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A solenoid 50 cm long has 4 layers of wi...

A solenoid 50 cm long has 4 layers of windings of 350 turns each. If the current carried is 6 A, find the magnetic field at the centre of the solenoid.

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To find the magnetic field at the center of the solenoid, we can follow these steps: ### Step 1: Determine the total number of turns (N) The solenoid has 4 layers of windings, with each layer containing 350 turns. Therefore, the total number of turns (N) can be calculated as: \[ N = \text{Number of layers} \times \text{Turns per layer} = 4 \times 350 = 1400 \text{ turns} \] ...
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Knowledge Check

  • A solenoid is 2 m long and 4 cm in diameter. It has 4 layers of windings of 1000 turns each and carries a current of 5 A. What is the magnetic field at the center of the solenoid?

    A
    `10^(-3)T`
    B
    `2pi xx 10^(-3)T`
    C
    `4pi xx 10^(-3)T`
    D
    `8pi xx 10^(-3)T`
  • A long solenoid of length L has a mean diameter D . It has n layers of windings of N turns each. If it carries a current ‘i’ the magnetic field at its centre will be

    A
    Proportional to `D`
    B
    Inversely proportional to `D`
    C
    Independent of `D`
    D
    Proportinal to `L`
  • A solenoid of length 50 cm and a radius of cros section 1 cm has 1000 turns of wire wound over it if the current carried is 5A the magnetic field on its axis near the centre of the solenoid is approximately (Given permeability of free space mu_(0)=4pi xx10^(-7) T-mA^(-1) )

    A
    `0.63xx10^(-2)T`
    B
    `1.26 xx10^(-2) T`
    C
    `2.51 xx10^(-2)T`
    D
    `6.3 T`
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