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JEE Main 20127 MayOnline
Exam
JEE Main
Year
2012
Date
7 May
Mode
Online
Subject
Physics
Chapter
Alternating Current

JEE Main 2012 · 7 May · Online · Physics · Alternating Current

In an L C R circuit shown in the following figure, what will be the...

In an LCRL C R 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 V220 \mathrm{~V} and 100 Hz100 \mathrm{~Hz} is connected to it as shown? In an L C R circuit shown in the following figure, what will be the readings of the voltmeter across the resistor and

Options

  1. A800 V,8 A800 \mathrm{~V}, 8 \mathrm{~A}
  2. B110 V,1.1 A110 \mathrm{~V}, 1.1 \mathrm{~A}
  3. C300 V,3 A300 \mathrm{~V}, 3 \mathrm{~A}
  4. D220 V,2.2 A220 \mathrm{~V}, 2.2 \mathrm{~A}

Correct answer

D. 220 V,2.2 A220 \mathrm{~V}, 2.2 \mathrm{~A}

Step-by-step solution

In case of series RLC circuit, Equation of voltage is given by \mathrm{V}^2=V_R^2+\left(V_L-V_C^2\right) Here, V=220V;VL=VC=300V=220 V ; V_L=V_C=300\mathrm{~V}∴VR=\therefore V_R=\sqrt{V^2}=220220\mathrm{~V}CurrentCurrenti=\frac{V}{R}=\frac{220}{100}=2.2 \mathrm{~A}
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