Multiple-Concept Example 2 discusses the concepts that are used in this problem. In the drawing the magnetic field has a magnitude of 1.01 T, the rod has a length of 0.939 m, and the hand keeps the rod moving to the right at a constant speed of 4.78 m/s. If the current in the circuit is 0.0581 A, what is the average power being delivered to the circuit by the hand? 7 X x X X X X X X x X X hand hand X X X T Number i Units X X X X 7 X x X X

College Physics
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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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### Educational Website Transcription

**Problem Explanation:**

**Multiple-Concept Example 2** discusses the concepts that are used in this problem. In the drawing, the magnetic field has a magnitude of 1.01 T, the rod has a length of 0.939 m, and the hand keeps the rod moving to the right at a constant speed of 4.78 m/s. If the current in the circuit is 0.0581 A, what is the average power being delivered to the circuit by the hand?

**Diagram Explanation:**

The provided diagram illustrates the scenario as follows:

1. **Magnetic Field:** The region contains a uniform magnetic field, denoted by `B`, with field lines represented by red crosses (indicating that the magnetic field is directed into the plane of the page).

2. **Rod and Motion:** The rod, moving to the right, is depicted with a length `L` of 0.939 m. An external force, `F_hand`, is applied by the hand to keep the rod moving at a steady speed of 4.78 m/s.

3. **Current and Circuit:** A current, `I`, of 0.0581 A flows in the circuit formed by the rod, the rails (conductors) on which the rod slides, and a connecting wire at the end. The light bulb in the circuit symbolizes a load where electrical energy is consumed.

4. **Forces and Directions:** The direction of the force applied by the hand is shown parallel to the velocity of the rod, `v`. The right-hand rule could be used to determine the direction of the generated current due to the motion of the rod in the magnetic field.

**Question:**
What is the average power being delivered to the circuit by the hand?

**Inputs Required:**

- **Number:** The calculated value for the average power.
- **Units:** Selection of the appropriate unit for power (e.g., Watts).

### Detailed Diagram Explanation:
The diagram features:
- A rectangular path forming the circuit.
- Green shaded regions emphasizing where the magnetic field is applied.
- Markings for the magnetic field direction, velocity of the rod, current, length of the rod, and the force applied by the hand.

This problem combines the principles of electromagnetism and mechanics to understand energy conversion and power delivered in a moving conductor system within a magnetic field.
Transcribed Image Text:### Educational Website Transcription **Problem Explanation:** **Multiple-Concept Example 2** discusses the concepts that are used in this problem. In the drawing, the magnetic field has a magnitude of 1.01 T, the rod has a length of 0.939 m, and the hand keeps the rod moving to the right at a constant speed of 4.78 m/s. If the current in the circuit is 0.0581 A, what is the average power being delivered to the circuit by the hand? **Diagram Explanation:** The provided diagram illustrates the scenario as follows: 1. **Magnetic Field:** The region contains a uniform magnetic field, denoted by `B`, with field lines represented by red crosses (indicating that the magnetic field is directed into the plane of the page). 2. **Rod and Motion:** The rod, moving to the right, is depicted with a length `L` of 0.939 m. An external force, `F_hand`, is applied by the hand to keep the rod moving at a steady speed of 4.78 m/s. 3. **Current and Circuit:** A current, `I`, of 0.0581 A flows in the circuit formed by the rod, the rails (conductors) on which the rod slides, and a connecting wire at the end. The light bulb in the circuit symbolizes a load where electrical energy is consumed. 4. **Forces and Directions:** The direction of the force applied by the hand is shown parallel to the velocity of the rod, `v`. The right-hand rule could be used to determine the direction of the generated current due to the motion of the rod in the magnetic field. **Question:** What is the average power being delivered to the circuit by the hand? **Inputs Required:** - **Number:** The calculated value for the average power. - **Units:** Selection of the appropriate unit for power (e.g., Watts). ### Detailed Diagram Explanation: The diagram features: - A rectangular path forming the circuit. - Green shaded regions emphasizing where the magnetic field is applied. - Markings for the magnetic field direction, velocity of the rod, current, length of the rod, and the force applied by the hand. This problem combines the principles of electromagnetism and mechanics to understand energy conversion and power delivered in a moving conductor system within a magnetic field.
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