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A solenoid of length

`45cm`

has 260 turns of radius

`2.2cm`

. An outer coil with 8 turns of radius

`4cm`

is placed around the solenoid. The axes of the coil and solenoid coincide. Find the emf induced in the coil if the current in the solenoid varies according to

`I=5.2sin(50\pi t)A`

.

`cos(50\pi t)mV`