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GUJCET · Physics · Electromagnetic Induction
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 .
- A 10
- B 5.0
- C 2.5
- D 20
Answer & Solution
Correct Answer
(D) 20
Step-by-step Solution
Detailed explanation
D
\(\begin{aligned} L_{e q} & =\left(\frac{L \times L}{L+L}\right)+5 \\ 15 & =\frac{L}{2}+5 \\ \frac{L}{2} & =10 \\ L & =20 mH \end{aligned}\)
\(\begin{aligned} L_{e q} & =\left(\frac{L \times L}{L+L}\right)+5 \\ 15 & =\frac{L}{2}+5 \\ \frac{L}{2} & =10 \\ L & =20 mH \end{aligned}\)
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