First slide

The bar magnet

Question

If the length of a bar magnet increases, then
A) magnetic induction on the axial line decreases
B) magnetic induction on the equatorial line increases

Easy

A

A false, B true
B

A true, B false
C

A & B both true
D

A & B both false

Solution

$B_{A} = \frac{μ_{o}}{4 π} \frac{2 Md}{{(d^{1} - l^{2})}^{2}}$ if l increases, $B_{A}$ increases
$B_{E} = \frac{μ_{0}}{4 π} \frac{M}{{(d^{2} + l^{2})}^{3 / 2}}$ if d increases $B_{E}$ decreases

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