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A solenoid of length 40 cm area of cross...

A solenoid of length 40 cm area of cross section 20 `cm^(2)` abd total number of turns 800 is connected to a sources that supplies current changing at the rate of 0.2 `A//s` . What is the emf induced across the solenoid ?

Text Solution

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Here, `l = 40 cm = 0.4 m`,
`A = 20 cm^(2) = 20 xx 10^(-4) m^(2), N = 800`
`d I / dt = 0.2 A//s, e = ?`
`e = L(d I)/(dt) = (mu_(0) N^(2) A)/(l) . (d I)/(dt)`
` = (4 pi xx 10^(-7) xx (800)^(2) xx 20 xx 10^(-4))/(0.4) xx 0.2`
` = 8.03 xx 10^(-4) V`
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