First slide

Force on a current carrying wire placed in a magnetic field

Question

A current carrying conductor AB is bent in a form of a semi circle of radius r and it is placed in a uniform magnetic field of induction B as shown in figure. Then force experienced by the conductor is

Moderate

A

Zero
B

2irB
C

irB
D

2πirB

Solution

$\vec{F} = i \vec{l_{e}} \times \vec{B}$ . Here equivalent length le is parallel to $\vec{B}$ .
Hence $F = i l_{e} {Bsinθ}^{o} = 0$

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