Resistors with resistances of 3 kΩ and 6 kΩ are connected in parallel.

Resistors with resistances of 3 kΩ and 6 kΩ are connected in parallel. What is the resistance of the circuit? What is the voltage across the resistors if the current in the circuit is 3 mA?

R1 = 3kΩ = 3000Ω.

R2 = 6kΩ = 63000Ω.

I = 13 mA = 0.003 A.

U1 -?

U2 -?

R -?

The resistance of the entire circuit R is found by the resistance formula for parallel connection: R = R1 * R2 / (R1 + R2).

R = 3000 Ohm * 6000 Ohm / (3000 Ohm + 6000 Ohm) = 2000 Ohm.

We find the voltage in the entire circuit according to Ohm’s law for a section of the circuit: U = I * R.

U = 0.003 A * 2000 Ohm = 6 V.

Since for parallel connection the voltage across the resistors is the same: U = U1 = U2, then U = U1 = U2 = 6 V.

Answer: U1 = U2 = 6 V, R = 2000 ohms.