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Phasor diagram of a series {AC} circuit is shown in figure. Th

Question

Easy

Solving time: 2 mins

Phasor diagram of a series $AC$ circuit is shown in figure. Then,

The circuit must be containing resistor and capacitor only

The circuit must be containing resistor and inductor only

The circuit must be containing all three elements

L, C

and

R

The circuit cannot have only capacitor and inductor

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Book:

Electricity and Magnetism (DC Pandey)

Text solutionVerified

In case of only capacitor and inductor phase difference between current and voltage should be

9 0^{\circ}

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Practice questions from Electricity and Magnetism (DC Pandey)

Question 1

Medium

In the circuit shown in figure, match the following two columns. In columns II, quantities are given in SI units.

Column I (a) Value of resistance R (b) Potential difference across capacitor (c) Potential difference across inductor (d) Applied potential difference Column II (p) 60 (q) 20 (r) 30 (s) None of the above

Topic:

Alternating Current

Book:

Electricity and Magnetism (DC Pandey)

View solution

Question 2

Easy

In the circuit shown in figure, the power consumed is

zero
$\frac{V _{0}^{2}}{2 R}$
$\frac{V _{0}^{2} R}{2 ( R ^{2} + ω ^{2} L ^{2} )}$
None of these

Topic:

Alternating Current

Book:

Electricity and Magnetism (DC Pandey)

View solution

Question 3

Hard

In the circuit shown,

L = 1 μ H, C = 1 μ F

and

R = 1 k Ω

. They are connected in series with an

AC

source

V = V_{0} sin ω t

as shown. Which of the following options is/are
correct?

At $ω \sim 0$ the current flowing through the circuit becomes nearly zero
The frequency at which the current will be in phase with the voltage is independent of $R$
The current will be in phase with the voltage if $ω = 1 0^{4}$ rads $^{- 1}$ capacitor
At $ω ≫ 1 0^{6}$ rads $^{- 1}$ , the circuit behaves like a capacitor

Topic:

Alternating Current

Book:

Electricity and Magnetism (DC Pandey)

View 4 solutions

Question 4

Medium

In the circuit shown in figure, the reading of the AC ammeter is

$202 m A$
$402 m A$
$20 m A$
$40 m A$

Topic:

Alternating Current

Book:

Electricity and Magnetism (DC Pandey)

View 5 solutions

Practice more questions from Alternating Current

Question 1

Hard

In a

R \cdot L \cdot C

series circuit shown, the readings of voltmeters

V_{1}

and

V_{2}

are

100 V

and

120 V

. Choose the correct statement(s).

Voltage across resistor, inductor and capacitor are $50 V, 86.6 V$ and $206.6 V$ respectively
Voltage across resistor, inductor and capacitor are $10 V, 90 V$ and $30 V$ respectively
Power factor of the circuit is $\frac{5}{13}$
Circuit is capacitive in nature

Topic:

Alternating Current

Book:

Electricity and Magnetism (DC Pandey)

View solution

Question 2

Medium

An AC voltage source of variable angular frequency

ω

and fixed amplitude

V_{0}

is connected in series with a capacitance

C

and an electric bulb of resistance

R

(inductance zero). When

ω

is increased

The bulb glows dimmer
The bulb glows brighter
Total impedance of the circuit is unchanged
Total impedance of the circuit increases

Topic:

Alternating Current

View solution

Question 3

Medium

How does the sign of the phase angle

ϕ

, by which the supply voltage leads the current in an

L - C - R

series circuit, change as the supply frequency is gradually increased from very low to very high values.

