| 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? [JEE ONLINE 07-05-2012] |
 |
A) 800V,8 A
B) 110V.1.1 A
C) 300V, 3 A
D) 220V, 2.2 A
Correct Answer: D
Solution :
| [d] In case of series RLC circuit, |
| Equation of voltage is given by |
| \[{{V}^{2}}=V_{R}^{2}+{{\left( {{V}_{L}}-{{V}_{C}} \right)}^{2}}\] |
| Here,\[V=220V;{{V}_{L}}={{V}_{C}}=300V\] |
| \[\therefore \]\[{{V}_{R}}=\sqrt{{{V}^{2}}}=220V\] |
| Current \[i=\frac{V}{R}=\frac{220}{100}=2.2A\] |
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