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For c = 2 a and a lt b lt c , the magne...

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

A

`a=b`

B

`a=3/5b`

C

`a=5/3b`

D

`a=1/3b`

Text Solution

Verified by Experts

Magnetic field at the centre
`b=(mu_(0)I)/(2c)ox+(m_(0)I)/(2b)(3/4)o.+(mu_(0)I)/(2a)(3/4)ox`
As per problem
`0=(mu_(0)I)/2[1/c-3/(4b)+3/(4a)]implies3/4[1/b=1/a]`
`=1/c`
If `c=2a`
`3/4[1/b-1/a]=1/(2a)impliesa=5/3b`
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