Given the following circuit R1 R2 R3 R4 V1 V2 V3 V4 If it is known that R1 = 120 and the current I = 1Amp, find the values of, R2, R3, R4, and V to ensure that V1 = 2*V2 = 3*V3 = 4*V4. After you find the Voltage of the Battery and the values of the resistors, R1, R2, R3, and R4, calculate the Equivalent Resistance Req. Write the value of the Req as an Integer

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### Given Circuit

**Description:**

The circuit diagram comprises four resistors (R1, R2, R3, R4) connected in series with a voltage source. Below each resistor is a label indicating the voltage drop across it (V1, V2, V3, V4).

**Task:**

- Given is R1 = 12Ω and the current I = 1 Amp.
- Objective: Determine the values of R2, R3, R4, and total voltage V such that:
  - V1 = 2*V2
  - 2*V2 = 3*V3
  - 3*V3 = 4*V4

**Instructions:**

1. **Calculate the Voltage of the Battery**: Use the relationships among V1, V2, V3, and V4 to find the total voltage V across the circuit.

2. **Determine the Values of Resistors R2, R3, and R4**: Use Ohm’s Law (V = IR) along with the values obtained for voltages (V1, V2, V3, V4) to find each resistor's value.

3. **Calculate the Equivalent Resistance (Req)**: 
   - Req = R1 + R2 + R3 + R4
   - Express Req as an integer.

By following these steps, you'll find all necessary values to describe the circuit's behavior under the given conditions.
Transcribed Image Text:### Given Circuit **Description:** The circuit diagram comprises four resistors (R1, R2, R3, R4) connected in series with a voltage source. Below each resistor is a label indicating the voltage drop across it (V1, V2, V3, V4). **Task:** - Given is R1 = 12Ω and the current I = 1 Amp. - Objective: Determine the values of R2, R3, R4, and total voltage V such that: - V1 = 2*V2 - 2*V2 = 3*V3 - 3*V3 = 4*V4 **Instructions:** 1. **Calculate the Voltage of the Battery**: Use the relationships among V1, V2, V3, and V4 to find the total voltage V across the circuit. 2. **Determine the Values of Resistors R2, R3, and R4**: Use Ohm’s Law (V = IR) along with the values obtained for voltages (V1, V2, V3, V4) to find each resistor's value. 3. **Calculate the Equivalent Resistance (Req)**: - Req = R1 + R2 + R3 + R4 - Express Req as an integer. By following these steps, you'll find all necessary values to describe the circuit's behavior under the given conditions.
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