A rigid wire consists of a semicircular portion of radius R and two straight sections, so that the two free en…

Question

A rigid wire consists of a semicircular portion of radius $R$ and two straight sections, so that the two free ends are a distance $2R$ apart along the $x$ -axis. The wire is partially immersed in a perpendicular magnetic field $\vec{B} = B_0\hat{k}$ . The magnetic force on the wire if it carries a current $i$ is:

A
$-iBR\,\hat{j}$
B
$2iBR\,\hat{j}$
C
$iBR\,\hat{j}$
D
$-2iBR\,\hat{j}$

Accepted Answer

D. $$-2iBR\,\hat{j}$$

Answer

A. $$-iBR\,\hat{j}$$

Answer

B. $$2iBR\,\hat{j}$$

Answer

C. $$iBR\,\hat{j}$$

Answer & step-by-step solution

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