Current through a metallic conductor is tripled while its resistance and the time are held constants. Under these conditions, the heat generated in the conductor will increase by a factor of-
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Given: current is tripled, resistance and time is constant
To find: Heat generated in the conductor
Solution: we know that heat produced in a conducting wire can be calculated through the given formula:
H=I^2Rt
where H is heat generated in joules
I is current in the conductor
R is the resistance of the conductor
t time of current flow
we are given that time and resistance has kept constant
Therefore, we can say that H ∝ I^2
that is amount of heat produced in a conductor is directly proportional to the square of the amount of current flowing through the conductor.
H1/H2= (I1/I2)^2
where H1 and I1 are after the change in current
H1= H2(3I/I)^2= H2(9)
Therefore, we can say that heat generated will be increased by the factors of 9.