MHT CET · Physics · Alternating Current
An AC voltage source of variable angular frequency \(\omega\) and fixed amplitude \(V_0\) is connected in series with a capacitance \(C\) and an electric bulb of resistance \(R\) (inductance zero). When \(\omega\) is increased
- A Total impedance of the circuit increase.
- B The bulb glows brighter.
- C The bulb glows dimmer.
- D Total impedance of the circuit is unchanged.
Answer & Solution
Correct Answer
(B) The bulb glows brighter.
Step-by-step Solution
Detailed explanation
Potential difference across bulb,
\(V=I R=\frac{V_0 R}{\sqrt{R^2+\left(\frac{1}{\omega C}\right)^2}}\)
When \(\omega\) is increased, potential across the bulb as well as brightness increases.
\(V=I R=\frac{V_0 R}{\sqrt{R^2+\left(\frac{1}{\omega C}\right)^2}}\)
When \(\omega\) is increased, potential across the bulb as well as brightness increases.
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