Two straight wires 1 and 3, each of length L=4 cm, are connected by a quarter circular arc wire 2 of radius R=3 cm, as shown in Fig A. Determine the magnitude and direction of the magnetic field at the center P of the arc, when the current I is 2A.
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Explanation:
Magnetic field at O due to two straight wires =0
Magnetic field due to circular wire:
B=
4
1
(due to whole circle)
=
4
1
(
2R
μ
o
i
) (inwards)
=
4
1
×
2×0.03
(4π×10
−7
)(5)
=2.62×10
−5
T
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