Question

100 joules of heat is produced per second in a 4 ohm resistor.what is the potential difference across the resistor?

Answer 1

Hey !

Solution :

Heat is directly proportional to the square of Potential Difference of the circuit. Also, it is Inversely proportional to Resistance of the conductor. This can be given in the form of equation as :

H = K V² / T.

Here H = Heat, K = Constant of Proportionality, V = Potential Difference,
 R = Resistance.

So we know that, K = 1, H = 100 J, R = 4 Ω. Substituting in the formula we get,

100 J = 1 × V² / 4 Ω

=> 100 J × 4 Ω = V²

=> 400 J / Ω = V²

=> V = √ 400 = 20 J / Ω 

=> V = 20 V

Hence the potential difference is 20 V.

Hope it helped :-)

Answer 2

we know that:
H=v²t/R
where H= heat energy
100=v²×1/4
v²=400
v=20volt
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