CUET · PHYSICS · PYQ PAPER 2023

A coil of 500 turns is threaded by a magnetic flux of \( 7 \times 10^{-5} \text{ Wb} \). If the flux changes to \( 3 \times 10^{-5} \text{ Wb} \) in 0.01 s, what average induced emf is developed in the coil? If resistance offered by the coil is \( 10 \, \Omega \), then the flow of average induced current will be :

A 3 V, 0.3 A
B 1 V, 0.2 A
C 2 V, 0.2 A
D 4 V, 0.1 A

Verified Solution

Answer & Solution

Correct Answer

(C) 2 V, 0.2 A

Step-by-step Solution

Detailed explanation

\(E = -N \frac{\Delta\Phi}{\Delta t}\) \(E = -500 \frac{(3 \times 10^{-5} - 7 \times 10^{-5})\text{ Wb}}{0.01 \text{ s}}\) \(E = -500 \frac{-4 \times 10^{-5}}{0.01}\) \(E = 2 \text{ V}\) \(I = \frac{E}{R}\) \(I = \frac{2 \text{ V}}{10 \, \Omega}\) \(I = 0.2 \text{ A}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match List - I with List - II.

List - I (Electromagnetic waves)	List - II (Uses)
(A) Radio waves	(I) Aircraft navigation
(B) Ultraviolet rays	(II) Physical therapy
(C) Infrared waves	(III) Television communication systems
(D) Microwaves	(IV) Kill germs in water purifiers

Choose the correct answer from the options given below :

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