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NEET PHYSICSMedium

A thick current carrying cable of radius 'R' carries current 'I' uniformly distributed across its cross-section. The variation of magnetic field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by

A

(1)

B

(2)

C

(3)

D

(4)

Step-by-Step Solution

From Ampere's circuital law, B=μ0I2πR2rB = \frac{\mu_0 I}{2\pi R^2} \cdot r if r<RBinsiderr < R \Rightarrow B_{inside} \propto r. B=μ0I2πrB = \frac{\mu_0 I}{2\pi r} if rRBoutside1rr \geq R \Rightarrow B_{outside} \propto \frac{1}{r}. Hence the correct plot of magnetic field B with distance r from axis of cable is given as shown in the diagram.

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