CUET UG Physics Booster Test 3-Transformers and Energy Transmission
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QUESTION 1 OF 20
Consider the statements regarding transformer induction. Choose the correct statements.
1. An alternating voltage applied to the primary creates a static magnetic field.
2. The alternating flux links the secondary and induces an emf in it.
3. The principle of mutual induction dictates this energy transfer.
4. Direct current cannot produce the continuously changing alternating flux.
QUESTION 2 OF 20
Regarding the core of a typical transformer,
1. it must be made of hard steel to retain permanent magnetism.
2. it is made of soft-iron to facilitate alternating magnetic flux linkage.
3. it physically conducts electrical current between the primary and secondary.
4. the coils wound on it are completely uninsulated.
QUESTION 3 OF 20
Choose the incorrect statement about the primary coil
1. It acts as the input coil of the transformer.
2. A back emf is induced in it due to the alternating flux.
3. Its resistance is strictly assumed to be very large in an ideal transformer.
4. The induced emf ep is assumed to be equal to the applied voltage vp.
QUESTION 4 OF 20
If the secondary circuit is an open circuit or the current taken from it is small,
1. the induced emf es automatically drops to zero
2. the current taken from it is assumed to be infinitely large
3. the voltage across the secondary vs is a good approximation to es
4. the alternating flux permanently fails to link to the secondary coil
QUESTION 5 OF 20
The mathematical relationship linking primary and secondary voltages to their respective turns is:
QUESTION 6 OF 20
Consider the statements regarding the ideal transformer voltage ratio. Choose the correct statements.
1. It assumes extremely little flux escapes from the core.
2. It assumes the primary current and resistance are very small.
3. It assumes the secondary current is small.
4. It works without relying on Faraday's law of induction.
QUESTION 7 OF 20
Match List I with List II regarding transformer efficiency
| List I | List II |
|---|---|
| 1. 100% Efficiency | a. Equal to ip × vp |
| 2. 95% Efficiency | b. Achievable in well-designed actual transformers |
| 3. Power Input | c. Theoretical ideal assumption where no energy is lost |
| 4. Power Output | d. Equal to is × vs |
QUESTION 8 OF 20
If efficiency is ideal, the relationship between primary and secondary power is an exact ________, making the transformer a device that merely ________ energy form without violating conservation laws.
QUESTION 9 OF 20
In an ideal transformer, the primary voltage is 200 V and the secondary voltage is 1000 V. If the secondary current is 2 A, what is the primary current?
QUESTION 10 OF 20
Identify the incorrect statement about high tension power transmission
1. High voltage leads to a proportionally lower transmission current.
2. I²R heat losses are heavily minimized when current is small.
3. High tension transmission eliminates the need for any transformers.
4. Transformers at the generating station step up the voltage before long-distance transmission.
QUESTION 11 OF 20
For a step-up transformer, the mathematical ratio of secondary turns to primary turns must be:
QUESTION 12 OF 20
Consider the statements regarding the step-up transformer. Choose the correct statements.
1. They elevate the alternating voltage.
2. They decrease the alternating current proportionally.
3. They fundamentally violate the law of conservation of energy.
4. They operate strictly with Ns > Np.
QUESTION 13 OF 20
In analytical terms, a step-down transformer functions by ensuring that the voltage is reduced, which mathematically requires that
QUESTION 14 OF 20
Choose the correct statements about the necessity of voltage reduction
1. It provides safe operating voltages for household appliances (e.g., 240 V).
2. It occurs at area sub-stations near consumer localities.
3. It reverses the high tension transmission state to a highly usable state.
4. It actively increases the overall power generated by the grid.
QUESTION 15 OF 20
The physical arrangement of winding the primary and secondary coils one over the other
QUESTION 16 OF 20
Match List I with List II concerning winding design constraints
| List I | List II |
|---|---|
| 1. Thick wire usage | a. Has higher electrical resistance per unit length |
| 2. Thin wire usage | b. Reduces I²R loss effectively |
| 3. High current winding | c. Corresponds to the low voltage side |
| 4. Low current winding | d. Corresponds to the high voltage side |
QUESTION 17 OF 20
When the solid core is replaced by a ________ core, the magnitude of induced ________ is substantially reduced, preventing excessive energy loss as heating.
QUESTION 18 OF 20
Because the alternating magnetic field repeatedly reverses the magnetisation of the core,
QUESTION 19 OF 20
A power plant generates 100 kW of power at 1000 V. If it is stepped up by a transformer with Ns/Np = 10 for transmission, what is the current in the transmission line? (Assume ideal transformer)
QUESTION 20 OF 20
Electrical grid sequence statements
1. Voltage is stepped up immediately after generation.
2. Transmission occurs over long distances at high voltage.
3. Voltage is stepped down at distributing sub-stations and utility poles.
4. Home power supply is typically around 2400 V.
Test Complete!
