An electric lamp connected in series with a capacitor and an a.c source is glowing with certain brightness. On reducing the frequency of source the brightness of the lamp

Question

In an a.c. circuit, voltage and current are given by: \[ V = 100 \sin(100t) \, \text{V} \quad \text{and} \quad I = 100 \sin\left(100t + \frac{\pi}{3}\right) \, \text{mA}. \] The average power dissipated in one cycle is:

Answer 1

Step 1: Reactance
$X_C \propto 1/f$, so lowering $f$ raises $X_C$.

Step 2: Current
Impedance goes up, so $I$ goes down.

Step 3: Answer
Dimmer lamp, option (B).

Final Answer:
Option (B). \[ \boxed{\text{Reduced}} \]

An electric lamp connected in series with a capacitor and an a.c source is glowing with certain brightness. On reducing the frequency of source the brightness of the lamp

Show Hint

The Correct Option is B

Solution and Explanation

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