EASY
Earn 100

Draw the phasor diagram of a purely capacitive circuit.

Important Questions on Alternating Current

MEDIUM
An alternating voltage V=V0 sin ωt is connected to a capacitor of capacity C through an A.C. ammeter of zero resistance. The reading of ammeter is
EASY

In a circuit consisting of a capacitance and a generator with alternating emf, Eg=Egosinωt, VC and IC are the voltage and current. Correct phasor diagram for such circuit is

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HARD

In the given circuit the AC source has ω=100 rad s-1. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit?

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EASY
A bird sitting on a single high tension wire does not get electrocuted because
MEDIUM
For the LCR circuit, shown here, the current is observed to lead the applied voltage. An additional capacitor C , when joined with the capacitor C present in the circuit, makes the power factor of the circuit unity. The capacitor C , must have been connected in:
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EASY

A capacitor of capacitance 0.5 μF is connected to a source of alternating e.m.f. of frequency 100 Hz. What is the capacitive reactance? (π= 3.142)

MEDIUM
What is the value of peak current in a circuit, if a 2mF capacitor is connected to a 110 V,60 Hz source?
MEDIUM

A light bulb and an open coil inductor are connected to an ac source through a key as shown in figure. The switch is closed and after sometime, an iron rod is inserted into the interior of the inductor. What will be effect on glow of light bulb while inserting the rod. Give your answer with reason.

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EASY
A sinusoidal voltage with a frequency of 50 Hz is applied to a series LCR circuit with a resistance of 5 Ω, inductance of 20 mH and a capacitance of 500 μF. The magnitude of impedance of the circuit is close to
EASY
An alternating voltage V=2002sin(100t) V is connected to a 1 μF capacitor through an AC ammeter. The reading of the ammeter is
EASY
What is the capacitive reactance for a direct current? 
MEDIUM
A circuit connected to an ac source of emf e=e0sin100t with t in seconds, gives a phase difference of π4 between the emf  e and current i . Which of the following circuits will exhibit this?
MEDIUM
Find the root mean square value of current through a capacitor of capacitance 10 μF, when connected to an a.c. source of 110 volts at 50 cycles/sec supply. What is its reactance?
EASY
An alternating emf of 220 V is applied to a circuit containing a resistor R having resistance of 160  and a capacitor C in series. The current is found to lead the supply voltage by an angle θ= tan-1(3/4).Calculate the capacitive reactance.
MEDIUM
A 60 μF capacitor is connected to a 110 V, 60 Hz a.c. supply. Determine the root-mean-square value of the current in the circuit.
HARD
Derive the expression for capacitance of a parallel plate capacitor. If a dielectric medium is placed in between the plates. How is its capacitance affected?
EASY
Find the reactance of a capacitor having a capacitance 0.5μF at 100 Hz.
EASY
A capacitor C is connected across a D.C. source, the reactance of capacitor will be _____
EASY

A parallel combination of pure inductor and capacitor is connected across a source of alternating EMF e. The currents flowing through an inductor and capacitor are iL and iC respectively. In this parallel resonant circuit, the condition for currents i ,iL and iC is (i=net RMS current in the circuit)

HARD
At time t=0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current It=I0cosωt , with I0=1 A and ω=500 rad s-1 starts flowing in it with the initial direction shown in the figure. At t=7π6ω, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C=20 μF, R=10 Ω and the battery is ideal with of 50 V, identify the correct statement(s).
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