Physics Electrostatic Potential and Capacitance

The truth table for the given logic circuit is:

An electric dipole is placed as shown in the figure

The electric potential (in $102\mathrm{V}$ ) at point $\mathrm{P}$ due to the dipole is $\left({?}_0=\right.$ permittivity of free space and $\left.\frac{1}{4\pi {?}_0}=K\right)$  :

The angle between the electric lines of forces and the equipotential surface is

The equivalent capacitance of the system shown in the following circuit is:

An infinite number of point charges, each carrying 1 μC charge, are placed along y-axis at y = 1 m, 2 m, 4 m, 8 m, . The total force on a 1 C point charge, placed at the origin is x*10³ N. The value of x, to the nearest integer, is.
[Take 1/(4πε?) = 9*10⁹ Nm²/C²]

The electric field in a region is given by E⃗ = (2/5)E₀ î + (3/5)E₀ ĵ with E₀ = 4.0 * 10³ N/C. The flux of this field through a rectangular surface area 0.4m² parallel to the Y-Z plane is _____ Nm²C⁻¹.

A 2 µF capacitor C₁ is first charged to a potential difference of 10V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor C₂ of 8 µF. The charge in C₂ on equilibrium condition is --------- µC. (Round off to the Nearest integer)

Four identical rectangular plates with length, l = 2cm and breadth, b = 3/2 cm are arranged as shown in figure. The equivalent capacitance between A and C is xε₀A/d. The value of x is ----------. (Round off to the nearest integer)

A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12V between its plates. The charging battery is now disconnected and a porcelain plate with k = 7 is inserted between the plates, then the plate would oscillate back and forth between the plates with a constant mechanical energy of . pJ. (Assume no friction)

Two capacitors of capacitances C and 2C are charged to potential differences V and 2 V, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is: