I₁ 1 O 1mA Is R1 3ΚΩ 2 13 R4 0 I2 R3 ΣΙΚΩ 5 10Ι1 1.5kΩ R2 5ΚΩ 20 V Ξ V1

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find the voltage across each resistor using super position theorem

The image illustrates an electrical circuit schematic, which includes various components and paths for current flow. Here is a detailed explanation:

### Components:
- **Current Source (Is):** Supplies a constant current of 1 mA.
- **Resistors:**
  - **R1:** 3 kΩ
  - **R2:** 5 kΩ
  - **R3:** 1 kΩ
  - **R4:** 1.5 kΩ
- **Voltage Source (V1):** Provides a constant voltage of 20 V.

### Circuit Nodes:
- **Node 1:** The starting point for current I1 from the current source.
- **Node 2:** The point between R1 and R2.
- **Node 3:** The positive terminal of the 20 V voltage source.
- **Node 4:** Between R3 and the dependent current source.
- **Node 5:** Between the dependent source and R4.
- **Node 0 (Ground):** Reference point for the circuit.

### Currents:
- **I1:** Current flowing through R1.
- **I2:** Current flowing through R2.
- **I3:** Current flowing through R3.

### Dependent Source:
- This is a dependent current source, represented as 10I1, indicating that its current is 10 times the current I1.

### Current Flow:
1. **I1** enters the circuit and passes through R1.
2. At node 2, part of I1 becomes I2, flowing through R2 in the loop including the voltage source (20 V).
3. From node 2 to node 4, current I3 flows downward through R3 toward the dependent source.
4. The dependent source affects current flow at node 5, contributing to the overall circuit dynamics.

This schematic illustrates a linear circuit with both independent and dependent sources, highlighting principles of circuit theory such as Kirchhoff’s laws and Ohm’s law.
Transcribed Image Text:The image illustrates an electrical circuit schematic, which includes various components and paths for current flow. Here is a detailed explanation: ### Components: - **Current Source (Is):** Supplies a constant current of 1 mA. - **Resistors:** - **R1:** 3 kΩ - **R2:** 5 kΩ - **R3:** 1 kΩ - **R4:** 1.5 kΩ - **Voltage Source (V1):** Provides a constant voltage of 20 V. ### Circuit Nodes: - **Node 1:** The starting point for current I1 from the current source. - **Node 2:** The point between R1 and R2. - **Node 3:** The positive terminal of the 20 V voltage source. - **Node 4:** Between R3 and the dependent current source. - **Node 5:** Between the dependent source and R4. - **Node 0 (Ground):** Reference point for the circuit. ### Currents: - **I1:** Current flowing through R1. - **I2:** Current flowing through R2. - **I3:** Current flowing through R3. ### Dependent Source: - This is a dependent current source, represented as 10I1, indicating that its current is 10 times the current I1. ### Current Flow: 1. **I1** enters the circuit and passes through R1. 2. At node 2, part of I1 becomes I2, flowing through R2 in the loop including the voltage source (20 V). 3. From node 2 to node 4, current I3 flows downward through R3 toward the dependent source. 4. The dependent source affects current flow at node 5, contributing to the overall circuit dynamics. This schematic illustrates a linear circuit with both independent and dependent sources, highlighting principles of circuit theory such as Kirchhoff’s laws and Ohm’s law.
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