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Through a long solenoid of diameter 4.1 ...

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?

Text Solution

AI Generated Solution

To solve the problem, we need to determine the induced electromotive force (emf) in the coil placed inside the solenoid as the current in the solenoid decreases to zero. Here’s a step-by-step solution: ### Step 1: Calculate the magnetic field inside the solenoid The magnetic field \( B \) inside a long solenoid is given by the formula: \[ B = \mu_0 n I \] where: ...
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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?

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
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    C
    `15 pi mu C`
    D
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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 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

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  • A long solenoid has 200 turns per cm and carries a current of 2.5A. The magnetic field at its centre is

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    B
    `6.28xx10^-2Wb//m^2`
    C
    `9.42xx10^-2Wb//m^2`
    D
    `12.56xx10^-2Wb//m^2`

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