The figure shows a series ac circuit. The inductor has a reactance of $80 \Omega$ and an inductance of 220 $\mathrm { mH }$. A $30 - \Omega$ resistor and a capacitor whose reactance is $80 \Omega$ are also in the circuit, and the rms current in the circuit is $2.0 \mathrm {~A}$. What is the capacitance of the capacitor?

A) $37 \mu \mathrm { F }$
B) $30 \mu \mathrm { F }$
C) $34 \mu \mathrm { F }$
D) $32 \mu \mathrm { F }$
E) $27 \mu \mathrm { F }$

Question

The figure shows a series ac circuit. The inductor has a reactance of $80 \Omega$ and an inductance of 220 $\mathrm { mH }$. A $30 - \Omega$ resistor and a capacitor whose reactance is $80 \Omega$ are also in the circuit, and the rms current in the circuit is $2.0 \mathrm {~A}$. What is the capacitance of the capacitor?

A) $37 \mu \mathrm { F }$ 
B) $30 \mu \mathrm { F }$ 
C) $34 \mu \mathrm { F }$ 
D) $32 \mu \mathrm { F }$ 
E) $27 \mu \mathrm { F }$

Quizplus · Accepted Answer

The Answer of The figure shows a series ac circuit. The inductor has a reactance of $80 \Omega$ and an inductance of 220 $\mathrm { mH }$. A $30 - \Omega$ resistor and a capacitor whose reactance is $80 \Omega$ are also in the circuit, and the rms current in the circuit is $2.0 \mathrm {~A}$. What is the capacitance of the capacitor?

A) $37 \mu \mathrm { F }$ 
B) $30 \mu \mathrm { F }$ 
C) $34 \mu \mathrm { F }$ 
D) $32 \mu \mathrm { F }$ 
E) $27 \mu \mathrm { F }$

The Figure Shows a Series Ac Circuit 80Ω80 \Omega80Ω And an Inductance of 220

The Figure Shows a Series Ac Circuit $80 \Omega$ And an Inductance of 220