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AIIMS 2007
Exam
AIIMS
Year
2007
Subject
Physics
Chapter
Alternating Current

AIIMS 2007 · Physics · Alternating Current

In an A C circuit the potential differences across an inductance...

In an ACA C circuit the potential differences across an inductance and resistance joined in series are respectively (16 \mathrm{~V}) and (20 \mathrm{~V}). The total potential difference of the source is

Options

  1. A(20.0 \mathrm{~V})
  2. B(25.6 \mathrm{~V})
  3. C(31.9 \mathrm{~V})
  4. D(53.5 \mathrm{~V})

Correct answer

B. (25.6 \mathrm{~V})

Step-by-step solution

(V_L=16 \mathrm{ V}, V_R=20 \mathrm{ V}). In the inductor the current lags by (\frac{\pi}{2}). (∴V=VL2+VR2=256+400∴Vtotal =25.6V.\begin{array}{ll} \therefore \quad V=\sqrt{V_L^2+V_R^2}=\sqrt{256+400} \\ \therefore \quad V_{\text{total }}=25.6 \mathrm{ V} . \end{array})
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