An A C voltage source of variable angular frequency ω and fixed amplitude V0 is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When ω is increased

Question

An A C voltage source of variable angular frequency ω and fixed amplitude V0 is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When ω is increased (A) the bulb glows dimmer (B) the bulb glows brighter (C) total impedance of the circuit is unchanged (D) total impedance of the circuit increases

Tardigrade Admin · Accepted Answer

Impedance Z=√(1/(ω C)2)+R2 as ω increases, Z decreases. Hence bulb will glow brighter

Q. An $A C$ voltage source of variable angular frequency $ω$ and fixed amplitude $V_{0}$ is connected in series with a capacitance $C$ and an electric bulb of resistance $R$ (inductance zero). When $ω$ is increased

the bulb glows dimmer

the bulb glows brighter

total impedance of the circuit is unchanged

total impedance of the circuit increases

Impedance $Z = \frac{1}{( ω C ) ^{2}} + R^{2}$
as $ω$ increases, $Z$ decreases.
Hence bulb will glow brighter

Q. An AC voltage source of variable angular frequency ω and fixed amplitude V0​ is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When ω is increased