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 what is the magnetic field at the point of intersection of their axis

Options

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

Answer

A

Explanation

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