CBSE Class 10 Answered

The first equation H R

We write, Work Done, W = Q × V = I × t × I × R = I² × R × t

All the electrical work done or all the electrical energy consumed is converted into the heat energy.

Therefore, replacing work done to heat produced.

Hence, H = I² × R × t

The second equation, E  V²t/R

Electrical energy = power × t = V²t/R (since, P = V²t/R)

Hence, electrical energy consumed by an electrical appliance is given by the product of its power rating and time for which it is used.

This is how these expressions show seemingly different dependence on R.