AC Voltage Applied to a Resistor

IMPORTANT

AC Voltage Applied to a Resistor: Overview

This topic consists of various concepts like Average Value of a Function,AC Circuit,RMS Value of Alternating Current, etc.

Important Questions on AC Voltage Applied to a Resistor

EASY
IMPORTANT

A 15.0 μF  capacitor is connected to 220 V, 50 Hz source. The capacitive reactance and the RMS current would be:

EASY
IMPORTANT

The instantaneous current and voltage of an AC circuit are given by i=10sin314t A and V=100sin314t V. The power dissipation in the circuit is

HARD
IMPORTANT

A resistor of   200 Ω  and a capacitor of 15.0 μF  are connected in series to a 220 V, 50 Hz a.c. source. Calculate

​(i) The current in the circuit.

(ii) The rms voltage across the resistor and the capacitor.

MEDIUM
IMPORTANT

The instantaneous current and voltage of an a.c. circuit are given by I=10sin300t A and V=200sin300t V. What is the power dissipation in the circuit?

EASY
IMPORTANT

A standard filament lamp consumes 100 W when connected to 200 V ac mains supply. Calculate the peak current through the bulb.

EASY
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The given I-t graph comprises of semi elliptical curves in every T time interval. The average value of current between 0 to T2Question Image

 

 

EASY
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In the given AC circuit, find maximum current through the capacitor

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Write the rms value of potential difference V from the given figure

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EASY
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The RMS value of the time varying current i= I0e-t from 0 to 1 s is

EASY
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Find the rms and average value of I=10+ 5cos(314t)

HARD
IMPORTANT

A modulating signal 2 sin (6.28 × 106) t is added to the carrier signal
4 sin(12.56 × 109) t for amplitude modulation. The combined signal is passed through a non-linear square law device. The output is then passed through a band pass filter. The bandwidth of the output signal of band pass filter will be MHz.

MEDIUM
IMPORTANT

If I = 2t, then the R.M.S. value of current from 0 to  2 seconds is
 

HARD
IMPORTANT

In an AC circuit, the current I is given by the equation i=2 13 sin(50π t ) A. Calculate the time taken to reach from zero to first maximum value.

MEDIUM
IMPORTANT

Calculate the RMS value of the emf for a cycle, whose time variation is shown in figure.

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EASY
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The variation of the instantaneous current I and the instantaneous emf E in a circuit are shown in the figure. Which of the following statements is correct?

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EASY
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An alternating current is given by i=i1sinωt+i2cosωt. The RMS current is given by

EASY
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An AC current is given by the expression, It=50sin200πt in amperes. The frequency and RMS value of the current respectively are

EASY
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The INCORRECT statement is.

HARD
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A circuit shown consists of three resistors, one capacitor, 2 ideal AC voltmeters and an alternating voltage source of angular frequency ω. Take RωC=1. If the reading of V1 is V, then the reading of V2 is

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EASY
IMPORTANT

A resistance of 40Ω is connected to a source of alternating current rated 220 V,50 Hz. Find the time taken by the current to change from its maximum value to the rms value