Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Current Division Method
The generalized current divider formula is given by the following relation below,
Question
**Title: Calculating Circuit Current** Calculate the current from Vs and the current going to Ground (bottom of the diagram) for the following circuit. Use the following parameters for the circuit: - Vs = 10 V - R1 = 470 ohms - Vf for D1 and D2 = 2.1 V - R2 = 110 ohms Show your calculations. **Diagram Explanation:** - The circuit diagram consists of a voltage source (Vs) at the top. - There are two resistors: R1 and R2. R1 is positioned before any diodes, and R2 is after. - Two diodes, D1 and D2, are connected in series between the resistors. - The circuit concludes with a ground connection at the bottom. **Instructions for Calculation:** To calculate the current through the circuit, consider these steps: 1. **Determine Total Voltage Drop Needed for Diodes:** - Each diode has a forward voltage (Vf) of 2.1 V. - Total Vf for both diodes = 2 * 2.1 V = 4.2 V. 2. **Calculate Voltage Drop Across Resistors:** - Vs provides 10 V. - Voltage left for R1 and R2 = Vs - Total Vf = 10 V - 4.2 V = 5.8 V. 3. **Calculate Total Resistance:** - Add R1 and R2: Total resistance (Rt) = R1 + R2 = 470 ohms + 110 ohms = 580 ohms. 4. **Use Ohm’s Law to Calculate Current (I):** - I = Voltage across resistors / Total resistance = 5.8 V / 580 ohms. Through this process, students can find the current from Vs and the current flowing to the ground.
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Transcribed Image Text:**Title: Calculating Circuit Current** Calculate the current from Vs and the current going to Ground (bottom of the diagram) for the following circuit. Use the following parameters for the circuit: - Vs = 10 V - R1 = 470 ohms - Vf for D1 and D2 = 2.1 V - R2 = 110 ohms Show your calculations. **Diagram Explanation:** - The circuit diagram consists of a voltage source (Vs) at the top. - There are two resistors: R1 and R2. R1 is positioned before any diodes, and R2 is after. - Two diodes, D1 and D2, are connected in series between the resistors. - The circuit concludes with a ground connection at the bottom. **Instructions for Calculation:** To calculate the current through the circuit, consider these steps: 1. **Determine Total Voltage Drop Needed for Diodes:** - Each diode has a forward voltage (Vf) of 2.1 V. - Total Vf for both diodes = 2 * 2.1 V = 4.2 V. 2. **Calculate Voltage Drop Across Resistors:** - Vs provides 10 V. - Voltage left for R1 and R2 = Vs - Total Vf = 10 V - 4.2 V = 5.8 V. 3. **Calculate Total Resistance:** - Add R1 and R2: Total resistance (Rt) = R1 + R2 = 470 ohms + 110 ohms = 580 ohms. 4. **Use Ohm’s Law to Calculate Current (I):** - I = Voltage across resistors / Total resistance = 5.8 V / 580 ohms. Through this process, students can find the current from Vs and the current flowing to the ground.
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