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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

Verified by Experts

The correct Answer is:
C
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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 .

A long solenoid of diameter 0.1 m has 2 xx 10^(4) turns per metre. At the centre of the solenoid, a 100- turns coil of radius 0.01 m is placed with its axis coinciding with the constant rate from + 2 A to 2 A in 0.05 s . Find the total charge (in mu C ) flowing through the coil during this time when the resistance of the coil is 40 !=^(2) Omega .

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A current l = 1.5 A is flowing through a long solenoid of diameter 3.2 cm, having 220 turns per cm. At its centre, a 130 turn closely packed coil of diameter 2.1 cm is placed such that the coil is coaxial with the long solenoid. The current in the solenoid is reduced to zero at a steady rate in 25 ms. What is the magnitude of emf induced in the coil while the current in the solenoid is changing?

Through a long solenoid of diameter 4.1 cm, having 100 turns per cm, a current I = 1A is flowing. At its centre, a 60 turns closely packed coil of diameter 3.1 cm si placed such that the coil is coaxial with the long solenoid. The current in the solenoid is reduced to zero at a steady rate in 10 ms. What is the magnitude of emf induced in the coil while the current in the solenoid is changing?

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.

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
    `32 pi mu C`

  • 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.

    A
    `0.7xx10^(-3)` V
    B
    `2.8xx10^(-3)` V
    C
    `1.4xx10^(-3)` V
    D
    `5.6xx10^(-3)` V
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