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Q.

100 J of heat is produced per second in a 4 Ω resistor. What is the potential difference across the resistor?

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a

30 V

b

40 V

c

50 V
 

d

20 V 

answer is D.

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Detailed Solution

detailed_solution_thumbnail

The potential difference across the resistor is 20 V.
Given,
Heat, H = 100 J
Time, = 1 s
Resistance, = 4 Ω
We know that the heat (H) is given by the relation:
H=I2Rt 
On substituting the given values, we get
100=I2×4×1
I2=25
= 5 A
From the Ohm's law, we get
V=IR
On substituting the values, we get
V=5×4 

V=20 v

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