N equally spaced charges each of value q , are placed on a circle of radius R . The circle rotates about its axis with an angular velocity \(\omega\) as shown in the figure. A bigger Amperian loop B encloses the whole circle where as a smaller Amperian loop A encloses a small segment. The difference between enclosed currents, \(I_A-I_B\), for the given Amperian loops is:

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{N}}{2 \pi} \mathrm{q} \omega\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & I_A=\frac{N q}{\frac{2 \pi}{\omega}} \\ & I_A=\frac{N q \omega}{2 \pi}, I_B=0 \\ & I_A=I_B=\frac{N q \omega}{2 \pi}\end{aligned}\)

Same subject

A spring whose unstretched length is \(\ell \) has a force constant \(k\). The spring is cut into two pieces of unstretched lengths \(\ell_1\) and \(\ell_2\) where, \(\ell_1 = n\ell_2\) and \(n\) is an integer. The ratio \(k_1/k_2\) of the corresponding force constants, \(k_1\) and \(k_2\) will be

JEE Mains 2019 Medium
The reading of the ammeter for a silicon diode in the given circuit is.......\(mA\)

JEE Mains 2018 Medium
Which of the following are true? \(A.\) Speed of light in vacuum is dependent on the direction of propagation. \(B.\) Speed of light in a medium in independent of the wavelength of light. \(C.\) The speed of light is independent of the motion of the source. \(D.\) The speed of light in a medium is independent of intensity. Choose the correct answer from the option given below :

JEE Mains 2023 Medium
Heat is given to an ideal gas in an isothermal process. \(A.\) Internal energy of the gas will decrease. \(B.\) Internal energy of the gas will increase. \(C.\) Internal energy of the gas will not change. \(D.\) The gas will do positive work. \(E.\) The gas will do negative work. Choose the correct answer from the options given below :

JEE Mains 2023 Medium
There are ' \(n\) ' number of identical electric bulbs, each is designed to draw a power \(p\) independently from the mains supply. They are now joined in series across the main supply. The total power drawn by the combination is :

JEE Mains 2025 Easy
A plane polarized monochromatic \(EM\) wave is travelling a vacuum along \(z\) direction such that at \(t\, = t_1\) it is found that the electric field is zero at a spatial point \(z_1\) . The next zero that occurs in its neighbourhood is at \(z_2\). The frequency of the electromagnetic wave is:

JEE Mains 2018 Hard

Explore more questions on app

From JEE Mains

A block of mass \(0.1\, kg\) is connected to an elastic spring of spring constant \(640\, Nm^{-1}\) and oscillates in a damping medium of damping constant \(10^{-2}\, kg\,s^{-1}\) . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to ..... \(s\)

JEE Mains 2017 Hard
Calculate the limit of resolution of a telescope objective having a diameter of \(200\, cm\), if it has to detect light of wavelength \(500\, nm\) coming from a star

JEE Mains 2019 Easy
To find the focal length of a convex mirror, a student records the following data

Object Pin Convex Lens Convex Mirror Image Pin

\(22.2\,cm\) \(32.2\,cm\) \(45.8\,cm\) \(71.2\,cm\)

The focal length of the convex lens is \(f_1\) and that of mirror is \(f_2\). Then taking index correction to be negligibly small, \(f_1\) and \(f_2\) are close to

JEE Mains 2016 Hard
Two very long, straight and insulated wires are kept at \(90^o\) angle from each other In \(xy -\) plane as shown in the figure. These wires carry current of equal magnitude \(I\), whose directions are shown in the figure. The net magnetic field at point \(P\) will be

JEE Mains 2019 Medium
In the given electromagnetic wave \(E_y=600 \sin (\omega t-k x) \mathrm{Vm}^{-1}\), intensity of the associated light beam is what? (in \(\mathrm{W} / \mathrm{m}^2\) ); (Given \(\epsilon_0=\) \(\left.9 \times 10^{-12} \mathrm{C}^{-2} \mathrm{~N}^{-1} \mathrm{~m}^{-2}\right)\)

JEE Mains 2024 Hard

Explore more questions on app

Object Pin	Convex Lens	Convex Mirror	Image Pin
\(22.2\,cm\)	\(32.2\,cm\)	\(45.8\,cm\)	\(71.2\,cm\)