Lab 07 - Motional emf and Induced Current (1)

QUESTION 4 What is the direction of the induced current? AA B (outward) vAt O A. clockwise O B. counterclockwise QUESTION 5 Refer to the figure in the previous question. What is the emf induced when a 5.41-cm conducting rod attached to a U-shaped conductor moves at 1.1 m/s perpendicular to a magnetic field of strength 17.4 T? Please the numeric answer in terms of V (volts). Normal format with 3 SF, QUESTION 6 Find the magnitude of the induced emf in a circular coil with 27 loops and a radius 6.82 cm. The coil begins completely outside any magnetic field, and then during the next 12.5 seconds it moves completely into a uniform 4.75-T magnetic field. Assume that the plane of the loop and the direction of motion are both perpendicular to the magnetic field. Express your answer in Volts. Normal format with 3 SF.

Constants A 17-cm-diameter circular loop of wire is placed in a 0.58-T magnetic field. Part A When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop? Express your answer to two significant figures and include the appropriate units. HÀ ? Value Units Submit Request Answer Part B The plane of the loop is rotated until it makes a 45 ° angle with the field lines. What is the angle in the equation PB BA cos 0 for this situation? Express your answer using two significant figures. Πν ΑΣφ ? = Submit Request Answer

E2 The two plates in figure 6 are infinite both in the directionof ?̂ as in ?̂. Determine the magnetic induction producedfor current distribution. ?⃗ =?0?̂ for− ? < ? < 0?⃗ = −?0?̂ for 0 < ? < a

When a car drives through the Earth's magnetic field, an emf is induced in its vertical 50-cm-long radio antenna. Submit Previous Answers Completed Part B What is the maximum emf induced in the antenna? The car's speed is 25.0 m/s on a horizontal road. Express your answer to two significant figures and include the appropriate units. ? E = Value Units Submit Request Answer < Return to Assignment Provide Feedback P Type here to search 48% Lenovo Esc F1

! Required information A long straight wire carrying a current /is in the plane of a circular loop of wire. The current / is decreasing. Both the loop and the wire are held in place by external forces. The loop has resistance 33.2 Q. I -Long wire Conducting loop At one instant, the induced current in the loop is 80.1 mA. What is the rate of change of the magnetic flux through the loop at that instant in webers per second? Wb/s

108. A beam of singly ionized helium is injected into the velocity selector at right. The electric field is 25 kN/C directed up. Note: c = 3 x 108 m/s a. What magnitude and direction magnetic field is necessary to select ionized helium at 0.05c? Mathematical Analysis b. Would this selector also work with doubly ionized helium at 0.05c? c. If the beam is replaced with a beam of neutral helium, what happens to neutral helium atoms traveling at 0.05c?

1. In a charging capacitor, which of the following phenomenon is considered in Ampere's lawa. current density b. conduction currentc. opposing change in current d. displacement current2) Which of the following events result to a zero magnetic force? a whenever the charge is accelerating in the magnetic field b whenever the charge is decelerating in the magnetic field c The answer can be found on more than one of the choices. d when a charge is moving along the direction of the magnetic field 3) What should we do to a toroid for it to produce more magnetic field at the center of its cross-section?a Wind the wire to more turns b Do not change the number of turns, but decrease the radius of each turn c Lessen the turns of the wire. d Do not change the number of turns, but increase the radius of each turn

In the figure below, a sliding conducting rod in contact with the wires of a circuit is sliding at a speed v. The circuit is in a uniform magnetic field directed out of the page. R sliding bar a) Sketch the direction of the induced magnetic field from the circuit. b) Sketch the direction of the induced current in the circuit. c) Indicate the direction of the force on the sliding bar from the external magnetic field. d) Will the speed of the sliding bar increase, decrease, or stay the same?

