Question

A wire carrying a finite current in it has the configuration
as shown in figure. Two semi-infinite straight sections,
both tangent to the same circle, are connected by a
circular arc of central angle o, along the circumference
of the circle, with all sections lying in the same plane.
What must e (in radian) be for magnitude of magnetic
field to be zero at the center of the circle?
R​

Answer 1

Answer:

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Explanation:

ANSWER

Two straight wires produces outwards magnetic field by arc of circle produces inward magnetic field.

Due to straight wires:

B

1

=2[

4π

μ

o

R

i

(sin0

o

+sin90

o

)]

=

2πR

μ

o

i

(outwards)

Due to circular arc

B

2

=

2π

θ

(

2R

μ

o

i

) (inwards)

For net field to be zero.

B

1

=B

2

or θ=2rad