Question

Which of the following is a correct equation relating power and energy. p=\frac{dw}{dt}p= dt dw ​ p=\frac{dq}{dt}p= dt dq ​ p=\frac{dv}{dt}\cdot\frac{di}{dt}p= dt dv ​ ⋅ dt di ​ p=\int_{t_0}^{t} w(\tau) d\tau + w(t_0)p=∫ t 0 ​ t ​ w(τ)dτ+w(t 0 ​ )

Answer 1

Question : Which of the following is a correct equation relating power and energy.

1. P = dW/dt
2. P = dq/dt
3. P = dV/dt . di/dt
4. P = ∫W(τ) dτ + W(to)

solution : we know, power is the amount of energy required in a specific time.

in short, power is the ratio of energy with respect to time.

as energy is equal to workdone by the object.

so, power = workdone/time

i.e., P = dW/dt

Therefore option (1) is correct choice.