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If the difference between the equivalent inductance in the following figures is $n L$ then find the value of $n$ . Given coupling coefficient is $C = \sqrt{2} (Where coupling coefficient is defined as C = \frac{\sqrt{L_{1} L_{2}}}{M})$

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Important Questions on Electromagnetic Induction and Alternating Currents

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Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

A small circular loop of wire of radius

a

is located at the centre of a much larger circular wire loop of radius

b

. The two loops are in the same plane. The outer loop of radius

b

carries an alternating current

I = I_{0} \cos (ω t) .

The emf induced in the smaller inner loop is nearly:

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

A long solenoid has

1000

turns. When a current of

4 A

flows through it the magnetic flux linked with each turn of the solenoid is

4 \times 10^{- 3} Wb.

The self-inductance of the solenoid is:

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

The primary and the secondary coils of a transformer contains

10

and

100

turns

respectively. The primary coil is connected to a battery that supplies a constant voltage of

1.5 V

. The voltage across the secondary coil is

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

The total number of turns and cross-section area in a solenoid is fixed. However, its length

L

is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Equivalent inductance of two inductors is

2.4 H

when connected in parallel and

10 H

when connected in series, what is the value of inductance of the individual inductors?

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

In a fluorescent lamp choke (a small transformer)

100 V

of reverse voltage is produced when the choke current changes uniformly from

0 .25 A

0

in a duration of

0 .025 ms

. The self-inductance of the choke (in

mH

) is estimated to be ________

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

The self induced emf of a coil is

25

volts. When the current in it is changed at uniform rate from

10 A

25 A

1 s

, the change in the energy of the inductance is:

HARD

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

The inductors of two $L R$ circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistances, mutual-inductance and applied voltages are specified in the given circuit. After both the switches are closed simultaneously, the total work done by the batteries against the induced $E M F$ in the inductors by the time the currents reach their steady-state values is_______ $mJ$ .

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EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Find the equivalent inductance between $A$ and $B$ in the given circuit.

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MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coils as $M$ . The equivalent self inductance of the combination will be

Question Image

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Two coils

' P'

and

' Q'

are separated by some distance. When a current of

3 A

flows through coil

' P^{'},

a magnetic flux of

10^{- 3} W b

passes through

' Q^{'} .

No current is passed through

' Q^{'} .

When no current passes through

' P'

and a current of

2 A

passes through

' Q^{'},

the flux through

' P'

is:

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Consider an electrical circuit containing a two way switch $S .$ Initially $S$ is open and then $T_{1}$ is connected to $T_{2} .$ As the current in $R = 6 Ω$ attains a maximum value of steady-state level, $T_{1}$ is disconnected from $T_{2}$ and immediately connected to $T_{3} .$ Potential drop across $r = 3 Ω$ resistor immediately after $T_{1}$ is connected to $T_{3}$ is $______V .$ (Round off to the Nearest Integer)

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MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

A series

L - R

circuit is connected to a battery of emf

V

. If the circuit is switched on at

t = 0

, then the time at which the energy stored in the inductor reaches

(\frac{1}{n})

times of its maximum value, is :

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

A long solenoid has

500

turns. When a current of

2 A

is passed through it, the resulting magnetic flux linked with each turn of the solenoid is

4 \times 10^{- 3} Wb

, then self-inductance of the solenoid is

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Two concentric circular coils,

C_{1}

and

C_{2}

, are placed in the

X Y

plane.

C_{1}

has

500

turns, and a radius of

1 cm

C_{2}

has 200 turns and radius of

20 cm . C_{2}

carries a time dependent current

I (t) = (5 t^{2} - 2 t + 3) A

where

t

is in s. The emf induced in

C_{1} (in mV)

at the instant

t = 1

s is

\frac{4}{x} .

The value of

x

is ..........

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

In an inductor of self-inductance

L = 2 mH

, current changes with time according to relation

i = t^{2} e^{- 1}

. At what time

e m f

is zero?

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Two inductors $L_{1}$ and $L_{2}$ are connected in parallel and a time varying current flows as shown in figure. The ratio ot current $\frac{i_{1}}{i_{2}}$ at any ime $t$ Is Question Image

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

As per the given figure, if $\frac{d I}{d t} = - 1 A s^{- 1}$ , then the value of $V_{AB}$ at this instant will be ______ $V$ .

Question Image

EASY

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Two inductors

A

and

B

when connected in parallel are equivalent to a single inductor of inductance

1.5 H

, and when connected in series are equivalent to a single inductor of inductance

8 H

. Find the difference in the inductances of

A

and

B

HARD

Physics>Electricity and Magnetism>Electromagnetic Induction and Alternating Currents>Self and Mutual Induction

Suppose a long rectangular loop of width $w$ is moving along the $x$ -direction with its left arm in magnetic field perpendicular to the plane of the loop (see figure). The resistance of the loop is zero and it has an inductance $L .$ At time, $t = 0,$ its left arm passes the origin, $O .$

Question Image

If for $t \geq 0,$ the current in the loop is $I$ and the distance of its left arm from the origin is $x,$ then $I$ versus $x$ graph will be:

If the difference between the equivalent inductance in the following figures is nL then find the value of n. Given coupling coefficient is C=2 (Where coupling coefficient is defined as C=L1L2M)

Important Questions on Electromagnetic Induction and Alternating Currents

Learn and Prepare for any exam you want !

If the difference between the equivalent inductance in the following figures is $n L$ then find the value of $n$ . Given coupling coefficient is $C = \sqrt{2} (Where coupling coefficient is defined as C = \frac{\sqrt{L_{1} L_{2}}}{M})$