Physics – 4.3.2 Series and parallel circuits | e-Consult
4.3.2 Series and parallel circuits (1 questions)
Login to see all questions.
Click on a question to view the answer
Solution:
- Calculate the equivalent resistance (Req) of the parallel circuit:
1/Req = 1/R1 + 1/R2
1/Req = 1/4Ω + 1/8Ω = 3/8Ω
Req = 8/3Ω ≈ 2.67Ω
- Calculate the total current (Itotal) from the battery using Ohm's Law (V = IR):
Itotal = V / Req
Itotal = 9V / (8/3Ω) = 27/8 A = 3.375 A
- Calculate the current through R1 (I1) using Ohm's Law:
I1 = V / R1
I1 = 9V / 4Ω = 2.25 A
- Calculate the current through R2 (I2) using Ohm's Law:
I2 = V / R2
I2 = 9V / 8Ω = 1.125 A
Answers: Total current = 3.375 A, Current through R1 = 2.25 A, Current through R2 = 1.125 A