The equivalent inductance of two inductor is 2.4 Hwhen connected in pa

1.	The equivalent inductance of two inductor is 2.4 Hwhen connected in parallel and 10 H whenconnecied in series. The difference between twoinductance is (Neglecting mutual induction betweencoils)
Answer» Dear Student, ◆ Answer - Difference between INDIVIDUAL INDUCTANCES = 2 H ● Explanation - LET L1 and L2 be two individual inductors. In series COMBINATION, Ls = L1 + L2 L1 + L2 = 10 In parallel combination, 1/Lp = 1/L1 + 1/L2 1/2.4 = (L1 + L2) / (L1.L2) 1/2.4 = 10 / L1.L2 L1.L2 = 24 As we know, (L1-L2)^2 = (L1+L2)^2 - 4L1.L2 (L1-L2)^2 = 10^2 - 4×24 (L1-L2)^2 =100 - 96 (L1-L2)^2 = 4 L1-L2 = 2 Therefore, difference between two inductors MUST be 2 H. Thanks dear...

The equivalent inductance of two inductor is 2.4 Hwhen connected in parallel and 10 H whenconnecied in series. The difference between twoinductance is (Neglecting mutual induction betweencoils)

Answer»

Dear Student,

◆ Answer -

Difference between INDIVIDUAL INDUCTANCES = 2 H

● Explanation -

LET L1 and L2 be two individual inductors.

In series COMBINATION,

Ls = L1 + L2

L1 + L2 = 10

In parallel combination,

1/Lp = 1/L1 + 1/L2

1/2.4 = (L1 + L2) / (L1.L2)

1/2.4 = 10 / L1.L2

L1.L2 = 24

As we know,

(L1-L2)^2 = (L1+L2)^2 - 4L1.L2

(L1-L2)^2 = 10^2 - 4×24

(L1-L2)^2 =100 - 96

(L1-L2)^2 = 4

L1-L2 = 2

Therefore, difference between two inductors MUST be 2 H.

Thanks dear...

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The equivalent inductance of two inductor is 2.4 Hwhen connected in parallel and 10 H whenconnecied in series. The difference between twoinductance is (Neglecting mutual induction betweencoils)

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