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A current I ampere flows in the loop hav...

A current I ampere flows in the loop having circular arc of radius r metre subtending an angle 6 as shown in figure. The magnetic field, at center of circle is

A

`(mu_0"l"theta)/(4pir)`

B

`(2mu_0"l")/(4pir^2)sintheta`

C

`(2mu_0"l")/(2r)sintheta`

D

`(mu_0"l"sintheta)/(4r)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A current i ampere flows in the loop having circular arc of radius r metre subtending an angle theta^@ as shown in figure. The magnetic field at centre O of circle is

    A
    `mu_(0)I theta/4pi r`
    B
    `mu_(0)I theta/4pi r^(2) sin theta`
    C
    `mu_(0)/4 i/r theta^(@)/180^(@)`
    D
    `mu(0)I sin theta /4r`

  • A current l flows through a closed loop as shown in figure .The magnetic field at the centre O is

    A
    `(mu_(0)I)/(2piR)(pi-theta+tantheta)`
    B
    `(mu_(0)I)/(2piR)(pi-theta+sintheta)`
    C
    `(mu_(0)I)/(2piR)(theta+sintheta)`
    D
    None of these

  • A current i ampere flows in a circular arc of wire whose radius is R , which subtend an angle 3pi//2 radian at its centre. The magnetic induction B at the centre is

    A
    `(mu_(0)i)/R`
    B
    `(mu_(0)i)/(2R)`
    C
    `(2mu_(0)i)/R`
    D
    `(3 mu_(0)i)/(8R)`

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