5.00 Ω
2.00 Ω
3.00 Ω
12.0 V
What is the total current in the circuit pictured above? You must use the GUESS process to show all of your work.
Givens:
Unknown:
Equation:
Substitution:
Solve:
Givens:
Resistance 1 (R1) = 5.00 Ω
Resistance 2 (R2) = 2.00 Ω
Resistance 3 (R3) = 3.00 Ω
Voltage (V) = 12.0 V
Unknown:
Total current (I)
Equation:
Ohm's Law: V = I*R
Substitution:
1. Calculate the total resistance (Rtotal) in the circuit:
Rtotal = R1 + R2 + R3
Rtotal = 5.00 Ω + 2.00 Ω + 3.00 Ω
Rtotal = 10.00 Ω
2. Substitute the values into Ohm's Law to solve for total current (I):
V = I*Rtotal
I = V / Rtotal
I = 12.0 V / 10.00 Ω
I = 1.20 A
Solve:
The total current in the circuit is 1.20 A.