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+ R1 R2 10 V 수 V. = 3 V

+ R1 R2 10 V 수 V. = 3 V

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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How do yo find Vo for this problem? And the current?

### Circuit Diagram Explanation This image represents a simple electrical circuit involving resistors, batteries, and a voltage across a point in the circuit. #### Components: 1. **Batteries:** - There are two batteries in the circuit. - The first battery on the left provides a voltage of 10 volts (10 V). - The second battery on the right provides a voltage of 3 volts (3 V). 2. **Resistors:** - The circuit includes two resistors. - Resistor \(R_1\) has a resistance of 4 ohms (4 Ω). - Resistor \(R_2\) has a resistance of 3 ohms (3 Ω). 3. **Voltage Measurement:** - \(V_0\) represents the potential difference across the two resistors. It is marked with positive (+) and negative (-) polarity indications. 4. **Current Flow:** - The direction of current flow is indicated by arrows in a clockwise loop around the circuit. #### Circuit Description: The circuit is a series configuration where the batteries and resistors are connected end-to-end in a single loop. The total voltage is the sum of the individual voltages from the batteries. The resistors share this total voltage, which is divided based on their resistances according to Ohm’s Law. This diagram is typically used in educational contexts to demonstrate the principles of series circuits, voltage division, and basic electricity concepts such as Kirchhoff’s Voltage Law (KVL), which states that the total voltage around a closed loop must equal the sum of the voltage drops within the same loop.
Transcribed Image Text:### Circuit Diagram Explanation This image represents a simple electrical circuit involving resistors, batteries, and a voltage across a point in the circuit. #### Components: 1. **Batteries:** - There are two batteries in the circuit. - The first battery on the left provides a voltage of 10 volts (10 V). - The second battery on the right provides a voltage of 3 volts (3 V). 2. **Resistors:** - The circuit includes two resistors. - Resistor \(R_1\) has a resistance of 4 ohms (4 Ω). - Resistor \(R_2\) has a resistance of 3 ohms (3 Ω). 3. **Voltage Measurement:** - \(V_0\) represents the potential difference across the two resistors. It is marked with positive (+) and negative (-) polarity indications. 4. **Current Flow:** - The direction of current flow is indicated by arrows in a clockwise loop around the circuit. #### Circuit Description: The circuit is a series configuration where the batteries and resistors are connected end-to-end in a single loop. The total voltage is the sum of the individual voltages from the batteries. The resistors share this total voltage, which is divided based on their resistances according to Ohm’s Law. This diagram is typically used in educational contexts to demonstrate the principles of series circuits, voltage division, and basic electricity concepts such as Kirchhoff’s Voltage Law (KVL), which states that the total voltage around a closed loop must equal the sum of the voltage drops within the same loop.
Expert Solution
Step 1

According to Kirchhoff's voltage law, the total voltage in any closed loop is zero. 

Let the current in the circuit is I. Applying Kirchhoff's voltage law in the loop,

10 V - IR1 - IR2 - 3 V = 0⇒10 V - 4 ΩI - 3 ΩI - 3 V = 0⇒7 ΩI = 7 V⇒I = 7 V7 Ω⇒I = 1 A

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