Answer Review
1 Consider the statements regarding transformer induction. Choose the correct statements.
1. An alternating voltage applied to the primary creates a static magnetic field.
2. The alternating flux links the secondary and induces an emf in it.
3. The principle of mutual induction dictates this energy transfer.
4. Direct current cannot produce the continuously changing alternating flux.
�� Transformer works on mutual induction. �� Alternating flux links both coils. �� DC cannot maintain continuously changing flux.
Statement 2 is correct because alternating current in the primary produces a changing magnetic flux that links the secondary and induces emf according to Faraday's law. Statement 3 is correct because energy transfer in a transformer occurs through mutual induction between the primary and secondary coils. Statement 4 is correct because direct current produces essentially constant magnetic flux after the transient period, so continuous emf is not induced in the secondary. Statement 1 is incorrect because alternating voltage produces an alternating magnetic field, not a static magnetic field. Therefore, statements 2, 3, and 4 are correct.
- �� Option A → Includes Statement 1, which is incorrect.
- �� Option C → Includes Statement 1, which is incorrect.
- �� Option D → Includes Statement 1, which is incorrect.
Used
- Elimination
Application:
- Eliminate all options containing Statement 1 because alternating voltage cannot create a static magnetic field.
Final Logic:
- Only Option B contains all correct statements and excludes Statement 1.
AC → Alternating Flux → Mutual Induction
2 Regarding the core of a typical transformer,
1. it must be made of hard steel to retain permanent magnetism.
2. it is made of soft-iron to facilitate alternating magnetic flux linkage.
3. it physically conducts electrical current between the primary and secondary.
4. the coils wound on it are completely uninsulated.
�� Soft iron has low hysteresis loss. �� Core guides magnetic flux. �� Primary and secondary remain electrically isolated.
Statement 2 is correct because transformer cores are generally made of soft iron or silicon steel to provide an easy path for alternating magnetic flux and reduce energy losses. Statement 1 is incorrect because permanent magnetism is undesirable in transformer cores. Statement 3 is incorrect because there is no direct electrical connection between primary and secondary windings. Statement 4 is incorrect because transformer windings are insulated to prevent short circuits.
- �� Option A → Hard steel is unsuitable because it retains magnetism.
- �� Option C → Core transfers magnetic flux, not electrical current.
- �� Option D → Windings must be insulated.
Used
- Elimination
Application:
- Identify the only statement consistent with transformer construction.
Final Logic:
- Soft iron core is the standard transformer core material.
Soft Core → Smooth Flux
3 Choose the incorrect statement about the primary coil
1. It acts as the input coil of the transformer.
2. A back emf is induced in it due to the alternating flux.
3. Its resistance is strictly assumed to be very large in an ideal transformer.
4. The induced emf ep is assumed to be equal to the applied voltage vp.
�� Primary is input winding. �� Back emf exists in primary. �� Ideal transformer assumes negligible resistance.
Statement 3 is incorrect because an ideal transformer assumes negligible resistance in the windings. Large resistance would produce power losses and heating. Statements 1, 2, and 4 are correct. The primary receives input voltage, experiences self-induced back emf, and in ideal conditions the induced emf approximately equals the applied voltage.
- �� Option A → Primary is indeed the input coil.
- �� Option B → Back emf is induced in the primary.
- �� Option D → ep ≈ vp in an ideal transformer.
Used
- Elimination
Application:
- Identify the statement violating ideal transformer assumptions.
Final Logic:
- Ideal transformers have negligible winding resistance, not large resistance.
Ideal = Zero Loss = Tiny Resistance
4 If the secondary circuit is an open circuit or the current taken from it is small,
1. the induced emf es automatically drops to zero
2. the current taken from it is assumed to be infinitely large
3. the voltage across the secondary vs is a good approximation to es
4. the alternating flux permanently fails to link to the secondary coil
�� Open circuit means negligible current. �� Induced emf still exists. �� Terminal voltage nearly equals induced emf.
Statement 3 is correct because when the secondary current is negligible, voltage drop across the secondary winding is very small. Therefore, terminal voltage is approximately equal to induced emf. Statements 1, 2, and 4 are incorrect because emf still exists, current is not infinite, and magnetic flux continues to link both windings.
- �� Option A → Induced emf does not become zero.
- �� Option B → Open circuit means current is nearly zero.
- �� Option D → Flux linkage still exists.
