Two identical solenoids of inductance L each (one is slightly wider than another) are connected; suchthat, one is on top of another (i.e coaxial), and the current in both is in same direction. If the inductance of the combination is $L^{1}$ , then $\frac{L^{1}}{L}$ is

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Solution

The correct option is C 4
$L = μ_{0} n^{2} π r^{2} l$
$L^{1} = μ_{0} (2 n^{2}) π r^{2} l$
$\Rightarrow \frac{L^{1}}{L} = 4$

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Two identical solenoids of inductance L each (one is slightly wider than another) are connected; suchthat, one is on top of another (i.e coaxial), and the current in both is in same direction. If the inductance of the combination is L1, then L1L is

The correct option is C 4L=μ0n2πr2l L1=μ0(2n2)πr2l ⇒L1L=4

Two identical solenoids of inductance L each (one is slightly wider than another) are connected; suchthat, one is on top of another (i.e coaxial), and the current in both is in same direction. If the inductance of the combination is $L^{1}$ , then $\frac{L^{1}}{L}$ is

The correct option is C 4
$L = μ_{0} n^{2} π r^{2} l$
$L^{1} = μ_{0} (2 n^{2}) π r^{2} l$
$\Rightarrow \frac{L^{1}}{L} = 4$