Part A A potential difference of 45 mV develops between the ends of a 18-cm-long wire as it moves through a 0.25 T magnetic field. The wire's velocity is perpendicular to the field. What is the wire's speed? Express your answer with the appropriate units. HẢ Value Units

1. What is the difference between magnetic field and LOOP FIELD magnetic flux? 2. Consider the magnetic field lines surrounding a disc magnet as pictured at right. The magnet moves from right to left through the wire loop. Describe how the magnetic flux through the surface defined by the loop changes (if at all) as the magnet 1) approaches the loop, 2) passes through the loop, and 3) recedes from the loop. Sketch a graph of magnetic flux through the surface vs. time as the magnet undergoes this motion, DISC MAGNET

The loop in the figure is being pushed into the 0.60 T magnetic field at 25 m/s. The resistance of the loop is 0.50 2. (Figure 1) You may want to review (Pages 849 - 851). Part A What is the magnitude of the current in the loop? Express your answer with the appropriate units. Value Submit Part B Request Answer Units clockwise What is the direction of the current in the loop? O counterclockwise ? Submit Request Answer

Part A Faraday's law of induction deals with how a changing magnetic flux induces an emf in a circuit. Recall that magnetic flux depends on magnetic field strength and the effective area the field is passing through. We'll start our investigation by looking at the field strength around a bar magnet. Position the magnet around the coil so that the region labeled A in the figure below is inside the coil. Move the magnet slowly back and forth and observe the effect on the brightness of the bulb and the needle of the voltmeter. Repeat the same process for the other two regions. For which of the regions shown in the figure is the observed effect the strongest? OO оо Re C Region B The observed effect is the same for all three regions. Region A A Submit Request Answer N S B с

1. Figure 1 below shows an electron moving in +x direction enter uniform magnetic field directed into the plane. Draw the path taken by the electron as they pass through the magnetic field region and leave from side QR. If another electron enters the same region with higher velocity, what happen to the path travel by the electron? Sketch the electron motion on the same diagram and explain your answer. electron Figure 1

Part A Faraday's law of induction deals with how a changing magnetic flux induces an emf in a circuit. Recall that magnetic flux depends on magnetic field strength and the effective area the field is passing through. We'll start our investigation by looking at the field strength around a bar magnet. Position the magnet around the coil so that the region labeled A in the figure below is inside the coil. Move the magnet slowly back and forth and observe the effect on the brightness of the bulb and the needle of the voltmeter. Repeat the same process for the other two regions. For which of the regions shown in the figure is the observed effect the strongest? Region C The observed effect is the same for all three regions. O Region A O Region B Submit Request Answer A N S B C

Q1) An infinite long wire carries current I = 4 A upward is placed parallel to the longest sides of a rectangular loop that carries I2 = 12.5 A moving clockwise. If the distance between the infinite wire and the nearest side is 0.2 m and the rectangular loop has dimensions of 0.1 mX 0.3 m. Perform the following task. 1.1. Draw a model that illustrate the set up of the question and show all the forces that is associated to the two wires.

LOOP FIELD DISC MAGNET flux? 2. Consider the magnetic field lines surrounding a disc magnet as pictured at right. The magnet moves from right to left through the wire loop. Describe how the magnetic flux through the surface defined by the loop changes (if at all) as the magnet 1) approaches the loop, 2) passes through the loop, and 3) recedes from the loop. Sketch a graph of magnetic flux through the surface vs. time as the magnet undergoes this motion.

I Review Laboratory scientists have created the electric and magnetic fields shown in (Figure 1). These fields are also seen by scientists that zoom past in a rocket traveling in the x-direction at 1.0 x 106 m/s. Assume that B = 0.52 T and E = 1.2x106 V/m. Part A According to the rocket scientists, what angle does the electric field make with the axis of the rocket? Express your answer in degrees. ? ° above the axis of the rocket Figure 1 of 1> Submit Request Answer 1.0 X 10 m/s Provide Feedback Next > 458

I Review I Constants I Periodic Table The magnetic field at the center of a 0.80-cm- diameter loop is 2.3 mT. Part A What is the current in the loop? Express your answer using two significant figures. ΑΣφ DA I = A Submit Request Answer Part B A long straight wire carries the same current you found in part a. At what distance from the wire is the magnetic field 2.3 mT ? Express your answer using two significant figures. V Αφ ? L = m Submit Request Answer

