The heat developed in an electric wire varies jointly as the wire's resistance, the time the current flows, and the square of the current. in two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. what resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?

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9 August, 14:19

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Jayden Daniels · Answer 1

H=RTI²k where k is a constant.

1200=8*2*64k=1024k, so k=1200/1024=75/64.

So 6000=R*5*100*75/64=9375/16 and R=6000*16/9375=10.24 ohms.