Question

12.
(47 R-3
Magnetic field induction at P, which is
equidistant from centres of 4 short magnetic
dipoles is
M
2M
4M
2M
Ho 3M
41 p3
(2) Mom
403
(3) 10 211
Mo 2M
(4) Zero
i
Am2​

Answer 1

zero................

Answer 2

The resultant magnetic field at a point midway between the dipoles is √5 × 10^−7 T

Explanation:

Question statement:

Two identical magnetic dipoles of magnetic moments 1⋅0 Am2 each are placed at a separation of 2 m with their axes perpendicular to each other. What is the resultant magnetic field at a point midway between the dipoles?

Solution:

B1 = μ0 / 4π 2M1 / d^3 = 10^−7 × 2× 1 / 1^3  

= 2 × 10^−7 T, along PB1

B2 = μ0 / 4π M2 / d^3 = 10^−7× (1 / 1^3)  =10^−7 T along PB2

Resultant magnetic field, B = √B1^2 + B2^2

= √(2 × 10^−7)^2 + (1 × 10^−7)^2 = √5 × 10^−7 T

Hence the resultant magnetic field at a point midway between the dipoles is √5 × 10^−7 T