The electric field inside a uniformly charged sphere is zero.

The electric field inside a charged conductor in electrostatic equilibrium is zero.

The total electric flux through a closed surface is given by Φ = ΣQ_enc/ε₀, where Q_enc is the total charge enclosed.

According to Gauss's law, the total electric flux through a closed surface is proportional to the total charge enclosed.

The electric field due to a point charge varies as E = kQ/r², where k is a constant.

The electric field outside a spherical charge distribution behaves as if all the charge were concentrated at the center, so E = Q/4πε₀r².

For r > R, the electric field behaves as if all the charge were concentrated at the center, given by E = Q/(4πε₀r²).

Using Gauss's law, the electric field due to an infinite plane sheet of charge is E = σ/2ε₀ on either side of the sheet.

The electric field due to an infinite plane sheet of charge is constant and given by E = σ/2ε₀ on either side of the sheet.

The charge (Q) on a capacitor is given by Q = C * V. Here, Q = 10 µF * 5 V = 50 µC.

When a charged capacitor is short-circuited, the charge flows through the circuit, and the charge on the capacitor becomes zero.

When connected in parallel, charge redistributes, and the final voltage across both capacitors will be V/2.

The time constant τ of an RC circuit is given by τ = R * C.

Short-circuiting a capacitor allows charge to flow off, resulting in the charge becoming zero.

When a capacitor is short-circuited, the stored energy is dissipated as heat in the circuit.

In a DC circuit, the current through a capacitor decreases to zero as it becomes fully charged.

In an AC circuit, the current through a capacitor leads the voltage by 90 degrees.

When a charged capacitor is short-circuited, the stored energy is released as heat due to the current flow.

When a capacitor is fully discharged and connected to a voltage source, the initial current is maximum as it starts charging.

Charge (Q) on a capacitor is given by Q = C * V. Here, Q = 4μF * 12V = 48μC.

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.

The charge (Q) on a capacitor is given by Q = CV when connected to a voltage source V.

The charge (Q) stored in a capacitor is given by the formula Q = C * V.

F = qE = (3 × 10^-6 C) * (2000 N/C) = 6 × 10^-3 N = 6000 N.

F = q * E = (3 × 10^-6 C) * (1000 N/C) = 3 × 10^-3 N = 3000 N.

Force F = qE = (3 × 10^-6 C) * (2000 N/C) = 6000 N.

F = q * E = (3 × 10^-6 C) * (500 N/C) = 1500 N.

F = q * E = 4 × 10^-6 C * 500 N/C = 2 N.

The total flux through the cube is Q/ε₀. Since the charge is at one corner, the flux through one face is Q/6ε₀.

The total electric flux through the cube is Q/ε₀, but since only 1/6 of the charge is enclosed by the cube, the flux is Q/6ε₀.