Consider the circuit in the figure (b). The curved segments are arcs of circles

Question

Consider the circuit in the figure (b). The curved segments are arcs of circles of angle 30o and radii a = 20 cm and b = 10 cm. The straight segments are along radii. Find the magnetic field B at point P ( the center of curvature), assuming a current of 8 A clockwise in the circuit. (Positive out of page and negative into page)

Consider the circuit in the figure (b). The curved segments are arcs of circles of angle 30 degree and radii a = 20 cm and b = 10 cm. The straight segments are along radii. Find the magnetic field B at point P ( the center of curvature), assuming a current of 8 A clockwise in the circuit. (Positive out of page and negative into page)

Explanation / Answer

B = (uo*I/4*pi*R^2)*(theta)

theta = 30 = pi/6

Bnet = (uo*I/24)*((1/b)-(1/a)) = (2*3.14*10^-7/24)*((1/0.2)-(1/0.1))

Bnet = 261.67*10^?9 T

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