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An a.c generator consists of a coil of 1...

An a.c generator consists of a coil of 1000 turns each of area `100 cm^(2)` and rotating at an angular speed of 100 rpm in a uniform magnetic field fo `3.6 xx 10^(2) T.` Find the peak and r.m.s value of e.m.f induced in the coil.

Text Solution

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Here, `N = 1000, A = 100 cm^(2) = 100 xx 10^(-4) m^(2) = 10^(-2) m^(2)`
`v = 100 rpm = (100)/(60) rps, B = 3.6 xx 10^(-2) T, e_(0) = ?, e_(v) = ?`
`e_(0) = NAB (2 pi v) = 1000 xx 10^(-2) xx 3.6 xx 10^(-2) xx 2 xx (22)/(7) xx (5)/(3) = 3.77` volt
`e_(0) = (e_(0))/(sqrt2) = (3.77)/(1.414) = 2.67` volt
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