1P AC Circuits

A circuit has a resonant frequency of 4,000 rad/sec and bandwidth of 100 rad/sec. If the resistance is 5 ohms, find the values of L and C.

A 99 MHz radio station has a 150 μH inductor. What is the capacitance?

Express the current phasor \(25\angle -30^\circ\) as an instantaneous current.

A series RLC circuit has R = 100 ohms, L = 100 μH and C = 100 pF. What is the frequency in MHz at unity power factor?

An impedance draws a current of \(i = 10\cos(\omega t - 30^\circ)\) A from a supply with voltage \(e = 220\sin\omega t\) V. What is the impedance in ohms?

An impedance of 4 − j3 ohms is connected in parallel with an ideal inductor L across a 110 V, 60 Hz supply. Determine L if the total voltage supplied will be in phase with the total current drawn.

A series RL circuit in which R = 5 Ω and L = 20 mH has an applied voltage \(e = 100 + 50\sin\omega t + 25\sin 3\omega t\), with ω = 500 rad/s. Determine the power dissipated in the resistor of the circuit.

An inductor has a value of 44 mH at 60 Hz. What is the inductive susceptance, stated as an imaginary number?

A 2-element series circuit consumes 700 W and has a p.f. of 0.707 leading. If the applied voltage is \(v = 141\sin(314t + 30^\circ)\), find the circuit constants.

The rms value of sinusoidal ac current is equal to its value at an angle of ______ degrees.

The current in a circuit is given by \(i = 50\sin\omega t\). If the frequency is 25 Hz, how long will it take for the current to rise to 25 A?

An inductor supplied with 100V ac with a frequency of 10kHz passes a current of 10mA. The value of inductor is

What is the power given \(v = 4\sin 3t\) and \(i = 4\sin 3t\)?

An inductance of 20 mH is connected in parallel with a capacitance of 80 μF. What is the frequency when \(X_L = X_C\)?

A coil of 50-ohm resistance and 150 mH inductance is connected in parallel with a 50 μF capacitor. What is the power factor of the circuit?

The apparent power supplied to a load in an ac circuit is 2,000 volt- amperes with a power factor of 0.6 lagging. The reactive power is most nearly:

A 200 μH coil has a Q of 250 at a resonance frequency of 800 kHz. What is the effective resistance of the coil?

A 50 Ω resistance is connected in series with a coil having 25 Ω resistance and 150 mH inductance. The circuit is connected to a voltage source of \(200\sin\omega t\). Calculate the instantaneous current.

A coil having a resistance of 3 Ω and an inductance of 0.01 H is connected in series with a capacitor across a voltage source of 220 volts. What must be the capacitance of the capacitor in order that maximum current occurs at 60 Hz?

Three impedances \(Z_1 = 2.2 + j2.2\), \(Z_2 = 10 + j10\) and \(Z_3 = -j5\) are connected in series. The voltage across \(Z_1\) is \(26.59 - j4.69\) V. What is the total voltage?