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 :

Question

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)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

B propto r(0 ≤ r ≤ R) B propto (1/r)(r ≥ R)

Q. 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 :

$B \propto r (0 \leq r \leq R)$
$B \propto \frac{1}{r} (r \geq R)$

Q. 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 :

B∝r(0≤r≤R) B∝r1​(r≥R)

Q. 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 :

$B \propto r (0 \leq r \leq R)$
$B \propto \frac{1}{r} (r \geq R)$