Two short magnets of magnetic moment `2 Am^(2)` and `5 Am^(2)` are placed along two lines drawn at right angle to each other on the sheet of paper as shown in the figure. What is the magnetic field at the point of intersection of their axis?

Options

A. `2.15xx10^(-5)T`
B. `215xx10^(-5)T`
C. `2.15xx10^(-3)T`
D. `21.5xx10^(-5)T`

Answer

A

Explanation

Magnetic field at a point on axial line due to magnet (1)
`(B_(1))=mu_(0)/(4pi)(2M_(1))/r_(1)^(3)`
:. Magnetic field due to magnet `(2) (B_(2))=mu_(0)/(4pi)(2M_(2))/r_(2)^(3)`
:. Net magnet field at point `P`
`B=sqrt(B_(1)^(2)+B_(2)^(2))=2.15xx10^(-5)T`