Alternating Current Overview

A 750 Hz, 20 V (rms) source is connected to a resistance of 100Ω, an inductance of 0.1803H and a capacitance of 10µF all in series. The time in which the resistance (heat capacity 2 J/°C) will get heated by 10°C. (assume no loss of heat to the surroundings) is close to:

For the given input voltage waveform Vin(t), the output voltage waveform Vo(t), across the capacitor is correctly depicted by:

An AC circuit has R = 100Ω, C = 2µF and L = 80mH, connected in series. The quality factor of the circuit is:

A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant ' $$ $b$ ', the connect equivalence would be:

For the circuit shown, the value of current at time t = 3.2 s will be _____ A.

A 100Ω resistance, a 0.1 µF capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.

A 0.07 H inductor and a 12Ω resistor are connected in series to a 220 V, 50 Hz ac source. The approximate current in the circuit and the phase angle between current and source voltage are respectively. [Take π as 22/7]

Find the peak current and resonant frequency of the following circuit (as shown in figure).

A series LCR circuit is designed to resonate at an angular frequency ${\omega }_0=10^{5}rad/s.$  The circuit draws 16W power from 120 V source at resonance. The value of resistance 'R' in the circuit is………………………….   $\Omega .$

A transmitting station releases waves of wavelength 960m. A capacitor of 2.56 $\mu F$ is used in the resonant circuit. The self inductance of coil necessary for resonance is……………. * 10^-8 H.