Question

A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =V_a - V_b = ε_msinωt, where ε_m = 120 V and ω = 651 radians/second. The values for the remaining circuit components are: R = 97 Ω, L = 114.8 mH, and C = 11.9μF.

3)

What is φ, the phase angle between the generator voltage and the current in this circuit. The phase φ is defined to be positive if the current leads the generator voltage, and negative otherwise.

degrees

Your submissions:

• 29.26

Computed value:

29.26

Submitted:

Sunday, April 19 at 10:13 PM

Feedback:

Your answer has been judged correct; the exact answer is: 29.2619308243519.

4)

What is t₁, the first time after t = 0 when the voltage across the inductor is zero?

seconds

5)

Which of the following statements is true?

The voltage across the generator is zero when the magnitudes of the voltages across the inductor and the capacitor are maximum.

The current in the circuit is zero when the magnitudes of the voltages across the inductor and the capacitor are maximum.

The magnitude of the voltage across the generator is maximum when the magnitudes of the voltages across the inductor and the capacitor are maximum.

The magnitude of the current in the circuit is maximum when the magnitudes of the voltages across the inductor and the capacitor are maximum.

There is no time when the magnitudes of the voltages across the inductor and capacitor are maximum.

6)

What is V_C = V_d - V_a, the voltage across the capacitor, at time t = 0? Note that V_C is a signed number.

V

For #4, can you give me a logical explanation on why the phase angle is positive, why not negative?

Answer 1

Inductive reactance

Capacitive reactance

Impedance

current

Phase angle is given by

4)

Voltage across inductor is maximum when current is maximum i,e

in rad

5)

The magnitude of the current in the circuit is maximum when the magnitudes of the voltages across the inductor and the capacitor are maximum.

6)

at t=0