(B) For a cylindrical wire carrying a steady current $I$:$1$. Inside the wire,there is an electric field $E = J/\sigma$ (where $J$ is current density

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(B) For a cylindrical wire carrying a steady current $I$:$1$. Inside the wire,there is an electric field $E = J/\sigma$ (where $J$ is current density and $\sigma$ is conductivity) to maintain the steady current flow. Thus,the electric field at the axis is not zero.$2$. According to Ampere's circuital law,the magnetic field $B$ at a distance $r$ from the axis (where $r $3$. Outside the wire (in the vicinity),the electric field is zero because the wire is electrically neutral. However,the magnetic field outside is given by $B = \frac{\mu_0 I}{2\pi r}$,which is not zero.Therefore,statements $(b)$ and $(c)$ are correct.

Class 12 Physics Moving Charges and Magnetism Biot-Savart's Law and its application

Medium

$A$ steady electric current is flowing through a cylindrical wire. Which of the following statements is/are correct?
$(a)$ The electric field at the axis of the wire is zero.
$(b)$ The magnetic field at the axis of the wire is zero.
$(c)$ The electric field in the vicinity of the wire is zero.
$(d)$ The magnetic field in the vicinity of the wire is zero.

A
$a, b, c$
B
$b, c$
C
only $c$
D
only $b$

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Class 12 Questions

Class 12

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Moving Charges and Magnetism

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Biot-Savart's Law and its application

An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current $I$ and the radius of the circular loop is $r$. The magnetic induction at the center $O$ of the circular loop is:

MediumAP EAMCET 2020

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$A$ cylindrical conductor of radius $R$ carries a current $i$. The value of the magnetic field at a point which is $R/4$ distance inside from the surface is $10 \, T$. Find the value of the magnetic field at a point which is $4R$ distance outside from the surface.

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Two infinitely long wires, each carrying a current $I = 10 \ A$, are bent to form a right angle as shown in the figure. Find the magnetic induction at point $O$. $\left[\mu_0 = 4\pi \times 10^{-7} \ H \ m^{-1}\right]$

EasyAP EAMCET 2017

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$A$ loop $ABCDA$,carrying current $I=12 \ A$,is placed in a plane,consists of two semi-circular segments of radius $R_1=6 \pi \ m$ and $R_2=4 \pi \ m$. The magnitude of the resultant magnetic field at center $O$ is $k \times 10^{-7} \ T$. The value of $k$ is . . . . . . . (Given $\mu_0=4 \pi \times 10^{-7} \ Tm \ A^{-1}$)

MediumJEE MAIN 2025

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$A$ current of $0.1\, A$ circulates around a coil of $100$ turns and having a radius equal to $5\, cm$. The magnetic field set up at the centre of the coil is $({\mu _0} = 4\pi \times {10^{ - 7}}\,T\cdot m/A)$.

Easy

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An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current $I$ and the radius of the circular loop is $r$. The magnetic induction at the center $O$ of the circular loop is:

$A$ cylindrical conductor of radius $R$ carries a current $i$. The value of the magnetic field at a point which is $R/4$ distance inside from the surface is $10 \, T$. Find the value of the magnetic field at a point which is $4R$ distance outside from the surface.

Two infinitely long wires, each carrying a current $I = 10 \ A$, are bent to form a right angle as shown in the figure. Find the magnetic induction at point $O$. $\left[\mu_0 = 4\pi \times 10^{-7} \ H \ m^{-1}\right]$

$A$ current of $0.1\, A$ circulates around a coil of $100$ turns and having a radius equal to $5\, cm$. The magnetic field set up at the centre of the coil is $({\mu _0} = 4\pi \times {10^{ - 7}}\,T\cdot m/A)$.

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