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A long solenoid of diameter 0.1 m has 2 ...

A long solenoid of diameter 0.1 m has `2 xx 10^(4)` turns per meter. At centre of the solenoid is 100 turns coil of radius 0.01 m placed with its axis coinciding with solenoid axis. The current in the solenoid reduce at a constant rate to 0A from 4 a in 0.05 s . If the resistance of the coil is `10 pi^(2) Omega`, the total charge flowing through the coil during this time is

A

`32pimuc`

B

`16muC`

C

`32muC`

D

`16pimuC`

Text Solution

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The correct Answer is:
C
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A long solenoid of diameter 0.1 m has 2xx 10^(4) turns per metre. At the centre of the solenoid, a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4A in 0.05 .If the resistance of the coil is 10 pi^(2) ohm , the total charge (in mu C ) flowing through the coil during this time is

A long solenoid of diameter 0.1 m has 2 xx 10^(4) turns per meter. At centre of the solenoid is 100 turns coil of radius 0.01 m placed with its axis coinciding with solenoid axis. The current in the solenoid is decreased at a constant rate form + 2 A to - 2 A in 0.05 s. Find the e.m.f. induced in the coil. Also, find the total charge flowing through the coil during this time, when the resistance of the coil is 10 pi^(2) ohm .

Knowledge Check

  • A long solenoid of diameter 0.1 m has 2 xx 10^4 turns per metre. At the centre of solenoid, a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is 10 pi^2 Omega , the total charge flowing through the coil during this time is:

    A
    `16 mu C`
    B
    `32 mu C`
    C
    `15 pi mu C`
    D
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  • A 0.100 m long solenoid has a radius of 0.050 m and 1.50 xx 10^(4) turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200 m is placed at the center of the solenoid with its axis the same as that of the solenoid as shown. Determine the induced emf in the loop.

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