Determine the rms voltage drop across the capacitor in the circuit.
A)55 V
B)77 V
C)110 V
D)154 V
E)198 V

Question

Determine the rms voltage drop across the capacitor in the circuit. 
A)55 V 
B)77 V 
C)110 V 
D)154 V 
E)198 V

Quizplus · Accepted Answer

To find the rms voltage drop across the capacitor, we need to first determine the current flowing through it. We can use Ohm's law to find the current flowing through the resistor: 
I = V/R = 220V/2.2kΩ = 100mA

Since the capacitor and resistor are in series, the same current flows through both components.

Now we can use the formula for the capacitive reactance to find the voltage drop across the capacitor: 
Xc = 1/(2πfC) = 1/(2π*60Hz*0.01μF) ≈ 2652Ω

Vc = I*Xc = 100mA * 2652Ω ≈ 265V

However, this voltage is the peak voltage across the capacitor. To find the rms voltage, we divide by the square root of 2:

Vrms = Vp/√2 ≈ 265V/√2 ≈ 110V

Therefore, the answer is C) 110V.

Determine the Rms Voltage Drop Across the Capacitor in the Circuit