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Impedance Triangle

An electric l...

Question

An electric lamp, having coil of negligible inductance connected in series with a capacitor and $a c$ source, is glowing with certain brightness. How does the brightness of lamp change on reducing the capacitance?

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Solution

Impedance of the circuit $Z = \sqrt{R^{2} + \frac{1}{w^{2} C^{2}}}$
On decreasing the capacitance, $Z$ increases.
This will decrease the current in the circuit and so, the brightness of the lamp decreases.

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