2. Two charges move as shown in figure 2. Charge 1 is -3×10°C and has a velocity of 9x106m/s while charge 2 is 8×10°C and has a velocity of 4.5x10® m/s. Charge 1 is 0.1 m fromthe origin (to the left) while charge 2 is 0.2 m from the origin (to the right). What is thetotal magnetic field at the origin (magnitude and direction)?Fig 2.Q1Q2

Answered: Image /qna-images/answer/809f06e7-1cbd-40f3-a7da-0fb5f25f4a95.jpg

Answered: 2. Two charges move as shown in figure…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 23P: An electron moving at 4.00103 m/s in a 1.25-T magnetic field experiences a magnetic force of...

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A particle’s path is bent when it passes through a region of non-zero magnetic field although its speed remains unchanged. This is very useful for “beam steering’’ in particle accelerators. Consider a proton of speed 4106m/s entering a region of uniform magnetic field 0.2 T over a 5-cm-wide region. Magnetic field is perpendicular to the velocity of the particle. By how much angle will the path of the proton be bent? (Hint: the particle comes out tangent to a circle.
A 25-cm nod moves at 5.0 m/s in a plane perpendicular to a magnetic field of strength 0.25 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in tire accompanying figure. Calculate (a) the magnetic force on an electron in tire rod, (b) the electric field in the rod, and (c) the potential difference between the ends of the rod. (d) What is the speed of the rod if the potential difference is 1.0 V?
As seen in previous chapters, any object with electric charge, stationary or moving, other than the charged object that created the field, experiences a force in an electric field. Also, any object with electric charge, stationary or moving, can create an electric field (Chapter 22). Similarly, an electric current or a moving electric charge, other than the current or charge that created the field, experiences a force in a magnetic field (Chapter 28), and an electric current creates a magnetic field (Section 29.1). (a) To understand how a moving charge can also create a magnetic field, consider a particle with charge q moving with velocity v. Define the position vector r=rr leading from the particle to some location. Show that the magnetic field at that location is B=04qvrr2 (b) Find the magnitude of the magnetic field 1.00 mm to the side of a proton moving at 2.00 107 m/s. (c) Find the magnetic force on a second proton at this point, moving with the same speed in the opposite direction. (d) Find the electric force on the second proton.
An electron moving at 4.00103 m/s in a 1.25-T magnetic field experiences a magnetic force of 1.401016 N. What angle does the velocity of the electron make with the magnetic field? There are two answers.
List the ways in which magnetic field lines and electric field lines the similar. For example, the field direction is tangent to the line at any point in space. Also list the ways in which they differ. For example, electric force is parallel to electric field lines, whereas magnetic force on moving charges is perpendicular to magnetic field lines.
Find the direction of the magnetic field acting on a positively charged particle moving in the various situations shown in Figure P28.3 if the direction of the magnetic force acting on it is as indicated. Figure P28.3
What force is exerted on the water in an MHD drive utilizing a 25.0-cm-diameter tube, it 100-A current is passed across the tube that is perpendicular to a 2.00T magnetic field? (The relatively small size of this force indicates the need for very large currents and magnetic fields to make practical MHD drives.)
The magnetic field at all points within the cylindrical region whose cross-section is indicated in the accompanying figure starts at 1.0 T and decreases uniformly to zero in 20 s. What is the electric field (both magnitude and direction) as a function of r, the distance from the geometric center of the region?
An astronaut is connected to her spacecraft by a 25-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 3.0 105 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.45 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earths magnetic field at that instant. (a) What is the magnitude of the vertical component of Earths field at this location? (b) Does the measured voltage change as the system moves from one location to another? Explain.
A uniform horizontal wire with a linear mass density of 0.50 g/m carries a 2.0-A current. It is placed in a constant magnetic field with a strength of 4.0 103 T. The field is horizontal and perpendicular to the wire. As the wire moves upward starting from rest, (a) what is its acceleration and (b) how long does it take to rise 0.50 m? Neglect the magnetic field of Earth.
What is the direction of the velocity of a negative charge that experiences the magnetic force shown in each of the three cases in Figure 22.51, assuming it moves perpendicular to B?
What creates a magnetic Hold? More than one answer may be correct, (a) a stationary object with electric charge (b) a moving object with electric charge (c) a stationary conductor carrying electric current (d) a difference in electric potential (e) a charged capacitor disconnected from a battery and at rest Note: In Chapter 34, we will see that a changing electric field also creates a magnetic field.

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