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MHT CET · Physics · Alternating Current

A light bulb connected in series with a capacitor and an a.c. source is glowing with a certain brightness. On reducing the capacity of capacitance and frequency of source, the brightness of the lamp (respectively)

  1. A is reduced, is increased
  2. B is reduced, is reduced
  3. C is increased, is reduced
  4. D is increased, is increased
Verified Solution

Answer & Solution

Correct Answer

(B) is reduced, is reduced

Step-by-step Solution

Detailed explanation

The capacitive reactance is given by \(\mathrm{X}_{\mathrm{C}}=\frac{1}{2 \pi \mathrm{fC}}\) If f or C is reduced, \(\mathrm{X}_{\mathrm{C}}\) will also increase. This results in the increase of the total impedance of the circuit. Hence, both the current and brightness will decrease.
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