Answer :

The amount of work done when an electric charge, move against a potential difference which is denoted by V is given by;

W=V x Q …….. (1)


From the above expression,


V=W/Q


We know that,


V=IR …….. (2)


Q=It……… (3)


Therefore,


I=Q/t


Let us substitute (2) and (3) in (1) we get,


W=(IR)(It)


W=H


Where H is the amount of heat produced, it is expressed in Joules J and I is expressed in terms of Ampere.


Therefore, we can write


H = I2Rt


(b) Given


Charge given, Q = 96000 C


Time given (t) = 2 hour = 2 × 60 × 60 s =7200 s


Voltage (V) = 40 V


We know that, current can be found out by using the formula,


I = Q/t


I = 96000/7200 = 40/3 A


Amount of heat generated can be found out using the formula,


H = VIt = 40 × 40/3 × 7200 = 3840 kJ


Thus, the “amount of heat” generated is 3840 kJ


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