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5 votes
VT=?, IT= ?, R+= 53.00 Ohms

V₁= 36.00 V, I₁= ?, R₁ = ?
V₂= ?, 12= ?,
R₂ = 8.00 Ohms
V3= ?, 13= ?, R3= 10.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the resistance of resistor 1 labeled as (R1)?
(Pick from the following units: V, A, and Ohms)

User Kristen
by
7.2k points

1 Answer

2 votes

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

User Steve Hatcher
by
7.3k points