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In a coil of resistance 8 Ω, the magnetic flux due to an external magnetic field varies with time as φ = 2/3 (9 − t²). The value of total heat produced in the coil, till the flux becomes zero, will be ______ J.
- 2.00
- 2.00
- 2.00
- 2.00
Correct answer: 2.00
Solution
The total heat produced in the coil can be calculated using the formula Q = I²Rt, where I is the induced current, R is the resistance, and t is the time until the magnetic flux becomes zero. By applying Faraday's law of electromagnetic induction, we find that the induced EMF leads to a current that results in a total heat of 2.00 J when the flux reaches zero.
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