A resistor `R` has power of dissipation `P` with cell voltage `E`. The resistor is cut in equal parts and all parts are connected in parallel with same cell. The new power dissipation is

Options

A. `nP`
B. `nP^2`
C. `n^2P`
D. `n//P`

Answer

C

Explanation

`P=V^2/R` or `P prop 1/R`…..i
Resistor is cut in n equal parts. Therefoe, each resistance will become `R/n`. Now, these are connected in paralllel. Therefore, net resistance will become `1/n` times `R/n` or `R/n^2`.
Now, from Eq. i power will becomes `n^2` times.