CUET · PHYSICS · PYQ PAPER 2023
The magnetic flux \(\Phi\), linked with a coil of resistance 5 \(\Omega\) varies with time as \(\Phi = (5t^2 - 4t + 1)\text{Wb}\). The current induced in the coil at 0.2 s is :
- A 0.4 A
- B 0.2 A
- C 3.2 A
- D 1.2 A
Answer & Solution
Correct Answer
(A) 0.4 A
Step-by-step Solution
Detailed explanation
\( \mathcal{E} = -\frac{d\Phi}{dt} = -\frac{d}{dt}(5t^2 - 4t + 1) = -(10t - 4) \) \( \mathcal{E}(0.2 \text{ s}) = -(10(0.2) - 4) = -(2 - 4) = 2 \text{ V} \) \( I = \frac{\mathcal{E}}{R} = \frac{2 \text{ V}}{5 \Omega} = 0.4 \text{ A} \)
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