*** 40. Two long wires are 10 cm apart at their closest point. One of the wires is vertical and carries current 1 amp upward from the floor, while the other is horizontal and carries current 3 amps left to right. What is the magnetic field halfway between the two wires at their closest point? [Hint: Do not forget that magnetic fields are vectors.] `1 A B= ? 10 cm 3 A

*** 40. Two long wires are 10 cm apart at their closest point. One of the wires is vertical and carries current 1 amp upward from the floor, while the other is horizontal and carries current 3 amps left to right. What is the magnetic field halfway between the two wires at their closest point? [Hint: Do not forget that magnetic fields are vectors.] `1 A B= ? 10 cm 3 A

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 22PQ: Two long, straight wires carry the same current as shown in Figure P30.22. One wire is parallel to...

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Why is the following situation impossible? The magnitude of the Earths magnetic field at either pole is approximately 7.0 105 T. Suppose the field fades away to zero before its next reversal. Several scientists propose plans for artificially generating a replacement magnetic field to assist with devices that depend on the presence of the field. The plan that is selected is to lay a copper wire around the equator and supply it with a current that would generate a magnetic field of magnitude 7.00 105 T at the poles. (Ignore magnetization of any materials inside the Earth.) The plan is implemented and is highly successful.
What creates a magnetic field? 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 24, we will see that a changing electric field also creates a magnetic field.
Two long, straight wires carry the same current as shown in Figure P30.22. One wire is parallel to the z axis and the other wire is parallel to the x axis as shown. Find an expression for the magnetic field at the origin.
Two long, straight, parallel wires carry current as shown in Figure P30.18. If the currents are equal, find an expression for the magnetic field at point C. Use the indicated coordinate system to write your answer in component form. FIGURE P30.18
A particle with electric charge is fired into a region of space where the electric field is zero. It moves in a straight line. Can you conclude that the magnetic field in that region is zero? (a) Yes, you can. (b) No; the field might be perpendicular to the particles velocity. (c) No; the field might be parallel to the particles velocity. (d) No; the particle might need to have charge of the opposite sign to have a force exerted on it. (e) No; an observation of an object with electric charge gives no information about a magnetic field.
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.
Why is the following situation impossible? Figure P28.46 shows an experimental technique for altering the direction of travel for a charged particle. A particle of charge q = 1.00 C and mass m = 2.00 1015 kg enters the bottom of the region of uniform magnetic field at speed = 2.00 105 m/s, with a velocity vector perpendicular to the field lines. The magnetic force on the particle causes its direction of travel to change so that it leaves the region of the magnetic field at the top traveling at an angle from its original direction. The magnetic field has magnitude B = 0.400 T and is directed out of the page. The length h of the magnetic field region is 0.110 m. An experimenter performs the technique and measures the angle at which the particles exit the top of the field. She finds that the angles of deviation are exactly as predicted. Figure P28.46
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?
The cross-sectional dimensions of the copper strip shown are 2.0 cm by 2.0 mm. The strip carries a current of 100 A, and it is placed in a magnetic field of magnitude B = 1.5 T. What are the value and polarity of the Hall potential in the copper strip?
A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earths magnetic field. A horizontal compass placed at the coils center is made to deflect 45.0 from magnetic north by a current of 0.600 A in the coil. (a) What is the horizontal component of the Earths magnetic field? (b) The current in the coil is switched off. A dip needle is a magnetic compass mounted so that it can rotate in a vertical north-south plane. At this location, a dip needle makes an angle of 13.0s from the vertical. What is the total magnitude of the Earths magnetic field at this location?
A horizontal power line of length 58 m carries a current of 2.2 kA as shown in Figure P19.34. Earths magnetic field at this location has a magnitude equal to 5.0 105. T and makes an angle of 65 with the power line. Find the magnitude and direction of the magnetic force on the power line. Figure P19.34