A metallic sphere carries an overall positive net charge "S" and has an internal positive point charge "+p" located at its core. What would be the total amount of charges present on the interior face of this sphere?

A parallel plate capacitor has plates with dimensions 15 cm × 15 cm and a charge of ±60 nC as depicted in the figure. A 2.5 g cube hangs freely within the capacitor and is attracted to one of the plates. Determine the charge on the cube.

Two infinite parallel sheets of opposite charge are separated by 25.0 cm. An electron is released from rest at the surface of the negative sheet and reaches the positive sheet 3 μs later. What is the magnitude of the electric field (E) between the two sheets?

The figure below shows two horizontal parallel metal plates with a separation distance d between them. Determine the electric field vectors at points A, B and C if connecting these plates to a battery results in one plate acquiring a uniform charge density of σ₁ = +2σ₀ and the other plate obtaining a uniform charge density of σ₂ = -σ₀.

Alignments that offer zero torque when a dipole lies in an even external electric field are classified as stable and unstable. Identify the stable and unstable alignments. Hint: What is the effect of a slight rotation for an equilibrium alignment?

A group of students construct an electric dipole using two small charged spheres. The dipole is placed in a region where the electric field is uniform. What alignments create zero torque on the dipole? 

A molecule of HCl has a permanent electric dipole moment of 3.5 × 10 ⁻³⁰ C•m. The molecule is exposed to a uniform electric field of strength 1.8 × 10⁸ N/C. Determine the maximum torque that the electric field can exert on the HCl molecule.

In the xy-plane, a rectangular surface is lying with one of its corners at the origin. The surface has dimensions of 15.0 cm parallel to the x-axis and 10.0 cm parallel to the y-axis. The unit vector normal to the surface points in the positive z-direction. An electric field of magnitude (1500/m)y N/C k is applied uniformly over the surface. What is the electric flux through it?

Determine the electric flux passing through five different surfaces (labelled P through T) depicted in the diagram below.