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A circular coil of radius 10cm and 25 tu...

A circular coil of radius `10cm` and `25` turns is rotated about its vertical diameter with an angular speed of `40rads^(-1)`, in a uniform horizontal magnetic field of magnitude `5xx10^(-2)T`. Calculate the maximum emf induced in the coil. Also find the maximum current in the coil if the resistance of the coil is `15Omega`.

Text Solution

Verified by Experts

Emf induced in the coil =`epsilon=nAB omegasin (omegat)=epsilon_0 sin omegat`
Area = `pir^2`
`epsilon=(25xx3.14xx10xx10^(-2)xx10xx10^(-2)xx5xx10^(-2)xx40)sin (40t)`
`epsilon` = 1.57 sin 40 t
`epsilon_0`=1.57 Volt
`I=epsilon/R =(1.57(sin 40t)V)/15, I_(max)=epsilon_0/R= (1.57V)/(15Omega)` = 0.1047 A = 0.11 A
Current `I_(inst)`=0.1047 sin 40t A
`I_(max)`=0.11 A
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