Used
- Elimination
Application:
- Remove physically impossible statements.
Final Logic:
- Small current implies negligible voltage drop, giving vs ≈ es.
Open Circuit → Voltage Present, Current Absent
5 The mathematical relationship linking primary and secondary voltages to their respective turns is:
�� Voltage is proportional to turns. �� Transformer ratio comes from Faraday's law. �� More turns produce more induced voltage.
For an ideal transformer, vs / vp = Ns / Np The induced emf in a coil is proportional to the number of turns. Therefore, the ratio of secondary voltage to primary voltage equals the ratio of secondary turns to primary turns. Options A and B reverse the relationship. Option D is dimensionally incorrect.
- �� Option A → Inverse relation written incorrectly.
- �� Option B → Opposite ratio.
- �� Option D → Not the transformer equation.
Used
- Formula Recall / Elimination
Application:
- Use the standard transformer equation directly.
Final Logic:
- Voltage ratio equals turns ratio.
V follows N
6 Consider the statements regarding the ideal transformer voltage ratio. Choose the correct statements.
1. It assumes extremely little flux escapes from the core.
2. It assumes the primary current and resistance are very small.
3. It assumes the secondary current is small.
4. It works without relying on Faraday's law of induction.
�� Flux leakage is negligible. �� Winding resistance is negligible. �� Faraday's law is essential.
Statements 1, 2, and 3 are accepted assumptions used in deriving the ideal transformer relationship. Statement 4 is incorrect because Faraday's law forms the basis of transformer operation and voltage ratio derivation. Hence statements 1, 2, and 3 are correct.
- �� Option B → Includes Statement 4.
- �� Option C → Includes Statement 4.
- �� Option D → Includes Statement 4.
Used
- Elimination
Application:
- Reject any option containing Statement 4.
Final Logic:
- Transformer theory fundamentally depends on Faraday's law.
Transformer = Faraday in Action
7 Match List I with List II regarding transformer efficiency
| List I | List II |
|---|---|
| 1. 100% Efficiency | a. Equal to ip × vp |
| 2. 95% Efficiency | b. Achievable in well-designed actual transformers |
| 3. Power Input | c. Theoretical ideal assumption where no energy is lost |
| 4. Power Output | d. Equal to is × vs |
�� 100% efficiency is ideal. �� Practical transformers have slightly lower efficiency. �� Input and output power definitions are standard.
1 → c because 100% efficiency is the ideal no-loss condition. 2 → b because efficiencies around 95% are achievable in practice. 3 → a because input power equals ip × vp. 4 → d because output power equals is × vs. Thus Option A is correct.
- �� Option B → Interchanges ideal and practical efficiency definitions.
- �� Option C → Incorrectly matches power expressions.
- �� Option D → Multiple mismatched pairs.
Used
- Option Grouping
Application:
- Match definitions with their corresponding physical meanings.
Final Logic:
- Only Option A provides all correct pairings.
Ideal–100, Practical–95
8 If efficiency is ideal, the relationship between primary and secondary power is an exact ________, making the transformer a device that merely ________ energy form without violating conservation laws.
�� Input power equals output power. �� Energy is conserved. �� Transformer changes voltage-current combination.
For an ideal transformer: Power Input = Power Output The transformer does not create energy. It only transforms electrical energy from one voltage-current combination to another. Hence "Equality" and "Transforms" are correct.
- �� Option A → Transformer does not generate energy.
- �� Option C → Power equality exists ideally.
- �� Option D → Transformer does not consume all supplied power.
Used
- Contextual/Tonal Matching
Application:
- Match transformer operation with conservation of energy.
Final Logic:
- Ideal transformer transforms energy without changing total power.
Transform, Don't Create
9 In an ideal transformer, the primary voltage is 200 V and the secondary voltage is 1000 V. If the secondary current is 2 A, what is the primary current?
�� Ideal power is conserved. �� vp ip = vs is. �� Current varies inversely with voltage.
Using vp ip = vs is 200 × ip = 1000 × 2 ip = 2000 / 200 ip = 10 A Therefore the primary current is 10 A.
- �� Option A → Too small.
- �� Option B → Ignores power conservation.
- �� Option D → Excessively large.
Used
- Substitution
Application:
- Substitute values into the ideal transformer power equation.
Final Logic:
- Current increases inversely as voltage decreases.
High V → Low I
10 Identify the incorrect statement about high tension power transmission
1. High voltage leads to a proportionally lower transmission current.
2. I²R heat losses are heavily minimized when current is small.
3. High tension transmission eliminates the need for any transformers.
4. Transformers at the generating station step up the voltage before long-distance transmission.
�� High voltage reduces current. �� Lower current reduces losses. �� Transformers are essential in transmission systems.
