Question

If an alternating voltage is given by the equation, $E=20\sin \left(100\pi t\right)\text{V}$, then calculate its value at time, $t=\frac{1}{600}\text{s}$.

• A. $5\text{V}$
• B. $8\text{V}$
• C. $10\text{V}$
• D. $12\text{V}$

Answer 1

The correct option is C $10\text{V}$

Given:

Voltage, $E=20\sin \left(100\pi t\right)\text{V}$

At $t=1/600\text{s}$

$E=20\sin (100\pi \times 1/600)\text{V}$

$\Rightarrow E=10\text{V}$

$\text{Note:}$

Angle in the above equations is in radian.