Answer: R1 is 52.94 Ohms.
Step-by-step explanation:
To determine the current and resistance values for each resistor, utilize Ohm's Law.
R+ = 53.00 Ohms is the total resistance.
IT = VT/R+ = 36.00V/53.00 Ohms = 0.68 A is the total current.
I1 = V1/R1, the current flowing through resistor 1.
V2 = I2 * R2 = 12A * 8 Ohms = 96 V is the voltage across resistor 2.
V3 = I3 * R3 = 13A * 10 Ohms = 130 V is the voltage across resistor number three.
You currently possess all the values required to solve for R1. You can apply Ohm's Law once more:
V1 = I1 * R1 Resistor = V1 / I1 36.00 V / 0.68 A 52.94 Ohms