College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Consider a short wire of length L, carrying a current I to the left. Define coordinates so that the wire is along the à axis, the current flows in the - direction, the y axis is vertical in the plane of the page and the 2 axis points out of the page. Which of the following expressions is an ap- proximate expression for the magnetic field at a point P on the y axis very close to the wire, i.e. a distance y < L below the mid- point of the wire? 1. B= 2(y2 + L2) O 2. B 0 3. B Hol 2ny Hol 4Vy2 + L² 4. B = Hol 4Ty 5. B = %3D O 6. B=-00 O, B = 47 (y2 + L2) 8. B = 27 Vy? + L2 40IL 2ny? 9. B = 10. B – _ 40! 2nyarrow_forwardA long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 2br, where b is a constant? Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: ?0, r1, r2, b, R.) (a) r1 < R (b) r2 > Rarrow_forwardAn infinitely long, straight, cylindrical wire of radius R has a uniform current density J = Jî in cylindrical coordinates. What is the magnitude of the magnetic field at some point inside the wire at a distance r; < R from the wire's central Cross-sectional view axis? Express your answer in terms of R, r;, µo, and J. J B = Side view Assuming J is positive, what is the direction of the magnetic field at some point inside the wire? O positive z-direction negative z-direction positive r-direction negative r-direction positive p-direction negative p-directionarrow_forward
- Let x=0 be the beginning of the magnetic field. Express the area (A), and express vw in terms of the area. Then what is vBw in terms of magnetic flux? The magnetic force on the conducting charges is an EMF, an electromotive force. Use these to derive the following expression for the EMF: Please see attachments for details on question and diagram.arrow_forwardQuestion 1: The magnetic flux of a uniform magnetic field of magnitude B througn a flat area A whose area vector is at angle with the magnetic field is given by ... (select the best choice) OBXA OBA sin OBA OAX B OBA cos Part (a) › analyzes the directions of the forces between two parallel wires carrying currents in the same direction. Perform a similar analysis for the forces between two parallel wires carrying currents in opposite directions. Those forces are... (select the best choice) Orepulsive to the left Part (b) Oto the right Oup Odown O attractive two ways of determining the direction of the magnetic field produced at some point by a moving charge or a current. Which hand or hands are avolved in both ways? (select the best choice) OBoth hands, but mainly the right ORight hand OBoth hands equally OLeft hand ONone of the other choicesarrow_forwardWhat is the magnitude of the magnetic field (in nT) at a distance of 4 m from a long straight wire which carries a current of 14 A? (in units of nT or nanoteslas)arrow_forward
- Two long straight current carrying wire both have currents of 235 A directed to the right. The wires are laid parallel to one another and are separated by a distance of 0.028 m. What is the net magnetic field at a distance of 0.02 m above the top wire? Enter a number rounded to 4 decimal placesarrow_forwardA 25 cm rod moves at 2.4 m/s in a plane perpendicular to a magnetic field of strength 0.36 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in the accompanying figure. 25 cm (a) Calculate the magnetic force on an electron in the rod (in N). (Enter the magnitude.) (b) Calculate the electric field in the rod (in V/m). (Enter the magnitude.) V/m (c) Calculate the potential difference between the ends of the rod (in V). V (d) What is the speed of the rod (in m/s) if the potential difference is 1.0 V? m/sarrow_forwardA steady-current flows down a long cylindrical wire of radius R. Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that J is proportional to r², where r is the distance from the axis.arrow_forward
- The magnitude of the magnetic field a distance of l away from a long, straight current carryingwire is B. How far from the wire is the magnitude of the magnetic equal to 1/2B?arrow_forward= 6.80 A and the wire lies in the plane of the rectangular loop, which carries a current I, = 10.0 A. The dimensions in the figure are In the figure below, the current in the long, straight wire is I, 0.100 m, a = 0.150 m, and { C = 0.420 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. magnitude direction to the leftarrow_forwarda) A wire of length L carrying a current of magnitude I is shown on the figure. Find the magnetic field vector at point P. Hint: You may find the following integrals useful: 1 1 -dx a Jx² +a? (x* +a*)* 1 -dx =- (x² +a*)* direction of current 2 X a P L 2arrow_forward
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