Question

Heat energy dissipated across a conductor carrying current I connected to an unknown resistance R for a time t is H.
Calculate the value of resistance R in terms of other parameters.

• A. $R=\frac{H}{I^{2}t}$
• B. $R=\frac{2H}{I^{2}t}$
• C. $R=\frac{H}{I^{3}t}$
• D. $R=\frac{2H}{I^{3}t}$

Answer 1

The correct option is A $R=\frac{H}{I^{2}t}$

Heat energy dissipated is given by $H=I^{2}Rt$

Where,
I = Current flowing through the conductor
R = Resistance of the conductor and
t = Time for which current has flown in the conductor.

Arranging the above formula for R we get,

$R=\frac{H}{I^{2}t}$