### 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)...

See similar textbooks

Related questions

Q: Which quantity must be zero?

Q: In the circuit of the figure below, the battery emf is 55 V, the resistance R is 150 2, and the…

Q: What percentage of the final current I0 flows through an inductor L in series with a resistor R,

Q: You want to design a linear motor that can deliver 1 hp at a steady bar velocity of 20 m/s. The flux…

Q: What are the impedance Z and the rms voltage across resistor if R = 80 Q, L=0.20 H, C = 20 µF, and V…

Q: A small, rectangular single loop of wire with dimensions l, and a is placed, as shown below, in the…

A: Given: Single loop of wire with dimensions = L The plane of a much larger, rectangular single loop…

Q: Problem 3: A device is turned on and the current increases from 0 to 4.75 A in 0.075 ms later.…

Q: E The alternating current in an electric inductor is 1 = where E is voltage and Z= R + X₁i is…

A: Given Data: Current equation (I) = EZ.Voltage (E) = 7(cos(30o)+i sin(30o)).Impedance (Z) = R+XL i.R…

Q: 800hz ac signal at 10 v is connect across a Rl circuit consisting of a 300omh resistor a 80milliH…

A: Given: Frequency of Ac signal, f = 800Hz Peak voltage, Vp = 10 V Resistance, R = 300 Ohms…

Q: n employee of yours approaches you about an issue with the time it takes to reach a steady current…

Q: Please don't provide handwritten solution...

Q: A series circuit has a capacitor of 0.1 · 10-6 F and an inductor of 2.5 H. If the initial charge on…

A: The capacitance if the capacitor is given as, C=0.1×10-6 F The inductance of the inductor is given…

Q: Suppose a 32 mH inductor has a reactance of 95 Ω. What would the frequency be in Hz?

A: KnownsUnknowns

Q: An LRC circuit is set up with an inductance of 1/5 henry, a resistance of 1 ohm, and a capacitance…

Q: Electrosurgical units (ESUS) supply high-frequency electricity from resonant RLC circuits to cut,…

Q: The current through inductance L is given by I = Io e-t/T. Express your answer in terms of some,…

Q: The current in an RL circuit increases to 97% of its final value2 10 s after the switch is dosed.…

Q: a) Use Kirchhoff's Voltage Law and the given variables to write down two unique equations involving…

Q: Part A What is the impedance Z of the circuit? Express your answer with the appropriate units. Z =…

Q: Ex.4 A 3500-pF capacitor is connected in series to a 55 uH coil of resistance R=4 Ohm What is the…

A: Write the given values with the suitable variables. C=3500 pF=3500×10-12 FL=55 μH=55×10-6 HR=4 Ω…

Q: inductor: € == dI dt Lenz's Law: The induced EMF will fight the change in current through an - Ld…

A: Since you posted two questions, we will solve only first question and for the solutions of other…

Q: Q. 1. A source of ac voltage V = Vosin oot, is connected across a pure inductor of inductance L.…

A: We know a source of ac voltage , is connected across a pure inductor of inductance L. Derive the…

Q: Correct A capacitor stores energy within the electric field between its plates (conductors).…

Q: CURRENT DECREASING TO ZERO: Previously we found the current immediately after a circuit is changed…

Q: Assume that a 5.0 μF capacitor, a battery of emf ε= 24.0 V, and a voltmeter of 12.0 MΩ input…

A: C = 5 μF R = 12 Mega ohm Emf = 24 volts time (t) = 25 sec

Q: In the circuit shown in, S₁ has been closed for a long enough time so that the current reads a…

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

2. Two cars collide at an intersection. Car A, with a mass of 2000 kg, is going from west to east, while car B, of mass 1500 kg, is going from north to south at 15 m/s. As a result of this collision, the two cars become enmeshed and move as one afterward. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of 65° south of east from the point of impact. a. How fast were the enmeshed cars moving just after the collision? b. How fast was car A going just before the collision?
Needs Complete typed solution with 100 % accuracy.
mics of a series R-C circuit. I containing a resistor of resistance R and a e C connected to a source of EMF & with ance. The wires are also assumed to have the switch is open and the capacitor the processes that take place after the marge of the capacitor, the current in the ingly, the voltages across the resistor and anging. Note that at any moment in time cuit, Kirchhoff's loop rule holds and, indeed, Vc = 0, where VR is the voltage across the voltage across the capacitor. R ww io=0 C = 40=0 1 of 1 Part F In the steady state, what is the charge q of the capacitor? Express your answer in terms of any or all of E, R, and C. ► View Available Hint(s) VE ΑΣΦ 9= Submit Part G W = How much work W is done by the voltage source by the time the steady state is reached? Express your answer in terms of any or all of E, R, and C. ► View Available Hint(s) Submit Provide Feedback C V ΑΣΦ ? LATI ?
Initially, the switch is open, and the capacitor in Figure above is uncharged. At t=0, the capacitor is closed. Calculate the current flowing through the capacitor at t=0.1 second!
What capacitance should be used to produce a 2.00 MΩ reactance at 60.0 Hz?
can you help with 1a and subquestion 1b and 1c this is not and will not be graded 1a. Your RL circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.90 MΩ. What is the inductance of the circuit? 1b. What resistance would give you a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope? 1c. A large superconducting magnet, used for magnetic resonance imaging, has a 49.0 H inductance. If you want current through it to be adjustable with a 1.30 s characteristic time constant, what is the minimum resistance of system?
A series RLC circuit consists of a 22 N resistor, a 0.14 H inductor, and a 120 µF capacitor. It draws a 2.9 A rms current when attached to a 60 Hz source. Part A What is the emf Erms ? Express your answer to two significant figures and include the appropriate units. HÀ ? Erms Value Units Submit Request Answer Part B What is the phase angle p? Express your answer using two significant figures. ? ゆ= Submit Request Answer Part C What is the average power loss? Express your answer to two significant figures and include the appropriate units.