### DescriptionThe L-shaped conductor in Figure 1 moves at a velocity of 10 m/s across a stationary L-shaped conductor within a magnetic field of 0.10 T. Initially, both vertices overlap, resulting in an enclosed area of zero at time $ t = 0 $ seconds. The conductor offers a resistance of 0.010 ohms per meter.### Diagram ExplanationThe diagram illustrates two L-shaped conductors. One conductor is stationary, while the other moves at 10 m/s. The magnetic field ($ B $) is represented by blue dots, indicating a magnitude of 0.10 T. The stationary conductor is oriented vertically and horizontally, while the moving conductor's path is diagonal, as indicated by a green arrow. The setup demonstrates the interaction between the conductor's motion and the magnetic field. **Part B****Problem Statement:**Find an expression for the induced electromotive force (emf) as a function of time, where time $ t $ is in seconds.**Instructions:**Express your answer in terms of $ t $. Ensure that the coefficients are represented using two significant figures.**Input Section:**- An interactive input box is provided for the answer in the form $ \mathcal{E}(t) = $ with units in volts (V).**Tools and Options:**- A set of editing tools is available above the input box: - **Math symbols and Greek letters** for complex expressions. - **Undo and redo options** for editing changes. - **Clear input option** to reset the field if needed.**Actions:**- **Submit Button:** Click to submit your answer.- **Request Answer Link:** Click to seek additional assistance or hints.

Answered: Image /qna-images/answer/00126e55-264d-449b-94e9-27f850fbb8bf.jpg

Answered: Find an expression for the induced emf…

Find an expression for the induced emf as a function of time, where time t is in s. Express your answer in terms of t. Express the coefficients using two significant figures.

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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Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

### Description

The L-shaped conductor in Figure 1 moves at a velocity of 10 m/s across a stationary L-shaped conductor within a magnetic field of 0.10 T. Initially, both vertices overlap, resulting in an enclosed area of zero at time $ t = 0 $ seconds. The conductor offers a resistance of 0.010 ohms per meter.

### Diagram Explanation

The diagram illustrates two L-shaped conductors. One conductor is stationary, while the other moves at 10 m/s. The magnetic field ($ B $) is represented by blue dots, indicating a magnitude of 0.10 T. The stationary conductor is oriented vertically and horizontally, while the moving conductor's path is diagonal, as indicated by a green arrow. The setup demonstrates the interaction between the conductor's motion and the magnetic field.

**Part B**

**Problem Statement:**

Find an expression for the induced electromotive force (emf) as a function of time, where time $ t $ is in seconds.

**Instructions:**

Express your answer in terms of $ t $. Ensure that the coefficients are represented using two significant figures.

**Input Section:**

- An interactive input box is provided for the answer in the form $ \mathcal{E}(t) = $ with units in volts (V).

**Tools and Options:**

- A set of editing tools is available above the input box:
- **Math symbols and Greek letters** for complex expressions.
- **Undo and redo options** for editing changes.
- **Clear input option** to reset the field if needed.

**Actions:**

- **Submit Button:** Click to submit your answer.
- **Request Answer Link:** Click to seek additional assistance or hints.

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