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A solenoid length 0.4cm, radius 1 cm and...

A solenoid length 0.4cm, 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

`6.28xx10^(-7)T`

B

`6.28xx10^(-4)T`

C

`6.28xx10^(-6)T`

D

`6.28xx10^(-3)T`

Text Solution

Verified by Experts

Here,
Length, `l=0.4cm = 0.4 xx 10^(-2)m`
Radius, `r=1cm = 10^(-2)m`
Number of turns, `N=400`
Current, `I=5A`
Number of turns per unit length is
`n=N/l = (400)/(0.4xx10^(-2))=10^(5)` turns/m
Magnetic field inside the solenoid is
`B=mu_(0)n I = 4 pi xx 10^(-7)xx10^(5)xx5`
`=62.8xx10^(-2)T= 6.28xx10^(-1)T`
`**` None of the given options is correct.
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Knowledge Check

  • 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`

  • The magnetic field inside the solenoid is

    A
    Non uniform
    B
    Variable
    C
    Same at all points
    D
    Zero

  • The magnetic field inside a solenoid is

    A
    strong at N-pole and weak at S-pole
    B
    Strong at S-pole and weak at N-pole
    C
    uniform throughout
    D
    zero

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