly. Frequency remains unchanged.
A step-down transformer reduces the output voltage relative to the input voltage. Since power is approximately conserved, VpIp ≈ VsIs a reduction in voltage results in an increase in current. Transformers do not alter the frequency of AC. Therefore only statement 1 is correct.
- Option B: Describes a step-up transformer, where voltage increases and current decreases.
- Option C: A step-down transformer does not necessarily decrease both voltage and current.
- Option D: Transformers do not change the frequency of alternating current.
Used
- Elimination
Application:
- �� Compare each option with the definition and function of a step-down transformer.
Final Logic:
- �� Lower voltage and higher current characterize a step-down transformer.
- Step-Down V, Step-Up I
15 To minimize flux leakage, the primary and secondary coils can be wound ________, mitigating the effect of ________ in the core.
�� Flux leakage occurs when flux does not link both coils. �� Coils wound closely improve coupling. �� Air gaps increase leakage.
Flux leakage can be minimized by winding the primary and secondary coils over one another. This arrangement ensures that a larger fraction of the magnetic flux links both coils. Air gaps interrupt magnetic coupling and contribute to flux leakage. Hence Option B is correct.
- �� Option A → Separate windings increase leakage.
- �� Option C → Large separation worsens flux linkage.
- �� Option D → Insulation is essential and eddy currents are unrelated to coil insulation.
Used
- Elimination
Application:
- �� Select the arrangement that maximizes magnetic coupling.
Final Logic:
- �� Closely wound coils reduce leakage flux.
- Closer Coils → Less Leakage
16 Choose the correct statements about resistance in transformer windings
1. Wire used for windings has inherent resistance.
2. Energy is lost as heat due to I²R dissipation.
3. Thick wire minimizes loss in high-current, low-voltage windings.
4. Resistance heating improves the overall magnetic flux linkage.
Wires possess resistance. Resistance causes heating losses. Thick wires reduce resistance.
Transformer windings are made of conducting wire and therefore possess resistance. Current through the winding produces heat loss given by I²R. To reduce this loss, thicker wire is used in high-current windings because it lowers resistance. Resistance heating is an energy loss and does not improve magnetic flux linkage. Hence statements 1, 2 and 3 are correct. Therefore, Option A is correct.
- Option B: Includes statement 4, which is incorrect because resistance heating is a loss mechanism.
- Option C: Includes statement 4, which is incorrect because resistance heating does not improve flux linkage.
- Option D: Includes statement 4, which is incorrect because resistance heating reduces efficiency rather than improving transformer performance.
Used
- Elimination
Application:
- �� Reject all options containing the false statement about resistance heating.
Final Logic:
- �� Only Option A contains all correct statements.
- Thick Wire = Less I²R Loss
17 Match List I with List II regarding transformer design
| List I | List II |
|---|---|
| 1. Alternating magnetic field | a. Induces eddy currents |
| 2. Solid iron core | b. Prone to high eddy currents |
| 3. Laminated core | c. Reduces eddy current losses |
| 4. Heat generation | d. Caused by eddy currents |
Alternating magnetic fields induce eddy currents. Solid cores encourage eddy currents. Laminations reduce eddy current losses.
An alternating magnetic field induces eddy currents in conducting cores. A solid iron core permits large eddy currents and hence greater losses. Laminated cores break the current paths and significantly reduce eddy current losses. The energy lost through eddy currents appears as heat. Therefore: 1 → a 2 → b 3 → c 4 → d Hence Option A is correct.
- Option B: Incorrectly matches the magnetic field, core properties, and heating effects.
- Option C: Reverses the roles of solid and laminated cores.
- Option D: Incorrectly associates lamination and heat generation with the wrong effects.
Used
- Option Grouping
Application:
- �� Match each transformer component or phenomenon with its corresponding physical effect.
Final Logic:
- �� Only Option A provides all four correct pairings.
- Lamination Limits Loss
18 Question:
Choose the correct statements regarding magnetisation reversal
1. The core's magnetisation is repeatedly reversed.
2. This reversal is driven by the alternating magnetic field.
3. Expenditure of energy in the core appears as heat.
4. Magnetic materials with high hysteresis loss are strictly preferred.
AC repeatedly reverses magnetisation. Hysteresis consumes energy. Heat is generated in the core.
The alternating magnetic field continuously reverses the magnetisation of the transformer core. This repeated reversal causes hysteresis loss. The energy spent in overcoming hysteresis appears as heat. Transformer cores are made from materials having low hysteresis loss, not high hysteresis loss. Therefore statements 1, 2 and 3 are correct. Hence Option B is correct.
- Option A: Includes statement 4, which is incorrect because transformer cores require low-hysteresis materials.
- Option C: Includes statement 4, which is incorrect because high hysteresis loss increases energy wastage.
- Option D: Omits correct statement 1 and includes incorrect statement 4.
Used
- Elimination
Application:
- �� Reject options containing the false statement about high hysteresis loss.
Final Logic:
- �� Transformers require low-hysteresis materials for higher efficiency.
- Low Hysteresis = Better Core
19 In the large-scale transmission of electrical energy, the voltage output of the generator is stepped-up so that
�� High voltage transmission reduces current. �� Lower current reduces I²R losses. �� Frequency remains unchanged.
For a given power, P = VI Increasing transmission voltage reduces current. Since transmission loss is proportional to I²R, a lower current dramatically reduces power loss. This is why electricity is transmitted at very high voltages. Hence Option B is correct.
- �� Option A → Transformers do not change frequency.
- �� Option C → Current is reduced, not increased.
- �� Option D → Resistance remains essentially unchanged.
Used
- Conceptual Elimination
Application:
- �� Use the transmission-loss equation.
Final Logic:
- �� Higher voltage means lower current and lower I²R loss.
- High V → Low Loss
20 Identify the incorrect statement about the power distribution grid
�� Power is transmitted at high voltage. �� Substations reduce voltage gradually. �� Generator output is not directly supplied to homes.
In electrical power systems, generator output is first stepped up to very high voltages for efficient long-distance transmission. Near consumers, substations step down the voltage. Distribution transformers mounted on utility poles further reduce the voltage to household levels such as 240 V. Therefore, statement D is incorrect.
- �� Option A → Correct description of high-voltage transmission.
- �� Option B → Correct description of substations.
- �� Option C → Correct description of local distribution transformers.
Used
- Elimination
Application:
- �� Compare each statement with the standard power distribution sequence.
Final Logic:
- �� Electricity is stepped up before transmission and stepped down before use.
- Generate → Step-Up → Transmit → Step-Down
