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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 inductances is

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a

2 henry

b

3 henry

c

4 henry

d

5 henry

answer is A.

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Detailed Solution

LS=L1+L2=10H .............(i)LP=L1L2L1+L2=2.4H ..........(ii)On solving (i) and (ii) L1L2 = 24 …....... (iii) Also L1−L22=L1+L22−4L1L2⇒L1−L22=(10)2−4×24=4⇒L1−L2=2H

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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 inductances is