Question

the current passing through a room heater has been halved what will happen to the heat produced by it?

Answer 1

Joules heating is given by,

H = i2Rt

H is the heat produced, i is the current through the wire of resistance R for time t.

If i is halved, i.e., i/ = i/2, then

H/ = (i/)2Rt = (1/4)i2Rt = (1/4)H

Heat produced will decrease 4 times. Hope this helps! :)

Answer 2

H=I^RT according to Joules law
H=(I/2)^2RT
=RT/4
Therefore the heat produced will be quartered.
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