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Magnetic Field Inside a Hollow Conductor

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A hollow cylindrical conductor with inner radius aa and outer radius bb carries a current II that is uniformly distributed over its cross-section. What is the magnitude of the magnetic field at a distance rr from the central axis, where a<r<ba < r < b?

A

B=μ0I2πrB = \frac{\mu_0 I}{2\pi r}

B

B=μ0Ir22π(b2−a2)B = \frac{\mu_0 Ir^2}{2\pi (b^2 - a^2)}

C

B=μ0I(r2−a2)2πr(b2−a2)B = \frac{\mu_0 I (r^2 - a^2)}{2\pi r (b^2 - a^2)}

D

B=μ0Ir2π(b2−a2)B = \frac{\mu_0 Ir}{2\pi (b^2 - a^2)}

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