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#### SIMILAR QUESTIONS

A series *L*-*C*-*R* circuit having *L* = 1.5 H, is connected to a 200-V a.c. supply of variable frequency. When the supply frequency equals the natural frequency of the circuit, find the average power transferred to the circuit in one full cycle.

An inductor L, a capacitor of and the resistor of are connected in series with an a.c. source of frequency 50 Hz. If the current is in phase with the voltage, calculate the inductance of the inductor.

A capacitor, a resistor and a 80-mH inductor are in series with a 50-Hz a.c source. Calculate the capacitance if the current is in phase with the voltage.

A series *L*-*C* circuit has *L* = 0.405 H and . The resistance *R* is zero. Find the frequency of resonance.

In a series *L*-*C*-*R* circuit connected to a variable frequency 220-V source; we have : L = 4.0 H, . Calculate the resonant frequency of the circuit.

A variable-frequency 230-V alternating voltage source is connected across a series combination of *L* = 5.0 H, and . Calculate the angular frequency of the source which drives the circuit in resonance.

A series *LCR* circuit with *L* = 0.12 H, *C* = 480 *nF* and is connected to a 230-V variable-frequency supply. What is the source frequency for which current a amplitude is maximum? Find this maximum value.

An *L C R* circuit has *L* = 10 mH, connected in series to a source of volt. Calculate the current-amplitude and the average power dissipated per cycle at a frequency 10% lower than the resonant frequency.

A 750-Hz, 20-V source is connected to a resistance of , an inductance of 0.1803 H and a capacitance of , all in series. Calculate the time in which the resistance (thermal capacity = 2 J^{o}C^{–1}) will get heated by 10^{o}C.

A virtual current of 4 A flows in a coil when it is connected in a circuit having a.c. of frequency 50 Hz. The power consumed in the coil is 240 W. Calculate the inductance of the coil if the virtual p.d. across it is 100 V.