Statement 3 is incorrect because transformers are necessary to step up voltage for transmission and step down voltage for consumer use. Statements 1, 2, and 4 are correct and explain the basic principle of efficient power transmission.
- �� Option A → Correct transmission principle.
- �� Option B → Correct explanation of reduced losses.
- �� Option D → Standard transmission practice.
Used
- Elimination
Application:
- Identify the statement contradicting real transmission systems.
Final Logic:
- High-tension transmission depends heavily on transformers.
Step-Up → Send → Step-Down
11 For a step-up transformer, the mathematical ratio of secondary turns to primary turns must be:
�� Step-up transformers increase voltage. �� Voltage ratio equals turns ratio. �� Secondary turns must exceed primary turns.
For an ideal transformer: Vs / Vp = Ns / Np A step-up transformer increases voltage, meaning Vs > Vp. Therefore, the turns ratio must also be greater than one. Hence: Ns / Np > 1 Options A, C, and D contradict the operating principle of a step-up transformer.
- �� Option A → Represents a step-down transformer.
- �� Option C → Would imply no secondary turns.
- �� Option D → Number of turns cannot be negative.
Used
- Substitution
Application:
- Apply the transformer ratio equation directly.
Final Logic:
- Higher secondary voltage requires more secondary turns.
Step-Up → Turns Up
12 Consider the statements regarding the step-up transformer. Choose the correct statements.
1. They elevate the alternating voltage.
2. They decrease the alternating current proportionally.
3. They fundamentally violate the law of conservation of energy.
4. They operate strictly with Ns > Np.
�� Voltage increases. �� Current decreases. �� Energy conservation remains valid.
Statement 1 is correct because a step-up transformer raises voltage. Statement 2 is correct because in an ideal transformer, current decreases when voltage increases to conserve power. Statement 4 is correct because a step-up transformer requires more secondary turns than primary turns. Statement 3 is incorrect because transformers obey conservation of energy. Therefore, statements 1, 2, and 4 are correct.
- �� Option A → Includes Statement 3.
- �� Option B → Includes Statement 3.
- �� Option D → Includes Statement 3.
Used
- Elimination
Application:
- Remove any option containing the incorrect Statement 3.
Final Logic:
- Transformers conserve energy and do not violate physical laws.
High V, Low I
13 In analytical terms, a step-down transformer functions by ensuring that the voltage is reduced, which mathematically requires that
�� Step-down transformers reduce voltage. �� Turns ratio determines voltage ratio. �� Fewer secondary turns give lower voltage.
For an ideal transformer: Vs / Vp = Ns / Np To reduce voltage: Vs < Vp Therefore: Ns < Np and Ns / Np < 1 Hence Option A is correct.
- �� Option B → Represents a step-up transformer.
- �� Option C → Gives equal voltages.
- �� Option D → Transformer cannot operate without the primary coil.
Used
- Substitution
Application:
- Apply the transformer ratio equation.
Final Logic:
- Reduced voltage requires fewer secondary turns.
Step-Down → Turns Down
14 Choose the correct statements about the necessity of voltage reduction
1. It provides safe operating voltages for household appliances (e.g., 240 V).
2. It occurs at area sub-stations near consumer localities.
3. It reverses the high tension transmission state to a highly usable state.
4. It actively increases the overall power generated by the grid.
�� Consumer appliances require lower voltages. �� Substations perform voltage reduction. �� Power generation is not increased.
Statements 1, 2, and 3 are correct because high transmission voltages must be reduced before supply to consumers. Statement 4 is incorrect because transformers do not generate power; they only change voltage and current levels. Therefore, statements 1, 2, and 3 are correct.
- �� Option B → Includes Statement 4.
- �� Option C → Includes Statement 4.
- �� Option D → Includes Statement 4.
Used
- Elimination
Application:
- Remove options containing Statement 4.
Final Logic:
- Transformers redistribute power but do not increase it.
Transmit High, Use Low
15 The physical arrangement of winding the primary and secondary coils one over the other
�� Flux linkage should be maximum. �� Leakage flux reduces efficiency. �� Close winding improves coupling.
Winding the primary and secondary coils one over the other improves magnetic coupling. More magnetic flux produced by the primary links the secondary, reducing leakage flux and improving efficiency. Therefore Option B is correct.
- �� Option A → Not the purpose of coil arrangement.
- �� Option C → Iron core is still required.
- �� Option D → Coil arrangement does not cause hysteresis loss.
Used
- Contextual/Tonal Matching
Application:
- Match the winding arrangement with transformer efficiency improvement.
