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In the given figure find out magnetic fi...

In the given figure find out magnetic field at point B (Given : I=2.5A, r=5cm)

A

`pi xx[1+(1)/(pi)] xx 10^(-5)T`

B

`pi[1+(1)/(pi)]xx10^(-6)T`

C

`pi((pi+1)/(pi))xx10^(-6)T`

D

`((pi+1)/(pi))xx10^(-6)T`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecB_(B) =vecB_("wire")+vecB_("Ring")`
`vecB_("wire") =(mu_(0)i)/(4pi r)-(-hatk)+(mu_(0)i)/(4pi r)(-hatk)=(mu_(0)i)/(2pi r)(-hatk)`
`vecB_("Ring") =((mu_(0)i)/(2pi r)+(mu_(0)i)/(2r))-hatk`
`B_(B)=(mu_(0)i)/(2r) [(1)/(pi)+1]=(4pi xx 10^(-7)xx2.5)/(2xx5xx10^(-2))[1+(1)/(pi)]`
`=10pi xx 10^(-6) [1+(1)/(pi)] = pi xx [1 +(1)/(pi)] xx 10^(-5)T`
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