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Two circular loops having same radius [ ...

Two circular loops having same radius [ R = 10 cm] and same current `(7)/(2)A` are placed along same axis as shown. If distance between their centre is 10 cm. find net magnetic field at of point P.

A

`(50mu_(0))/(sqrt5)T`

B

`(28mu_(0))/(sqrt5)T`

C

`(56mu_(0))/(sqrt5)T`

D

`(56mu_(0))/(sqrt3)T`

Text Solution

Verified by Experts

The correct Answer is:
C

At point P, magnetic field will be in same direction by both coils.
`B=B_(1)+B_(2)" and "B_(1)=B_(2)`
`B=(mu_(0)ir^(2))/(2(r^(2)+n^(2))^(3//2))xx2`
`B=(mu_(0)ir^(2))/((r^(2)+n^(2))^(3//2))`
`B=(mu_(0)xx(7)/(2)xx(.1)^(2))/([(0.1)^(2)+(0.05)^(2)]^(3//2))=(56mu_(0))/(sqrt5)T`
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