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For c=2a if, the magnetic field at point...

For `c=2a` if, the magnetic field at point P will be zero when

A

`a=b`

B

`a=3/5 b`

C

`a=5/3 b`

D

`a=1/3 b`

Text Solution

Verified by Experts

The correct Answer is:
B

Magnetic field at centre
`B=(mu_(0))/(2c) ox+(mu_(0)I)/(2b)(3/4) o.+(mu_(0)I)/(2a)(3/4) ox`
As per problem:
`O=(mu_(0)I)/2[1/c-3/(4b)+3/(4a)]=3/4[1/b-1/a]=1/c`
If `c=2a`
`3/4[1/b-1/a]=1/(2a)implies a=5/3b`
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