1P AC Circuits

A coil has a 50 ohms resistance and a 70 ohms reactance. A capacitor is connected in parallel to produce resonance. The source voltage is 120 V. What is the power drawn by the circuit?

Impedance \(Z_1 = 10 + j15\) ohms and another impedance \(Z_2 = 6 - j8\) ohms are connected in parallel across a 60 Hz source. Find the total power in watts if the total current is 15 A.

The rms value of the complex voltage given by \(v = 16\sqrt{2}\sin \omega t + 12\sqrt{2}\sin 3\omega t\) is

A coil draws 1,875 watts when connected to a 150 V DC source. It consumes 3,072 watts when connected on 240 V, 60 Hz AC source. Find the inductance of the coil.

What capacitance must be placed in series with an inductance of 0.05 H so that at 100 Hz, the impedance becomes equal to the ohmic resistance?

Find the average power in a resistance R = 10 ohms if the current in Fourier series form is \(i = 12\sin\omega t + 8\sin 3\omega t + 3\sin 5\omega t\) amperes.

An impedance draws a current \(i = 10\cos(\omega t - 30^\circ)\) from a voltage \(v = 220\sin\omega t\). What is the maximum power?

A current is given by the expression \(i = 2.5\sin\omega t + 0.8\sin 3\omega t + 0.5\sin 5\omega t\). What is the rms value of the current?

An inductor in series with a 5 μF capacitor is connected to a supply of 20 V, 796 Hz. What is the inductance needed to make the current 5 A leading?

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.

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 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.

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.

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?

A coil with 40 ohm resistance and 0.02 H inductance and a pure capacitor are connected in parallel across a 60 Hz supply. Find the value of the capacitor in uF if the circuit is resonant.

Three sinusoidal generators and a battery are connected in series with a coil whose resistance and inductance are 8 Ω and 26.53 mH, respectively. The frequency and rms voltage of the respective generators are 20 Hz, 15 V; 60 Hz, 30 V; and 80 Hz, 50 V. The battery voltage is 6 V. Determine the circuit rms voltage.

A 40 ohm resistor and a pure capacitor are connected in parallel across a 230 V, 60 Hz ac supply. The total current taken from the supply is 8 A. Find the capacitance of the capacitor in μF.

A series RLC circuit consists of 20 ohms resistance, 0.2 H inductance and an unknown capacitance. Find the capacitance if the circuit has a leading angle of 45° at 60 Hz.