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Joules heating is given by,
H = i 2 Rt
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 / ) 2 Rt = (1/4)i 2 Rt = (1/4)H
Heat produced will decrease 4 times.
Good Luck!
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