1. What are the magnitude and direction of the current in the 20 Q resistor in the circuit diagram? ww 10 Ω 9.0V 6.0 V 20 Ω ww

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Educational Worksheet

#### Question
1. What are the magnitude and direction of the current in the 20 Ω resistor in the circuit diagram?

#### Circuit Diagram Explanation

The circuit diagram depicts a simple electrical circuit that consists of the following components:

- **Resistors**: Two resistors labeled as 10 Ω (ohms) and 20 Ω (ohms).
- **Voltage Sources**: Two voltage sources labeled as 9.0 V (volts) and 6.0 V (volts).

**Arrangement**: 
- The 10 Ω resistor is connected in series with the 9.0 V battery.
- The 20 Ω resistor is connected in parallel with the 10 Ω resistor and in series with the 6.0 V battery.

**Direction of Current**:
- The current flow direction can be analyzed using Kirchhoff's circuit laws, where the current will split at the junction between the two resistors due to the parallel arrangement, and the overall direction of the current is relative to the positive and negative terminals of the batteries.

By analyzing and solving the electrical relationships in the circuit, such as using Ohm's law and Kirchhoff's rules, students are expected to determine the magnitude (in amperes) and direction of the current in the 20 Ω resistor.

Note: The exact analysis and calculation steps involve applying Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL), along with solving simultaneous equations.
Transcribed Image Text:### Educational Worksheet #### Question 1. What are the magnitude and direction of the current in the 20 Ω resistor in the circuit diagram? #### Circuit Diagram Explanation The circuit diagram depicts a simple electrical circuit that consists of the following components: - **Resistors**: Two resistors labeled as 10 Ω (ohms) and 20 Ω (ohms). - **Voltage Sources**: Two voltage sources labeled as 9.0 V (volts) and 6.0 V (volts). **Arrangement**: - The 10 Ω resistor is connected in series with the 9.0 V battery. - The 20 Ω resistor is connected in parallel with the 10 Ω resistor and in series with the 6.0 V battery. **Direction of Current**: - The current flow direction can be analyzed using Kirchhoff's circuit laws, where the current will split at the junction between the two resistors due to the parallel arrangement, and the overall direction of the current is relative to the positive and negative terminals of the batteries. By analyzing and solving the electrical relationships in the circuit, such as using Ohm's law and Kirchhoff's rules, students are expected to determine the magnitude (in amperes) and direction of the current in the 20 Ω resistor. Note: The exact analysis and calculation steps involve applying Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL), along with solving simultaneous equations.
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