Home
Class 12
PHYSICS
The equivalent inductance of two inducta...

The equivalent inductance of two inductances is `2.4` henry when connected in parallel and `10` henry when connected in series. The difference between the two inductance is

A

2 henry

B

3 henry

C

4 henry

D

5 henry

Text Solution

Verified by Experts

The correct Answer is:
A
`L_(eq_("series"))=L_(1)+L_(2)=10`
`L_(eq_("parallel"))=(L_(1)L_(2))/(L_(1)+L_(2))=2.4rArrL_(1)L_(2)=24`
Now, `(L_(1)-L_(2))^(2)+4L_(1)L_(2)=(L_(1)+L_(2))^(2)`
`rArr(L_(1)-L_(2))^(2)=100-96=4rArrL_(1)-L_(2)=2H`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The equivalent inductance of two inductors is 2.4 H when connected in parallel and 10 H when connected inductors ?

The equivalent inductance between A and B is

Two inductors each of inductance L are connected in parallel. One more inductor of value 5 mH is connected in series of this configuration then the effective inductance is 15 mH . The value of L is ………..mH.

Two inductances connected in parallel are equivalent to a single inductance of 1.5H and when connected in series are equivalent to a single inductance of 0.8 H. The difference in their inductance is

Define mutual inductance of 1 Henry.

Find inductive reactance of the inductor when it is connected in D.C. circuit.

Three identical condensers are connected together in four different ways. First all of them are connected in series and the equivalent capacity is C_(1) . Next all of them are connected in parallel and the equivalent capacity is C_(2) . Next two of them are connected in series and the third one connected in parallel to the combination and the equivalent capacity is C_(3) . Next two of them are connected in parallel and the third one connected in series with the combination and the equivalent capacity is C_(4) . Which of the following is correct ascending order of yhe equivalent capacities ?

A coil of resistance 200 ohms and self inductance 1.0 henry has been connected in series to an a.c. source of frequency 200/pi Hz . The phase difference between voltage and current is

Two pure inductors each of self inductance L are connected in series, the net inductance is