Determine the distribution of currents and voltages in each resistor if R1 = 60 Ohm, R2 = 25 Ohm

Determine the distribution of currents and voltages in each resistor if R1 = 60 Ohm, R2 = 25 Ohm, R3 = 70 Ohm. The voltage in the circuit is 48 V. (R2 and R3 are connected in parallel, and R1 is in series with them)

Resistance of parallel connection of resistors R2 and R3

1 / Rp = 1 / R2 + 1 / R3;

Rp = (R2 * R3) / (R2 + R3) = 25 * 70/95 = 18.42 Ohm.

Circuit current

I1 = U / (Rp + R1) = 48 / (60 + 18.42) = 0.61 A.

Voltage at R1

U1 = I * R1 = 0.61 * 60 = 36.6 V.

Voltage across R2 and R3

Uп = U – U1 = 48 – 36.6 = 11.4 V.

Currents in R2 and R3

I2 = Up / R2 = 11.4 / 25 = 0.46 A;

I3 = Up / R3 = 11.4 / 70 = 0.16 A.

Answer: the voltage across the resistors is 36.6 V; 11.4V; 11.4 V, currents 0.61 A; 0.46 A; 0.16 A.