8 ΚΩ + + 200 V * Θ )12 ΚΩ ΣΟΔ ΟΔ 200 |iz 39 κΩ Σ3 ΚΩ

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Calculate i1, i2, i∆, and v∆. Show all work please :)

The image shows an electrical circuit diagram with the following components:

1. **Voltage Source:**
   - A 200 V independent voltage source is present on the left side of the circuit.

2. **Resistors:**
   - An 8 kΩ resistor is connected in series with the 200 V source.
   - A 12 kΩ resistor follows, also in series, after the 8 kΩ resistor.

3. **Voltage Controlled Voltage Source (VCVS):**
   - A diamond-shaped symbol represents a VCVS, indicating that the output voltage is controlled by another voltage in the circuit. The label \( \frac{v_{\Delta}}{200} \) signifies that the output voltage is \( \frac{v_{\Delta}}{200} \).
   - The controlled voltage source is connected in the circuit such that it receives \( v_{\Delta} \) across its terminals.

4. **Parallel Resistors:**
   - A 9 kΩ resistor and a 3 kΩ resistor are connected in parallel. Currents \( i_1 \) and \( i_2 \) flow through these resistors, respectively.

5. **Currents and Voltages:**
   - Arrows indicate the direction of current flow: \( i_o \) flows through the entire parallel section to the 9 kΩ and 3 kΩ resistors.
   - The potential difference across the 12 kΩ resistor is labeled \( v_{\Delta} \).

This circuit can be analyzed using techniques such as mesh analysis, nodal analysis, or superposition, taking into account the voltage-controlled source.
Transcribed Image Text:The image shows an electrical circuit diagram with the following components: 1. **Voltage Source:** - A 200 V independent voltage source is present on the left side of the circuit. 2. **Resistors:** - An 8 kΩ resistor is connected in series with the 200 V source. - A 12 kΩ resistor follows, also in series, after the 8 kΩ resistor. 3. **Voltage Controlled Voltage Source (VCVS):** - A diamond-shaped symbol represents a VCVS, indicating that the output voltage is controlled by another voltage in the circuit. The label \( \frac{v_{\Delta}}{200} \) signifies that the output voltage is \( \frac{v_{\Delta}}{200} \). - The controlled voltage source is connected in the circuit such that it receives \( v_{\Delta} \) across its terminals. 4. **Parallel Resistors:** - A 9 kΩ resistor and a 3 kΩ resistor are connected in parallel. Currents \( i_1 \) and \( i_2 \) flow through these resistors, respectively. 5. **Currents and Voltages:** - Arrows indicate the direction of current flow: \( i_o \) flows through the entire parallel section to the 9 kΩ and 3 kΩ resistors. - The potential difference across the 12 kΩ resistor is labeled \( v_{\Delta} \). This circuit can be analyzed using techniques such as mesh analysis, nodal analysis, or superposition, taking into account the voltage-controlled source.
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