Question

In an $LCR$ circuit shown in the following figure, what will be the readings of the voltmeter across the resistor and ammeter if an $a.c.$ source of $220V$ and $100\, Hz$ is connected to it as shown?

• A. $800\,V, 8\,A$
• B. $110\,V, 1.1\,A$
• C. $300\,V, 3\,A$
• D. $220V, 2.2\,A$

Answer 1

Answer: (D)

$220V, 2.2\,A$

Answer 2

In case of series RLC circuit, Equation of voltage is given by $V^{2}=V^{2}_{R}+\left(V_{L}-V_{C}^{2}\right)$ Here, $V=220\,V; V_{L}=V_{C}=300\,V$ $\therefore V_{R}=\sqrt{V^{2}}=220V$ $Current \,i =\frac{V}{R}=\frac{220}{100}=2.2A$