V = E * d = 5 N/C * 3 m = 15 V.

V = E * d = 500 N/C * 4 m = 2000 V.

U = 1/2 * C * V² = 1/2 * 8 x 10^-6 F * (12 V)² = 0.48 mJ.

Power (P) is given by P = I^2 * R = (3A)^2 * 10Ω = 90W.

Power (P) = I^2 * R = (2 A)^2 * 8 Ω = 16 W.

Ohm's Law states that current is equal to voltage divided by resistance, I = V / R.

The relationship between the charge and the voltage across a capacitor is given by Q = C*V, where C is the capacitance.

According to Ohm's Law, the relationship is V = I * R.

According to Ohm's Law, the relationship is V = I * R and R = V/I, so both A and C are correct.

The time constant τ in an RC circuit is given by τ = R * C, where R is the resistance and C is the capacitance.

The time constant τ of an RC circuit is given by the product of resistance and capacitance, τ = R * C.

Time constant τ = R * C = 5000Ω * 10 x 10^-6 F = 0.05 s.

Total capacitance C_total = 1 / (1/C₁ + 1/C₂) = 1 / (1/4 + 1/6) = 2.4 µF.

In parallel, C_eq = C1 + C2 = 4 µF + 6 µF = 10 µF.

1/C_eq = 1/C1 + 1/C2 = 1/4 + 1/6 = 5/12, thus C_eq = 12/5 = 2.4 µF.

1/C_total = 1/C1 + 1/C2 = 1/4 + 1/6. C_total = 2.4 µF.

For capacitors in series, 1/C_eq = 1/C1 + 1/C2, so 1/C_eq = 1/4 + 1/6 = 5/12, thus C_eq = 2.4μF.

Using Ohm's Law: I = V / R = 12 V / 4 Ω = 3 A.

Total resistance R = R1 + R2 = 8Ω + 4Ω = 12Ω. Current I = V/R = 24V / 12Ω = 2 A.

In a parallel circuit, total current I_total = I1 + I2 = 2A + 3A = 5A.

First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4Ω. Then, I = V / R_eq = 12V / 2.4Ω = 5A.

U = 0.5 * C * V^2 = 0.5 * (10 x 10^-6 F) * (20 V)^2 = 0.02 J.

1/Rtotal = 1/R1 + 1/R2 = 1/5 + 1/10. Rtotal = 3.33 Ω.

1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/3 + 1/6 + 1/12. R_eq = 2 Ω.

1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. R_eq = 0.75Ω.

In series, R_total = R1 + R2 + R3 = 2 Ω + 3 Ω + 5 Ω = 10 Ω.

Total voltage V = V1 + V2 = 9V + 9V = 18 V.

The unit of electric potential difference is the Volt (V).

Using Ohm's law, V = I * R = 2 A * 10 Ω = 20 V.

Using Ohm's law, V = I * R = 3 A * 10 Ω = 30 V.