Two identical short bar magnets, each having magnetic moment M, are placed a distance of 2d apart with axes perpendicualr to each other in a horizontal plane. The magnetic induction ata a point midway between them is

Options

A. `sqrt(2)xx10^(-7)`Tesla
B. `sqrt(5)xx10^(-7)`Tesla
C. `sqrt(2)xx10^(-3)`Tesla
D. `sqrt(5)xx10^(-3)`Tesla

Answer

4

Explanation

From figure `B_(met)=sqrt(B_(a)^(2)+B_(e)^(2)=sqrt((mu_(0)/4pi . 2M/d^(3))^(2)+ (mu_(0)/4pi . M/d^(3))^(2)`
`=sqrt(5).mu_(0)/4pi .M/d^(3)=sqrt(5)xx10^(-7)xx10/(0.1)^(3)=sqrt(5)xx10^(-3)`Tesla