Question:
A circuit area 0.01 $m²$ is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 ms. If the resistance of the circuit is 2 $Ω$. The amount of heat evolved is
A circuit area 0.01 $m²$ is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 ms. If the resistance of the circuit is 2 $Ω$. The amount of heat evolved is
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A circuit area 0.01 $m
Updated On: Apr 15, 2026
- 0.05 J
- 50 J
- 0.50 J
- 500 J
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The Correct Option is A
Solution and Explanation
Step 1: Induced EMF
$|e| = A \frac{dB}{dt} = 0.01 \times \frac{2-1}{10^{-3}} = 10 \text{ V}$.
Step 2: Current
$i = \frac{|e|}{R} = \frac{10}{2} = 5 \text{ A}$.
Step 3: Heat
$H = i^{2}Rt = (5)^{2} \times 2 \times 10^{-3} = 0.05 \text{ J}$.
Final Answer: (A)
$|e| = A \frac{dB}{dt} = 0.01 \times \frac{2-1}{10^{-3}} = 10 \text{ V}$.
Step 2: Current
$i = \frac{|e|}{R} = \frac{10}{2} = 5 \text{ A}$.
Step 3: Heat
$H = i^{2}Rt = (5)^{2} \times 2 \times 10^{-3} = 0.05 \text{ J}$.
Final Answer: (A)
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