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NEET 2015 (AIPMT) · RL and RC Series Circuits

RL and RC Series Circuits question from NEET 2015 (AIPMT)

Q51NEET 2015 · AIPMTEasy

RL and RC Series Circuits

A series R-C circuit is connected to an alternating voltage source. Consider two situations: (a) When capacitor is air filled.

(a) When capacitor is mica filled. Current through resistor is II and voltage across capacitor is VV then

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Answer: (d)

  1. Mica has higher dielectric constant, so Cb>CaC_b > C_a and XC,b<XC,aX_{C,b} < X_{C,a}.
  2. Current i=V0R2+XC2i = \frac{V_0}{\sqrt{R^2 + X_C^2}}: smaller XCX_C gives larger current, so ia<ibi_a < i_b.
  3. Capacitor voltage V=V0XCR2+XC2V = \frac{V_0 X_C}{\sqrt{R^2 + X_C^2}} increases with XCX_C, so Va>VbV_a > V_b.
  4. So the answer is (d) Va>VbV_a > V_b.
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