Topic:

Alternating Current

Book:

Physics Exemplar (NCERT Exemplar)

View solution

Question 4

Easy

A

and

B

are identical bulbs, which bulb glows brighter

-

-

$A$
$B$
Both equally bright
Cannot say

Topic:

Alternating Current

View solution

Practice questions on similar concepts asked by Filo students

Question 1

To find out degree of freedom, the expression is

$f = \frac{2}{γ - 1}$
$f = \frac{γ + 1}{2}$
$f = \frac{2}{γ + 1}$
$f = \frac{1}{γ + 1}$

Topic:

Kinematics and Laws of Motion

View solution

Question 2

A light spring of constant k=140.0 N/m is attached vertically to a table as shown in the Figure. A 120.0 g balloon having a volume of 5.0 m^3 is filled with helium (density=0.180 kg/m^3) and then connected to the spring, causing it to stretch a distance L when the balloon is in equilibrium, as shown in the Figure. The stretching distance L of the spring is Hint: Ï=1.29 kg/m^3.

Topic:

Physics

View solution

Question 3

The distance between the open end of the p and the position of antinode is called the cod correction. According to Reynold, to the first [ opproximation, the end correction at an end given by e-03d, where is the inner diameter of the pipe. Thus the length L of air column is different from the length / of the pipe For a pipe closed at one end o The corrected length of air column 2-length of air column in pipe /+ end correction at the open end. ---(6.13) L-1+e For a pipe open at both ends The corrected length of air column /. - length of air column in pipe / end corrections at both the ends L-1+2e -(6.14) 6.7.2 Vibrations of air column in a pipe closed at one end: Consider a long cylindrical tube closed at one end. It consists of an air column with rigid boundary at one end. When a vibrating tuning fork is held near the open end of the closed pipe, sound waves are sent by the fork inside the tube. Longitudinal waves traveling along a pipe of finite length are reflected at the ends as transverse waves are refelcted at the fixed ends of a string. The phase of the reflected wave depends on whether the end of the pipe is open or closed and how wide or narrow the compansion to the wavelength of pipe is longitudinal wave like a sound wave, -W4 This is the simplest mode of vibration of air column closed of one end, known as the fundamental mode. Length of air column and A-4L At the closed end there is least freedom for motion of air particles. Thus, there must be a node at the closed end/ The particles little beyond the open end are most free to vibrate. As a result, an antinode must be formed little beyond the open end. The length / of pipe and length L of air column are shown separately in all the figures (refer Figs. 6.9 and 6.10). Fig. 6.9 (all Net-up f generating of air vibratio in column pipe closed at one the The distance of the antinode from the sp end of the pipe h Hot been exaggerated, where is the wavelength of fundamental mode of vibrations in air column. If n is the frequency, we have fundamen ---(6.15) ---(6.16) 4L 4(1+0) The fundamental frequency is also known as the first harmonic. It is the lowest frequency of vibration in air column in a pipe closed at one end. The next mode of vibrations of air column closed at one end is as shown in Fig. 6.9 (b). made to vibrate in such Here the air column i a way (as shown in Fig. 6.9 (b)) that it contains a node at the closed end, an antinode at the open end with one more node and antinode in between. If n, is the frequency and λ, is the wavelength of wave in this mode of vibrations in air column, we have, the length of the air L= column 3 AL 4(l+e) ---(6.17) indy - The velocity in the second mode is given as v=nA The first mode of vibrations of air column closed at one end is as shown in Fig. 6.9 (a). 3V 3V 4L 4(1+e) n₁=3n ---(6.18) This frequency is the third harmonic. It is the first overtone. Remember that the overtones are always numbered sequentially. 142 L-32/4 (b) Fig. 6.9 (b) and (c for vibrations of of one end. The the open end of The next hi column closed 6.9 (c). Here: vibrate in suc at the closed with two mon If n, is the f of the wave column, we Length of 42 my The velo- the se over har ab 6.

Topic:

Waves and SHM

View solution

Question 4

The angle between two forces is :-

$15 0^{\circ}$
$9 0^{\circ}$
$6 0^{\circ}$
$12 0^{\circ}$

Topic:

Thermodynamics

View 2 solutions

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Question Text	Phasor diagram of a series $AC$ circuit is shown in figure. Then,
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	92