Current Electricity Charging Discharging Of Capacitors Question 485

Question: A coil develops heat of 800 cal/sec. When 20 volts is applied across its ends. The resistance of the coil is (1 cal = 4.2 joule)

[MP PET 1994]

Options:

A) $ 1.2,\Omega $

B) $ 1.4,\Omega $

C) $ 0.12,\Omega $

D) $ 0.14,\Omega $

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Answer:

Correct Answer: C

Solution:

$ H=\frac{V^{2}t}{4.2,R} $ or $ \frac{H}{t}=\frac{V^{2}}{4.2,R} $

Therefore $ 800=\frac{20\times 20}{4.2\times R} $

Therefore $ R=\frac{5}{42}=0.119\approx 0.12,\Omega $