Two identical loops P and Q each of radius `5cm` are lying in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net field at the common centre of the two coils, if they carry currents equal to `3A` and `4A` respectively.

Explanation

`B_(p) = (mu_(0)I)/(2a) = (4pi xx10^(-7) xx3)/(2xx5xx10^(-2)) = 12pi xx10^(-6)T`
` r = 5 cm = 5 xx 10^(-2) m`
`B_(Q) = (mu_(0)I)/(2a) = (4pi xx10^(-7) xx4)/(2xx5xx10^(-2)) = 16pi xx10^(-6)T`
Net magnatic field :
`B = sqrt(B_(P)^(2) + B_(Q)^(2)) = sqrt((12pix10^(-6) )^(2) xx(16 pixx10^(-6))^(2))`
`sqrt((4pi xx10^(-6))^(2) xx(9+ 16) ) = 5xx 4pi xx10 ^(-6)T`
` 20 xx 3.14 xx10^(-6) T = 6.28 xx10^(-5)` T.
As direction of `overset(to)(I)` is not given hence, direction of `overset(to)(B)` cannot be determined
For anticlockwise `overset(to)(I),overset(to)(B)` is clockwise .