A current i is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius R1 and outer radius R2 . Magnetic field B varies with distance r from the axis of the cylinder as

Question

A current i is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius R1 and outer radius R2 . Magnetic field B varies with distance r from the axis of the cylinder as (A) Option 1

(B)

(C)

(D)

Tardigrade Admin · Accepted Answer

r < R1, B=0 r > R2 , b=(μ 0 i/2 π r) R1 < r < R2, B=((μ )0 i (r2 - R12)/2 π r (R22 - R12))

Q. A current $i$ is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius $R_{1}$ and outer radius $R_{2}$ . Magnetic field $B$ varies with distance $r$ from the axis of the cylinder as

$r < R_{1}, B = 0$
$r > R_{2}, b = \frac{μ _{0} i}{2 π r}$
$R_{1} < r < R_{2}, B = \frac{( μ ) _{0} i ( r ^{2} - R _{1}^{2} )}{2 π r ( R _{2}^{2} - R _{1}^{2} )}$

Q. A current i is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius R1​ and outer radius R2​ . Magnetic field B varies with distance r from the axis of the cylinder as

r<R1​,B=0 r>R2​,b=2πrμ0​i​ R1​<r<R2​,B=2πr(R22​−R12​)(μ)0​i(r2−R12​)​

Q. A current $i$ is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius $R_{1}$ and outer radius $R_{2}$ . Magnetic field $B$ varies with distance $r$ from the axis of the cylinder as

$r < R_{1}, B = 0$
$r > R_{2}, b = \frac{μ _{0} i}{2 π r}$
$R_{1} < r < R_{2}, B = \frac{( μ ) _{0} i ( r ^{2} - R _{1}^{2} )}{2 π r ( R _{2}^{2} - R _{1}^{2} )}$