Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as

Question

Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as (A)  (1/r2) (B)  (1/r) (C)  (1/r3) (D)  (1 /√r)

Tardigrade Admin · Accepted Answer

We have B=(μ0/4 π) ⋅ (2 I/r) ∴ B propto (1/r)

Q. Magnetic field at a distance $r$ from an infinitely long straight conductor carrying a steady current varies as

$\frac{1}{r ^{2}}$

$\frac{1}{r}$

$\frac{1}{r ^{3}}$

$\frac{1}{r}$

We have $B = \frac{μ _{0}}{4 π} \cdot \frac{2 I}{r}$
$∴ B \propto \frac{1}{r}$

Q. Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as

r21​

r1​

r31​

r​1​

We have B=4πμ0​​⋅r2I​ ∴B∝r1​

Q. Magnetic field at a distance $r$ from an infinitely long straight conductor carrying a steady current varies as

$\frac{1}{r ^{2}}$

$\frac{1}{r}$

$\frac{1}{r ^{3}}$

$\frac{1}{r}$

We have $B = \frac{μ _{0}}{4 π} \cdot \frac{2 I}{r}$
$∴ B \propto \frac{1}{r}$