Final Logic:
- Closer windings maximize common flux linkage.
Closer Coils → Better Coupling
16 Match List I with List II concerning winding design constraints
| List I | List II |
|---|---|
| 1. Thick wire usage | a. Has higher electrical resistance per unit length |
| 2. Thin wire usage | b. Reduces I²R loss effectively |
| 3. High current winding | c. Corresponds to the low voltage side |
| 4. Low current winding | d. Corresponds to the high voltage side |
�� Thick wires reduce resistance. �� High current requires thicker conductors. �� High-voltage side carries lower current.
1 → b because thick wire lowers resistance and reduces I²R loss. 2 → a because thin wire has greater resistance per unit length. 3 → c because the low-voltage side carries higher current. 4 → d because the high-voltage side carries lower current. Thus Option A is correct.
- �� Option B → Reverses thick and thin wire characteristics.
- �� Option C → Multiple mismatched pairs.
- �� Option D → Incorrect current-voltage side associations.
Used
- Option Grouping
Application:
- Match conductor properties with current and voltage requirements.
Final Logic:
- Only Option A gives all physically correct pairings.
High I → Thick Wire
17 When the solid core is replaced by a ________ core, the magnitude of induced ________ is substantially reduced, preventing excessive energy loss as heating.
�� Eddy currents cause heating. �� Laminations increase resistance. �� Energy loss is reduced.
A laminated core breaks up large current loops into smaller paths, increasing resistance to eddy currents. This significantly reduces eddy current heating losses. Hence the correct completion is "Laminated, Eddy currents."
- �� Option B → Solid cores increase eddy currents.
- �� Option C → Alternating flux is necessary for operation.
- �� Option D → Copper is not used as transformer core material.
Used
- Contextual/Tonal Matching
Application:
- Connect laminations with eddy current reduction.
Final Logic:
- Laminations specifically target eddy current losses.
Lamination Limits Loops
18 Because the alternating magnetic field repeatedly reverses the magnetisation of the core,
�� Magnetization reverses continuously. �� Hysteresis causes energy loss. �� Low hysteresis materials are preferred.
Repeated reversal of magnetization causes hysteresis loss. To reduce heat production and improve efficiency, transformer cores are made from materials with low hysteresis loss, such as silicon steel. Therefore Option A is correct.
- �� Option B → Non-magnetic materials cannot efficiently guide flux.
- �� Option C → Alternating magnetization prevents permanent magnet formation.
- �� Option D → Current does not instantly become zero.
Used
- Elimination
Application:
- Identify the statement that directly addresses hysteresis loss.
Final Logic:
- Low hysteresis materials minimize magnetic energy loss.
Low Hysteresis = Low Heat
19 A power plant generates 100 kW of power at 1000 V. If it is stepped up by a transformer with Ns/Np = 10 for transmission, what is the current in the transmission line? (Assume ideal transformer)
�� Step-up transformer increases voltage. �� Power remains constant ideally. �� Current decreases proportionally.
Given: Power = 100 kW = 100000 W Primary voltage = 1000 V Ns/Np = 10 Secondary voltage: Vs = 10 × 1000 = 10000 V Current in transmission line: Is = P / Vs = 100000 / 10000 = 10 A Hence Option B is correct.
- �� Option A → Corresponds to the original current before stepping up.
- �� Option C → Violates power conservation.
- �� Option D → Unrealistically high.
Used
- Substitution
Application:
- Calculate stepped-up voltage first and then use P = VI.
Final Logic:
- Higher transmission voltage results in lower current.
10× Voltage → 1/10 Current
20 Electrical grid sequence statements
1. Voltage is stepped up immediately after generation.
2. Transmission occurs over long distances at high voltage.
3. Voltage is stepped down at distributing sub-stations and utility poles.
4. Home power supply is typically around 2400 V.
�� Voltage is stepped up after generation. �� High-voltage transmission reduces losses. �� Voltage is reduced before reaching consumers.
Statement 1 is correct because generators are followed by step-up transformers. Statement 2 is correct because long-distance transmission is carried out at high voltage. Statement 3 is correct because substations and distribution transformers reduce voltage before supply to homes. Statement 4 is incorrect because household supply is typically about 230–240 V, not 2400 V. Therefore statements 1, 2, and 3 are correct.
- �� Option A → Includes Statement 4.
- �� Option C → Includes Statement 4.
- �� Option D → Includes Statement 4.
Used
- Elimination
Application:
- Reject all options containing the incorrect Statement 4.
Final Logic:
- Domestic supply is around 230–240 V, making Statement 4 false.
Generate → Step-Up → Transmit → Step-Down
