AC Circuits

In the given circuit, $L = 1 \mu H$ and $C = 1 \mu F$. The phasor diagram for $I_C$ and $I_L$ is also shown. Assume that the phase $(\theta_1 + \theta_2)$ is $90^\circ$ at a freque...

Let $i_C$, $i_L$, and $i_R$ be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens...

In the circuit below, M₁ is an ideal AC voltmeter and M₂ is an ideal AC ammeter. The source voltage (in Volts) is v_s(t) = 100 cos(200t). What should be the value of the variable c...

In the circuit shown, if v(t) = 2 sin(1000 t) volts, R = 1 kΩ and C = 1 µF, then the steady-state current i(t), in milliamperes (mA), is

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of c...

Two magnetically uncoupled inductive coils have Q factors q 1 and q 2 at the chosen operating frequency. Their respective resistances are R 1 and R 2 . When connected in series, th...

A source v s (t) = V cos 100 $$\pi$$t has an internal impedance of (4 + j3) $$\Omega$$. If a purely resistive load connected to this source has to extract the maximum power out of...

The average power delivered to an impedance $(4-j 3) \Omega$ by a current $5 \cos (100 \pi t+100) A$ is

An independent voltage source in series with an impedance Z s =R s +jX s delivers a maximum average power to a load impedance Z L when

In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is

A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H inductance. The load that will obtain maximum power transfer is

A coil with a quality factor $$(Q)$$ of $$10$$ is put in series with a capacitor $${C_1}$$ of $$10\,\,\mu F,$$ and the combination is found to draw maximum current when a sinusoida...

A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of impedance $${\mathrm R}_\mathrm L\;+\;{\mathrm{jX}}_\mathrm...

A generator of internal impedance, Z G , delivers maximum power to a load impedance, Z L , only if Z L = ................

A series LCR circuit consisting of $$R = 10\Omega $$, $$\left| {{X_L}} \right|\,\,\, = 20\Omega $$ and $$\left| {{X_C}} \right|\,\,\, = 20\Omega $$, is connected across an a.c. sup...