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Consider a coil (of area A, resistance ...

Consider a coil (of area A, resistance R and number of turns N) held perpendicular to a uniform magnetic field of strength B. The coil is now turned through `180^(@)` in time `Deltat`. What is
(i) Average induced emf
(ii) Average induced current
(iii) Total charge that flows through a given cross-section of the coil?

Text Solution

Verified by Experts

When plane of coil is perpendicular to the magnetic field, `theta = 0^(@)` and after it is rotated through 180°, `theta = 180^(@)`
`implies "Initial flux" = NBA COS0^(@)=NBA` and `"Final flux" = NBA Cos 180^(@) = -NBA`
`"Change in flux" = | Delta phi| = NBA- (-NBA) = 2NBA`
(i) `e = "Average induced emf" = (|Delta phi |)/( Delta t)= (2NBA)/(Delta t)`
`"Average current" = (epsilon)/(R)= (2NBA)/(R Delta t)`
`" Average current" = (Delta Q)/ (Delta t)= (2NBA)/(R Delta t) implies Delta Q= (2NBA)/(R)`
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