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Find the magnetic induction at the origi...

Find the magnetic induction at the origin in the figure shown.

A

`(mu_(0)I)/(2R)((3)/(4)hatk+(1)/(pi)hatj)`

B

`(mu_(0)I)/(4R)((3)/(4)hatk+(1)/(pi)hatj)`

C

`(mu_(0)I)/(3R)((3)/(4)hatk+(1)/(pi)hatj)`

D

`(mu_(0)I)/(4R)((1)/(2)hatk+(1)/(pi)hatj)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The magnetic induction at the centre O in the figure shown in

    A
    `(mu_(0)i)/4(1/(R_(1))-1/(R_(2)))`
    B
    `(mu_(0)i)/4(R_(1)+R_(2))`
    C
    `(mu_(0)i)/4(R_(1)+R_(2))`
    D
    `(mu_(0)i)/4(R_(1)+R_(2))`
  • Find the magnetic field at the origin in the fig. Shown in fig.

    A
    `(mu_(0)I)/(4R)(3/4 hat(k)+1/(pi)hat(j))`
    B
    `(mu_(0)I)/(4R)(3/2 hat(k)+1/(pi)hat(j))`
    C
    `(mu_(0)I)/(4R)(3/4 hat(k)+1/(2 pi)hat(j))`
    D
    None of these
  • The magnetic induction at center O as shown in the figure is

    A
    `(mu_(0)I)/(2a) + (mu_(0)I)/(2b) ox`
    B
    `(3mu_(0)I)/(8a) + (mu_(0)I)/(8b) ox`
    C
    `(3mu_(0)I)/(8a) - (mu_(0)I)/(8b) ox`
    D
    `(3mu_(0)I)/(8a) + (mu_(0)I)/(8b) o.`
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