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A solenoid of length 0*4 m and having 50...

A solenoid of length 0*4 m and having 500 turns of wire carries a current of 3-0 A. A thin coil having 10 turns of wire and of radius 0-01 m carries a current of 0*4 A. Calculate the torque required to hold the coil in the middle of the ,solenoid with its axis perpendicular to the axis of the solenoid.

A

`6 xx 10^6 N`

B

`5.94 xx 10^-6 Nm`

C

`9.54 xx 10^6 Nm`

D

`5.9 xx 10^-8 Nm`.

Text Solution

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Knowledge Check

  • The torque required to hold a small circular coil of 10 turns, area 1 m m ^(2) and carrying a current of ((21)/(44)) A in the middle of a long solenoid of 10^(3) turns/m carrying a current of 2.5 A, with its axis perpendicular to the axis of the solenoid is :

    A
    `1 . 5 xx 10^(-6) N - m`
    B
    `1 . 5 xx 10^(-8) N - m`
    C
    `1 . 5 xx 10^(+6) N - m`
    D
    `1 . 5 xx 10^(+8) N - m`
  • The torque required to hold a small circular coil of 10 turns ,area 1 mm^(2) and crying a current of ((21)/(44)) A in the middle of a long solenoid of 10^(3) turns/m carrying a current of 2.5 A, with its axis perpenducular to the axis of the solenoid is

    A
    `1.5xx10^(-6)N m`
    B
    `1.5xx10^(-8)N m`
    C
    `1.5xx10^(+6)N m`
    D
    `1.5 xx10^(+8)N m`
  • A solenoid has length 0.4 cm, radius 1 cm and 400 turns of wire. If a current of 5 A is passed through this solenoid, what is the magnetic field inside the solenoid ?

    A
    `6 . 28 xx 10^(-4) T`
    B
    ` 6 . 28 xx 10^(-3) T`
    C
    `6 . 28 xx 10^(-7) T`
    D
    `6 . 28 xx 10^(-7) T`
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