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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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.
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.
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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