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A straight conductor carrying a current i = 7.8 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 6.2 cm?

A straight conductor carrying a current i = 7.8 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 6.2 cm?

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A straight conductor carrying a current i = 7.8 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 6.2 cm?

Explanation & Steps

There are 4 portions of wire due to which magnetic field at centre need to be calculated. 1) left straight wire 2) right straight wire 3) upper circular loop 4) lower circular loop. Also determine the direction of magnetic field due to each portion of the wire. Net magnetic field will be vector sum of all magnetic fields.

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