Question
Question: The equivalent inductance of two inductors is 2.4 H when connected in parallel and 10 H when connect...
The 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 inductances of the individual inductors?
A
8 H, 2 H
B
6 H, 4 H
C
5 H, 5 H
D
7 H, 3 H
Answer
6 H, 4 H
Explanation
Solution
In series connection
L1+L2=10H….. (i)
And parallel connection
( L1+L2)L1 L2=2.4H… (ii)
Substituting the value of (L1+L2) from (i) into
(ii), we get
L1 L2=(2.4)(L1+L2)=2.4×10=24
…… (iii)
Solving (i) and (iii), we get
L1=6H,L2=4H