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AIIMS 2005
Exam
AIIMS
Year
2005
Subject
Physics
Chapter
Alternating Current

AIIMS 2005 · Physics · Alternating Current

A 50 ~Hz a.c. source of 20 volts is connected across R and C as...

A 50 Hz50 \mathrm{~Hz} a.c. source of 20 volts is connected across RR and CC as shown in figure. The voltage across RR is 12 volt. The voltage across CC is A 50 ~Hz a.c. source of 20 volts is connected across R and C as shown in figure. The voltage across R is 12 volt. The

Options

  1. A8 V8 \mathrm{~V}
  2. B16 V16 \mathrm{~V}
  3. C10 V10 \mathrm{~V}
  4. Dnot possible to determine unless values of RR and CC are given.

Correct answer

B. 16 V16 \mathrm{~V}

Step-by-step solution

: v=50 \mathrm{~Hz}, V=20 \mathrm{~V}, V_R=12 \mathrm{~V}IncaseofIn case ofR Ccircuit,circuit,V=\sqrt{V_R^2+V_C^2} ⇒(20)2=(12)2+(VC)2⇒(VC)2=400−144=256⇒VC=16 V\begin{aligned}& \Rightarrow(20)^2=(12)^2+\left(V_C\right)^2 \\ & \Rightarrow\left(V_C\right)^2=400-144=256 \Rightarrow V_C=16 \mathrm{~V} \end{aligned}
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