Question:
An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface.
Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface.
Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
Updated On: Mar 19, 2025
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is (D) : 
Inside a hollow cylindrical conductor with uniform current distribution net magnetic field is zero in hollow space.
But outside the cylindrical conductor
\(B ∝ \frac{1}{r}\)
Was this answer helpful?
0
0
Top Questions on Magnetism and matter
- A plane electromagnetic wave is moving in free space with velocity \[ c=3\times10^{8}\ \text{m/s} \] and its electric field is given as \[ \vec E = 54\sin(kz-\omega t)\,\hat{j}\ \text{V/m}, \] where \(\hat{j}\) is the unit vector along the \(y\)-axis. The magnetic field \(\vec B\) of the wave is:
- JEE Main - 2026
- Physics
- Magnetism and matter
- An inductor stores \(16\,\text{J}\) of magnetic field energy and dissipates \(32\,\text{W}\) of thermal energy due to its resistance when an alternating current of \(2\,\text{A}\) (rms) and frequency \(50\,\text{Hz}\) flows through it. The ratio of inductive reactance to resistance is _______. \((\pi=3.14)\) Given: \[ U=16\,\text{J},\quad P=32\,\text{W},\quad I=2\,\text{A},\quad f=50\,\text{Hz} \]
- JEE Main - 2026
- Physics
- Magnetism and matter
- A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is:
[A.] maximum at either end of the conductor
[B.] maximum at the axis of the conductor and minimum at the midpoint
[C.] minimum at the surface of the conductor
[D.] minimum at the axis of the conductor
[E.] same at all points in the cross-section of the conductor
Choose the correct answer from the options given below:- JEE Main - 2026
- Physics
- Magnetism and matter
- A sample of a ferromagnetic iron in the shape of a cube of side 1.0 μm contains $8.7 \times 10^{29}$ atoms per cubic meter and the magnetic dipole moment of each iron atom is $9.3 \times 10^{-29}$ Am². Then the maximum possible magnetic dipole moment (in Am²) of the sample is nearly
- AP EAPCET - 2025
- Physics
- Magnetism and matter
- The magnetic field at the center of a long solenoid having 400 turns per unit length and carrying a current $I = 6.24 \times 10^{-7$ A is}
- AP EAPCET - 2025
- Physics
- Magnetism and matter
View More Questions
Questions Asked in JEE Main exam
- For two identical cells each having emf \(E\) and internal resistance \(r\), the current through an external resistor of \(6\,\Omega\) is the same when the cells are connected in series as well as in parallel. The value of the internal resistance \(r\) is ________ \(\Omega\).
- JEE Main - 2026
- Current electricity
- The half-life of $^{65}$Zn is 245 days. After $x$ days, 75% of the original activity remained. The value of $x$ in days is __________ (Nearest integer).}
(Given: $\log 3 = 0.4771$ and $\log 2 = 0.3010$)- JEE Main - 2026
- Surface Chemistry
- The hydrogen spectrum consists of several spectral lines in Lyman series (L$_1$, L$_2$, L$_3$ ...; L$_1$ has lowest energy among Lyman series). Similarly, it consists of several spectral lines in Balmer series (B$_1$, B$_2$, B$_3$ ...; B$_1$ has lowest energy among Balmer lines). The energy of L$_1$ is $x$ times the energy of B$_1$. The value of $x$ is ___ $\times 10^{-1}$. (Nearest integer)
- JEE Main - 2026
- Atomic Structure
The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9 V with internal resistance of 1 \(\Omega\) is connected across these points is ______ J.
- JEE Main - 2026
- Current electricity
- Let $\vec{a}=2\hat{i}-\hat{j}-\hat{k}$, $\vec{b}=\hat{i}+3\hat{j}-\hat{k}$ and $\vec{c}=2\hat{i}+\hat{j}+3\hat{k}$. Let $\vec{v}$ be the vector in the plane of $\vec{a}$ and $\vec{b}$, such that the length of its projection on the vector $\vec{c}$ is $\dfrac{1}{\sqrt{14}}$. Then $|\vec{v}|$ is equal to
- JEE Main - 2026
- Vector Algebra
View More Questions
Concepts Used:
Magnetism & Matter
Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.