A wire ABCD is bent in the form shown here in the figure. Segments AB and CD are of length 1m each while the semicircular loop is of radius 1m. A current of 5A flows from A towards the end D and the whole wire is placed in a magnetic field of 0.5 T direction out of the page. The force acting on the wire is .

A wire ABCD is bent in the form shown here in the figure. Segments AB

1.	A wire ABCD is bent in the form shown here in the figure. Segments AB and CD are of length 1m each while the semicircular loop is of radius 1m. A current of 5A flows from A towards the end D and the whole wire is placed in a magnetic field of 0.5 T direction out of the page. The force acting on the wire is .
Answer» 40 N 5 N 10 N 20 N Solution :Net force ACTING on WIRE is, `\|VEC(F)\|= \|vec(F)_(AB)\| + \|vec(F)_(BC)\|+ \|vec(F)_(CA)\|` or `F = Bi xx 1 + Bi xx 2 + Bi xx 1` or `F= 4 Bi = 4 xx 0.5 xx 5= 10N`

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