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In the given figure the magnitude of mag...

In the given figure the magnitude of magnetic field at `O` is ( all three wires are quarter circular ares )

A

`(mu_(0)I)/(4R)sqrt(3)`

B

`(mu_(0)I)/(2R)sqrt(3)`

C

`(mu_(0)I)/(8R)sqrt(3)`

D

`(mu_(0)I)/(6R)sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
c
`B=(mu_(0)I)/(4pir)((pi)/(2)),B` due to all three arc will be mutually perpendicular `B_(n et)=sqrt(3)(mu_(0)I)/(8R)`
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Knowledge Check

  • In the given figure net magnetic field at O will be

    A
    `(2mu_(0)i)/(3pi a) sqrt(4-pi^(2))`
    B
    `(mu_(0)i)/(3pi a) sqrt(4 + pi^(2))`
    C
    `(2mu_(0)i)/(3 pi a^(2)) sqrt(4 + pi^(2))`
    D
    `(2mu_(0)i)/(3pi a) sqrt((4-pi^(2)))`

  • In the given figure net magnetic field at O will be

    A
    `(2mu_(0)i)/(3pi a) sqrt(4 - pi^(2))`
    B
    `(mu_(0)i)/(3pi a) sqrt(4 + pi^(2))`
    C
    `(2mu_(0)i)/(3pi a^(2)) sqrt(4 +pi^(2))`
    D
    `(mu_(0)i)/(3pi a) sqrt((4 + pi^(2)))`

  • In the figure shown here, the magnetic field at O is

    A
    `mu_(0)I/4(1/R_(1)-1/R_(2))`
    B
    `mu_(0)I/4(1/R_(1)+1/R_(2))`
    C
    `mu_(0)I/4pi (1/R_(1)+1/R_(2))`
    D
    Zero

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