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?

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

Tardigrade Admin · Accepted Answer

In case of series RLC circuit, Equation of voltage is given by V2=V2R+(VL-VC2) Here, V=220 V; VL=VC=300 V ∴ VR=√V2=220V Current i =(V/R)=(220/100)=2.2A

Q. In an $L CR$ 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 $220 V$ and $100 Hz$ is connected to it as shown?

$800 V, 8 A$

$110 V, 1.1 A$

$300 V, 3 A$

$220 V, 2.2 A$

In case of series RLC circuit, Equation of voltage is given by
$V^{2} = V_{R}^{2} + (V_{L} - V_{C}^{2})$
Here, $V = 220 V; V_{L} = V_{C} = 300 V$
$∴ V_{R} = V^{2} = 220 V$
$C u rre n t i = \frac{V}{R} = \frac{220}{100} = 2.2 A$

Q. 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 100Hz is connected to it as shown?

800V,8A

110V,1.1A

300V,3A

220V,2.2A