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A cylindrical cavity of diameter a exists inside a cylinder of diameter 2 a as shown in the figure. Both the cylinder and the cavity are infinity long. A uniform current density J flows along the length. If the magnitude of the magnetic field at the point P is given by N 1 2 μ 0 a J , then the value of N is

Correct answer

5

Step-by-step solution

B = μ 0 J π a 2 2 π a - μ 0 J π a 2 / 4 2 π 3 a 2 B = 5 μ 0 J a 1 2 = μ 0 N J a 1 2 So N = 5

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