Question

A single phase full bridge V.S.I. has a source voltage of 200 V. The load consists of RLC in series, where $R=1\Omega ,\omega L=7\Omega and\frac{1}{\omega C}=6\Omega .$ The fundamental component of load current would be

• A. $180\sin (\omega t+{45}^{\circ })$
• B. $180\sin (\omega t-{45}^{\circ })$
• C. $127.3\sin (\omega t-{45}^{\circ })$
• D. $127.3\sin (\omega t+{45}^{\circ })$

Answer 1

The correct option is B $180\sin (\omega t-{45}^{\circ })$

${\hat{I}}_{o1}=\frac{4}{\pi \left|Z_1\right|}{V}_{dc}=\frac{4\times 200}{\pi \times \sqrt{2}}=180$

$\tan \varphi =\frac{X_{L1}-X_{C1}}{R}=1,$

$\varphi ={45}^{\circ }$

$\therefore i_{O1}=180\sin (\omega t-{45}^{\circ })$