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The magnetic field B inside a long solen...

The magnetic field B inside a long solenoid, carrying a current of 5.00 A, is `(3.14 xx 10^-2)` T. Find the number of turns per unit length of the solenoid.

Text Solution

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To find the number of turns per unit length of a solenoid given the magnetic field inside it, we can use the formula for the magnetic field inside a long solenoid: \[ B = \mu_0 n I \] Where: - \( B \) is the magnetic field inside the solenoid (in Tesla), - \( \mu_0 \) is the permeability of free space (\( 4\pi \times 10^{-7} \, \text{T m/A} \)), - \( n \) is the number of turns per unit length (in turns/m), ...
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Knowledge Check

  • The magnetic field inside a long straight solenoid carrying current

    A
    is zero
    B
    decreases as we move towards its end
    C
    increases as we move towards its end
    D
    is the same at all points
  • The magnetic field inside a long straight solenoid-carrying current.

    A
    is zero
    B
    decreases as we move towards its end.
    C
    increases as we move towards its end.
    D
    is the same at all points.
  • The magnetic field lines inside a current carrying solenoid are

    A
    parabolic
    B
    curved
    C
    straight
    D
    circular
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    (a) Find magnetic field inside a long solenoid, carrying current (1//pi) A and having number of turns per unit length 10 . Also calculate magnetic field at ends. (b) A long solenoid is fabricated by closely winding a wire of diameter 10 mm over a cylinderical non-magnetic frame so that the successive turns nearly touch each other. Find magnetic field at the centre and ends of solenoid if it carriers a current (4//pi) A ? (c) A single-layer coil (solenoid) has length l and cross-section radius R . The number of turns per unit length is equal to n . Find the magnetic induction at the centre of the coil when a current i flows through it. (d) A solenoid of length 0.4 m and diameter 0.6 m consists of a single layer of 1000 turns of the fine wire carrying a current of 5 mA . Calculate the magnetic field on the axis at the middle and at the ends of the solenoid.

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