12 13 V R1 R2 R3 R4 10 V 470 ohm 680 ohm 820 ohm 1.0 kohm Figure 4.1: DC Parallel Circuit ven the parallel circuit in Figure 4.1, calculate the total equivalent resistance RT of th cuit. RT = Ω
12 13 V R1 R2 R3 R4 10 V 470 ohm 680 ohm 820 ohm 1.0 kohm Figure 4.1: DC Parallel Circuit ven the parallel circuit in Figure 4.1, calculate the total equivalent resistance RT of th cuit. RT = Ω
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
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![### Figure 4.1: DC Parallel Circuit
#### Educational Description:
The diagram in Figure 4.1 depicts a DC parallel circuit. This circuit is composed of a voltage source (V) of 10 volts, and four resistors (R1, R2, R3, and R4) connected in parallel. Each resistor has its respective resistance value:
- **R1 = 470 ohms**
- **R2 = 680 ohms**
- **R3 = 820 ohms**
- **R4 = 1.0 k ohms (1000 ohms)**
### Key Components:
- **Voltage Source (V):** A 10V power supply providing the electrical energy necessary for the circuit to function.
- **Resistors (R1, R2, R3, R4):** Resistors with specific resistance values, connected in parallel to the voltage source.
- **Currents (I1, I2, I3, I4):** The currents flowing through each resistor.
### Task:
Given the parallel circuit in Figure 4.1, the objective is to calculate the total equivalent resistance \( R_T \) of the circuit.
### Formula:
For resistors connected in parallel, the total equivalent resistance \( R_T \) can be calculated using the formula:
\[ \frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
Once the right-hand side is computed, take the reciprocal to find \( R_T \).
### Calculation:
\[ R_T = \, \_\_\_\_\_\_ \Omega \]
Use this formula and calculation method to find the total equivalent resistance of the circuit presented.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57c5c9b-acb3-4a3d-a39b-55eeff7ee4ad%2F0f851837-1313-47f8-b3fa-1c3252921728%2Fwrqqa9q_processed.png&w=3840&q=75)
Transcribed Image Text:### Figure 4.1: DC Parallel Circuit
#### Educational Description:
The diagram in Figure 4.1 depicts a DC parallel circuit. This circuit is composed of a voltage source (V) of 10 volts, and four resistors (R1, R2, R3, and R4) connected in parallel. Each resistor has its respective resistance value:
- **R1 = 470 ohms**
- **R2 = 680 ohms**
- **R3 = 820 ohms**
- **R4 = 1.0 k ohms (1000 ohms)**
### Key Components:
- **Voltage Source (V):** A 10V power supply providing the electrical energy necessary for the circuit to function.
- **Resistors (R1, R2, R3, R4):** Resistors with specific resistance values, connected in parallel to the voltage source.
- **Currents (I1, I2, I3, I4):** The currents flowing through each resistor.
### Task:
Given the parallel circuit in Figure 4.1, the objective is to calculate the total equivalent resistance \( R_T \) of the circuit.
### Formula:
For resistors connected in parallel, the total equivalent resistance \( R_T \) can be calculated using the formula:
\[ \frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} \]
Once the right-hand side is computed, take the reciprocal to find \( R_T \).
### Calculation:
\[ R_T = \, \_\_\_\_\_\_ \Omega \]
Use this formula and calculation method to find the total equivalent resistance of the circuit presented.
![Using Kirchhoff’s Current Law and Ohm’s Law, analyze the circuit recording the following:
| I₁ | I₂ | I₃ | I₄ | I₅ |
|----|----|----|----|----|
|__ A|__ A|__ A|__ A|__ A|
Add the values from Step 2 together:
\[I_S = I_1 + I_2 + I_3 + I_4 = \_\_\_\_\_\_ A\]
Is the sum from Step 3 equal to \(I_S\) evaluated in Step 2? \_\_\_\_\_\_\_ (YES or NO)
Explain your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57c5c9b-acb3-4a3d-a39b-55eeff7ee4ad%2F0f851837-1313-47f8-b3fa-1c3252921728%2Fyycws9_processed.png&w=3840&q=75)
Transcribed Image Text:Using Kirchhoff’s Current Law and Ohm’s Law, analyze the circuit recording the following:
| I₁ | I₂ | I₃ | I₄ | I₅ |
|----|----|----|----|----|
|__ A|__ A|__ A|__ A|__ A|
Add the values from Step 2 together:
\[I_S = I_1 + I_2 + I_3 + I_4 = \_\_\_\_\_\_ A\]
Is the sum from Step 3 equal to \(I_S\) evaluated in Step 2? \_\_\_\_\_\_\_ (YES or NO)
Explain your answer.
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