Two short bar magnets of moment each `100 A-m^(2)`are placed as shown in figure at the corners of a square of side 10 cm.The magnetic induction at P is

Options

A. Zero
B. `2sqrt(2)xx10^(-2) T`
C. `sqrt(2) xx10^(-2)T`
D. `2xx10^(-2)T`

Answer

C

Explanation

`B_(1)=B_(2)`
`=(mu_(0))/(4pi)(M)/(d^(3))=10^(-7)x(10^(2))/(10^(-3))=10^(-2)T`
`B=sqrt(B_(1)^(2)+B_(2)^(2)2B_(1)B_(2)cos90^(@))`ltbrge`sqrt(B_(1)^(2)+B_(2)^(2))=sqrt((10^(-2))^(2)+(10^(-2))^(-2))`
`=10^(2)sqrt(2) T.`