Question

Derive the formulas for power, including the following:*P=QV/t*P=IV*P=I²R

Answer 1

Power is defined as the ratio of the work done to the per unit of time. In mathematical terms, it can be represented as

`\begin{gathered} P=(W)/(t) \\ =(QV)/(t) \end{gathered}`

*Here W is the work done.

*Here Q is the charge.

*Here V is the potential difference.

*Here t is the time.

The power is defined as the product of the current and the voltage. It is given as

`P=IV`

*Here I is the current.

*Here V= IR is the voltage.

Substitute the known values in the above expression as

`\begin{gathered} P=I*(IR) \\ =I^2R \end{gathered}`