15.
5.00 Ω (on the top)
2.00 Ω (on the left side)
3.00 Ω (on the right side)
12.0 V (on the bottom)
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:
G- I_total
U- 12.0 V
E- 5.00 Ω, 2.00 Ω, 3.00 Ω
Equation: I_total = V_total / R_total
Substitution:
R_total = 1 / (1/5 + 1/2 + 1/3)
R_total = 1 / (0.2 + 0.5 + 0.3333)
R_total = 1 / 1.0333
R_total ≈ 0.967 Ω
V_total = 12.0 V
Solve:
I_total = V_total / R_total
I_total = 12.0 / 0.967
I_total ≈ 12.4 A
Therefore, the total current in the circuit is approximately 12.4 A.