First slide

Force on a current carrying wire placed in a magnetic field

Question

Consider a solenoid with 0.3 T magnetic field inside it. 8 cm long wire placed inside the solenoid perpendicular
Find the magnetic force acting on a to its axis if the wire carry 10 A current:

Moderate

A

0.14 N
B

0.24 N
C

0.34 N
D

0.44 N

Solution

$F = I lB \sin θ$
$Here, θ = 90^{\circ}, I = 10 A,$
$I = 8 cm = 8 \times 10^{- 2} m, B = 0.3 T$
$∴ F = 10 \times 8 \times 10^{- 2} \times 0.3$
$\times \sin 90^{\circ} = 0.24 N$

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