Question

If phase difference between voltage $\left(E\right)$ and current $\left(i\right)$ is $\frac{\pi }{4}$ and frequency, $f=50\text{Hz}$. Calculate the time difference.

• A. $1.5\text{ms}$
• B. $2.5\text{ms}$
• C. $3.5\text{ms}$
• D. $4.5\text{ms}$

Answer 1

The correct option is B $2.5\text{ms}$

The time difference,

$\Delta t=\frac{T}{2\pi }\times \Delta \varphi$

$\Rightarrow \Delta t=\frac{1}{2\pi f}\times \Delta \varphi$

$\Rightarrow \Delta t=\frac{1}{2\pi \times 50}\times \frac{\pi }{4}=2.5\times {10}^{-3}\text{s}=2.5\text{ms}$