Faraday S 4. What are the methods to change the magnetic field in Faraday's first law? According to Faraday's first law, any minute change in the magnetic field of the coil results in emf which, is induced in the coil. Following are the ways in which the magnetic field can be changed: ● The movement of the bar magnet towards or away from the coil. ● The movement of the coil into or out of the magnetic field. . Changing the area where the coil is placed results in a change in the magnetic field. The rotation of the coil relative to the magnet brings the change in the magnetic field. .

I Review | Constants A 10-cm-diameter parallel-plate capacitor has a 1.0 mm spacing. The electric field between the plates is increasing at the rate 9.0x105 V/m s. Part A You may want to review (Pages 884 - 886). What is the magnetic field strength on the axis? Express your answer to two significant figures and include the appropriate units. HÀ B = Value Units Submit Request Answer Part B What is the magnetic field strength 3.5 cm from the axis? Express your answer to two significant figures and include the appropriate units. HÁ ? B = Value Units Submit Request Answer • Part C What is the magnetic field strength 6.7 cm from the axis? Express your answer to two significant figures and include the appropriate units. ? B = Value Units Submit Request Answer

The Hall voltage across a conductor in a 40 mT magnetic field is 2.0 μV. When used with the same current in a different magnetic field, the voltage across the conductor is 2.7 μV. Part A What is the strength of the second field? Express your answer with the appropriate units. HÅ B₂ = Value Submit Request Answer pas Units ?

2. A hypothetical charge q with a mass m moves in a circular path perpendicular to a uniform magnetic field with a magnitude of B and is directed into the page. If the speed of the hypothetical charge is v: A. Determine the radius of the circular path. B. Determine the time interval required to complete one revolution. Pointing System for Number 2: • What are the given in the problem? • What are the unknown variables? • What are the equations that you are going to use? • Solution and answer for Part A. Solution and answer for Part B.

6. A square loop of wire connects the ends of a 10-ohm resistor, as shown. The loop sits perpendicular to a magnetic field of strength 0.6 T that is directed into the page in the picture at right. The field then drops to zero over a time of 3 seconds. If the loop is 10 cm high and 15 cm wide, what is the current induced in the loop? ** 10 Ω

Problem 1 A mass spectrometer is below. E = 1,000 V/m between the parallel plates and B = 0.5 T throughout the entire apparatus. A singly charged ion of mass = 4.0 X 10-26 kg flies straight through the velocity selector and into the magnetic chamber. Photographic plate Bin E Velocity selector Во, in O 2003 Thomson - Brooks Cole a) Is the ion positively or negatively charged? How does the experiment justify your answer? b) Calculate the speed of the ion as it exits the velocity selector. c) Calculate the radius of the path that the ion follows in the B field. d) What is the speed of the ion as it strikes point P? Justify your answer in terms of the work done by the magnetic field. X x X X x x X

Solve this questions briefly a. Briefly explain the difference between conducting current and displacement current. b. Briefly explain why the sign of the continuity equation is negative.

An electron at point A in Figure 8 has a speed vo of 1.41 x 106 m/s.i. Calculate magnitude and direction of the magnetic field that will causethe electron to follow the semi-circular path from A to Bii. Calculate the time required for the electron to move from A to B

the induced voltage is the rate of change in the magnetic field with respect to time. A rapid change in the flux induces a high voltage. Similarly, a slow change in the flux produces a low induced voltage. What HaveI Learned So Far? 1. What is the effect of increasing the number of loops to the magnitude of the induced EMF? 2. What will happen to the magnitude of the induced EMF if the number of loops will be decreased? 3. How does making the magnetic flux faster affect the magnitude of the induced EMF? How about when make the magnetic flux slower? you Mathematically, Faraday's law is stated as follows: ДФ EMF = NA At f loons of the