Electric Charges and Fields

A metal cube of side \(5\mathrm{cm}\) is charged with \(6\mu \mathrm{C}\). The surface charge density on the cube is :

[Re-NEET 2024]

A metal cube of side \(5\mathrm{cm}\) is charged with \(6\mu \mathrm{C}\). The surface charge density on the cube

A metal cube of side \(5\mathrm{cm}\) is charged with \(6\mu \mathrm{C}\). The surface charge density on the cube

The acceleration of an electron due to the mutual attraction between the electron and a proton when they are 1.6 \(\overset{^\circ }{\mathrm{A}}\) apart is.\(\left(\mathrm{m}_{\mathrm{e}} \simeq 9 \times 10^{-31} \mathrm{~kg}, \quad \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\right)\)\( \left(\right. \) Take \( \frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} \mathrm{Nm}^{2} \mathrm{C}^{-2} \) )

[Re-NEET 2020]

A spherical conductor of radius \( 10 \mathrm{~cm} \) has a charge of \( 3.2 \times 10^{-7} \mathrm{C} \) distributed uniformly. What is the magnitude of electric field at a point \( 15 \mathrm{~cm} \) from the centre of the sphere?

\( \left(\frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{C}^{2}\right) \).

[NEET 2020]

A uniformly charged disc of radius \(R\) having surface charge density \(\sigma\) is placed in the \(x y\) plane with its center at the origin. Find the electric field intensity along the z-axis at a distance \(Z\) from origin:

Consider the force \(F\) on a charge ' \(q\) ' due to a uniformly charged spherical shell of radius \(R\) carrying charge \(Q\) distributed uniformly over it. Which one of the following statements is true for \(F\), if ' \(q\) ' is placed at distance \(r\) from the center of the shell?

[JEE Main 2020, 6 Sep (Shift 2)]

Two charges each of magnitude \(0.01 C\) and separated by a distance of \(0.4 mm\) constitute an electric dipole. If the dipole is placed in an uniform electric field ' \(\overrightarrow{ E }\) ' of 10 dyne/C making \(30^{\circ}\) angle with \(\overrightarrow{ E }\), the magnitude of torque acting on dipole is

[JEE Main 2023, 13 Apr (Shift 1)]

An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times {10}^{5}{\mathrm{NC}}^{-1}\). It experiences a torque equal to \(4\mathrm{N}\mathrm{m}\). Calculate the magnitude of charge on the dipole, if the dipole length is \(2\mathrm{cm}\).