Question

The current through a resisstor is made three times its initial value calculate how will it affect the heat produced in that ressistor

Answer 1

it will be 9 times the initial used as h is equal to I square RT

Answer 2

The current through the resistor is made 3 times the initial value so effect of heat produced in resistor is 9 times the initial value.

●Let initial current be i and initial heat produced in resistor be H1

●the resistance of resistor be R which is constant for a given resistor.

So heat produced in resistor H=i^2RT

Initially heat produced =H1=i1^2RT

Let current be i2

According to condition i2=3×i1

So heat produced =i2^2RT

H2=(3i1)^2RT

H2=9i1RT

H2/H1=9i1RT/i1RT

H2/H1=9

H2=9H1

So heat produced in resistor be 9 times if we increase initial current to 3 times.