On the top: 5.00 Ω
On the left side: 2.00 Ω
On the right side: 3.00 Ω
On the bottom: 12.0 V
What is the total current in the circuit? The GUESS process must be used to show your work and receive points.
Givens:
Unknown:
Equation:
Substitution:
Solve:
GUESS method:
Given:
- On the top: 5.00 Ω
- On the left side: 2.00 Ω
- On the right side: 3.00 Ω
- On the bottom: 12.0 V
Unknown:
- Total current in the circuit
Equation:
- Use Ohm's Law: V = I * R
Substitution:
- Calculate the total resistance in the circuit: 1 / Rt = 1 / 5 + 1 / 2 + 1 / 3
= 0.2 + 0.5 + 0.3333
= 1.0333 Ω
- Total voltage in the circuit: V = 12.0 V
Solve:
- Use Ohm's Law: V = I * R
12.0 = I * 1.0333
I = 11.6 A
Therefore, the total current in the circuit is 11.6 A.