15. A potential difference of 100 V is applied
across a wire for 6 minutes and 58 seconds. If
the current through the wire is 0.1 A, find the
heat produced in calorie.
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Given potential difference V = 100volts,
Resistance of the resistor, R = 50ohms.
So power produced in the circuit , P =(V^2)/R
i.e. P = 100*100/50 = 200 watt = 200 J/s.
But we know, P = energy/ time
So, energy = power * time
Time should be taken in it's standard units i.e seconds
6min 58 seconds = (6*60)+58 = 418 seconds.
Energy = (200 *418)J = 83,600J
We know that 1calorie = 4.184J
So, energy= (83,600)/4.184 = 19,980.87 calories.
Final answer :-(1) energy = 83,600 J
(2) energy = 19,980.87 calories.
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