CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Combination of Inductors

A circuit con...

Question

A circuit contains two inductors of self-inductance $L_{1}$ and $L_{2}$ in series as shown in the figure. If $M$ is the mutual inductance, then the effective inductance of the circuit shown will be

A

L_{1} + L_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

L_{1} + L_{2} - M

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

L_{1} + L_{2} + 3 M

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

L_{1} + L_{2} + 2 M

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $L_{1} + L_{2} + 2 M$
if a current $i$ passes through the series combination,
induced emf in $L_{1} = L_{1} \frac{d i}{d t} + M \frac{d i}{d t}$
induced emf in $L_{2} = L_{2} \frac{d i}{d t} + M \frac{d i}{d t}$
total induced emf $= (L_{1} + L_{2} + 2 M) \frac{d i}{d t}$

Suggest Corrections

thumbs-up

1

Similar questions

Q. A circuit contains two inductors of self-inductance

L_{1}

L_{2}

in series (see figure). If

M

is the mutual inductance, then the effective inductance of the circuit shown will be

Q. A circuit contains two inductors of self-inductance

L_{1}

L_{2}

M

is the mutual inductance, then the effective inductance of the circuit shown will be

Q. Given two coupled inductors

L_{1}

L_{2}

, their mutual inductance

M

Q. The self inductance of two coils

P

S

L_{1}

L_{2}

. The coupling between them is ideal. Show that the mutual inductance between these coils is

M = \sqrt{L_{1} L_{2}}

Q. Two inductances

L_{1}

L_{2}

are connected in series and are separated by a large distance:
(i) Show that their equivalent inductance is

L_{1} + L_{2}

.
(ii) Why must their separation be large?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Inductive Circuits

PHYSICS

Watch in App

explore_more_icon

Explore more

Combination of Inductors

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon