Question

54. The average power in a very short
interval of time at a particular instant
is called as :

Answer 1

The average power in a very short interval of time at a particular instant is called the Instantaneous power.

• The instantaneous power is measured for short time, which means the Δt is extremely small.
• As we know its formula P=ΔE/Δt.
• There is other way average power can be classified, in which time Δt in the equation is very large.
• There is also peak power in which the maximum value of the instantaneous power will have longer period.

Answer 2

The average power in a very short interval of time at a particular instant is called as Instantaneous Power.

First of all , let's describe Power :

Power is a scalar quantity represented by the instantaneous rate of work done with respect to time.

Mathematically , we can represent Power as a ratio of Work and Time.

$\boxed{ \sf{power = \frac{\Delta W}{\Delta t} }}$

Now , the question mentions that the time interval is very short , so we can change :

$\boxed{ \sf{\Delta t \: \longrightarrow \: dt}}$

So , there is also be a corresponding amount of work done on the time interval dt.

The Equation changes to :

$\boxed{ \sf{instantenous \: power = \frac{dW}{dt} }}$