Calculate the currents I1, 12, and lz in the following circuit. 18.0 V 5.00 N 8.00 N 12.0 V 11.0 N 7.00 N + W 5.00 N 36.0 V +

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Calculate the currents \( I_1 \), \( I_2 \), and \( I_3 \) in the following circuit.**

The circuit consists of the following components:

1. **Voltage Sources:**
   - 18.0 V (top left, positive at the top)
   - 12.0 V (middle, positive at the bottom)
   - 36.0 V (bottom right, positive at the bottom)

2. **Resistors:**
   - 5.00 Ω: connected in series with \( I_1 \) on the top right
   - 8.00 Ω: connected vertically on the left
   - 11.0 Ω: connected in series with \( I_2 \) on the left
   - 7.00 Ω: connected horizontally in the middle right
   - 5.00 Ω: connected in series with \( I_3 \) on the bottom left

3. **Currents:**
   - \( I_1 \): flows from the left side of the 18.0 V source through the 5.00 Ω resistor to the right
   - \( I_2 \): flows downward through the 11.0 Ω resistor
   - \( I_3 \): flows to the right through the 5.00 Ω resistor at the bottom

**Circuit Configuration:**
- The currents \( I_1 \), \( I_2 \), and \( I_3 \) are to be determined in the sections of the circuit as described above. The circuit forms a loop with intersecting branches and involves multiple resistors and voltage sources that are configured in a mixed series-parallel arrangement.
Transcribed Image Text:**Calculate the currents \( I_1 \), \( I_2 \), and \( I_3 \) in the following circuit.** The circuit consists of the following components: 1. **Voltage Sources:** - 18.0 V (top left, positive at the top) - 12.0 V (middle, positive at the bottom) - 36.0 V (bottom right, positive at the bottom) 2. **Resistors:** - 5.00 Ω: connected in series with \( I_1 \) on the top right - 8.00 Ω: connected vertically on the left - 11.0 Ω: connected in series with \( I_2 \) on the left - 7.00 Ω: connected horizontally in the middle right - 5.00 Ω: connected in series with \( I_3 \) on the bottom left 3. **Currents:** - \( I_1 \): flows from the left side of the 18.0 V source through the 5.00 Ω resistor to the right - \( I_2 \): flows downward through the 11.0 Ω resistor - \( I_3 \): flows to the right through the 5.00 Ω resistor at the bottom **Circuit Configuration:** - The currents \( I_1 \), \( I_2 \), and \( I_3 \) are to be determined in the sections of the circuit as described above. The circuit forms a loop with intersecting branches and involves multiple resistors and voltage sources that are configured in a mixed series-parallel arrangement.
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