Total resistance R_total = 4Ω + 8Ω = 12Ω. Current I = V/R_total = 12V/12Ω = 1A. Voltage across 8Ω = I * R = 1A * 8Ω = 8V.

Total resistance in series is R_total = R1 + R2 + R3 = 1 + 2 + 3 = 6Ω.

In a series circuit, if one resistor fails, the circuit is broken and the current stops.

According to Ohm's law, I = V/R. If R is doubled, the current I will be halved for a constant voltage V.

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

Adding resistors in parallel decreases the total resistance.

In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 2 + 2 = 6 ohms.

In series, R_eq = R1 + R2 = 10 + 10 = 20Ω.

In series, R_eq = R1 + R2 = 12Ω + 12Ω = 24Ω.

In series, R_eq = R1 + R2 = 8Ω + 12Ω = 20Ω.

In series, R_eq = R1 + R2 = 8Ω + 4Ω = 12Ω.

Power P = I^2 * R = (3A)^2 * 10Ω = 9 * 10 = 90W.

Power P = I^2 * R = (2 A)^2 * 10 Ω = 4 * 10 = 40 W.

Using Ohm's law, I = V/R = 9V / 3Ω = 3 A.

Total resistance R = 10Ω + 5Ω = 15Ω. Current I = V/R = 30V/15Ω = 2A.

Total resistance R = 6 + 6 = 12Ω. Current I = V/R = 12V/12Ω = 1A.

Total resistance R = 3Ω + 3Ω = 6Ω. Current I = V/R = 9V/6Ω = 1.5A.

In parallel circuits, the total current is the sum of the currents in each branch: 2A + 3A = 5A.

In parallel circuits, the total current is the sum of the currents in each branch: 3A + 5A = 8A.

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

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

Using Ohm's law, V = I * R = 4A * 3Ω = 12V.