Two resistors of equal value are connected in parallel with each other. the power dissipated by the two resistors will be equal to the ? .

Sum of the power dissipated by each resistor connected in parallel.

Solution:

As per the question:

Let the equal value resistor be of R' each.

In parallel, the equivalent resistance is given by:

The power dissipated in parallel is given by:

                                                (1)

Also, it can be seen that the overall power dissipated in the resistors is equal to the sum of the power dissipated in each resistor.

Now,

Power dissipated in one resistor, P =

Sum of the power dissipated in each resistor, P =         (2)

Thus from eqn (1) and (2), we can say that the sum of the power in the two resistors connected in parallel is equal.

d eras and periods