First slide

Magnetism

Question

Two short magnets of magnetic moment $1000 {Am}^{2}$ are placed as shown at the corners of a square of side 10cm the net magnetic indication at P is

Moderate

A

0.1 T
B

0.2T
C

0.3T
D

0.4T

Solution

$F o r B a r M a g n e t 1, P i s e q u a t o r i a l p o i n t : B_{1} = B_{e} = \frac{μ_{0}}{4 π} \frac{M}{d^{3}} = \frac{10^{- 7} \times 1000}{{(0.1)}^{3}} = 0.1 T$
$F o r B a r M a g n e t 2, P i s a x i a l p o i n t : B_{2} = B_{a} = \frac{μ_{0}}{4 π} \frac{2 M}{d^{3}} = \frac{10^{- 7} \times 2 \times 1000}{{(0.1)}^{3}} = 0.2 T$
$∴ B_{net} = B_{2} - B_{1} = 0.2 - 0.1 = 0.1 T$

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