Magnetics 3 Question 8
8. A wire $A B C D E F$ (with each side of length $L$ ) bent as shown in figure and carrying a current $I$ is placed in a uniform magnetic induction $B$ parallel to the positive $y$-direction. The force experienced by the wire is …… in the direction.
(1990, 2M)
True/False
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Answer:
Correct Answer: 8. $I L B$, positive-z
Solution:
- Net force is on an imaginary wire $F A$ having current $I$ from $F$ to $A$.
$$ \mathbf{F}=I[(L \hat{\mathbf{i}}) \times(B \hat{\mathbf{j}})]=I L B \hat{\mathbf{k}} $$
$\because \quad$ Magnitude of force is $I L B$ and direction of force is positive $z$.
