30. A short wire runs along an x axis from x = a to x = -a (Figure P30.30). At t = 0, there is a small sphere carry- ing charge +qo at x = a and a small sphere carrying charge -qo at x = -a. As the spheres discharge and a current is established in the wire, show that, for t>0, the generalized form of Ampère's law (Eq. 30.13) and the Biot-Savart law (Eq. 28.12) give the same result for the magnitude of the mag- netic field a distance b up the y axis. (Hint: Obtain the elec-

30. A short wire runs along an x axis from x = a to x = -a (Figure P30.30). At t = 0, there is a small sphere carry- ing charge +qo at x = a and a small sphere carrying charge -qo at x = -a. As the spheres discharge and a current is established in the wire, show that, for t>0, the generalized form of Ampère's law (Eq. 30.13) and the Biot-Savart law (Eq. 28.12) give the same result for the magnitude of the mag- netic field a distance b up the y axis. (Hint: Obtain the elec-

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)...

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a.Find H in rectangular components at P(3,4,2) If there is a current filament on the z axis carrying 5 mA in the az direction. b. Repeat if the filament is located at x = -1, y = 2. (c) c. Find H if both filaments are present.
dz wire 1- Y 2wire 2 * Pi K.- ļ, - K.- lz- A current carrying wire(wire-1) with i1 = 15 Amperes is placed at the origin on the Y-Z plane. Another current carrying wire(wire-2) with iz = 14 Amperes is placed l = axis. The point P2 is l1 wire-1. Pi (0, 10, –15), P2 (0, 10, 0) and the point P3 (0, 10, 5) are on the same line. The direction of the current is given in the figure. = 12 m distance apart on the Y- = 10 m from the Step 1: Consider a wire-1 only. a) Calculate magnetic field at Pı
Question #1. Consider a current-carrying circular wire with radius r. Find the angle between the infinitesimal length dl and some distance h? +z dl h dB +y y Current-carrying circular wire Note: radius r is perpendicular to the screen Select one: O 90° O 0° O 180° O 270°
A closed curve encircles several conductors. The line integral PB.dL around this curve is 3,83x104 T.m (a) What is the net current in the conductors? (b) If you were to integrate around the curve in the opposite direction, what would be the value of the line integral? Select one: lenci=D 305 A, 0.0 T.m lencl = 502 A, -3.83 x 10 4T.m lenci = 502 A, -7.66 x 104 T.m lencl = 600 A, -7.66 x 104T.m lencl = 305 A, -3.83 x 10 4 T.m lencl = 502 A, 0.0 T.m %3D
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7. a C R₂ Given E=12V, R₁-1002, R₂ = 1502 and C=1uF. a) The switch S has been on position a for a long period of time. Find the charge of the capacitor. b) Find the current through the ammeter 9.50 µs after S is thrown from position a to position b. c) After S is thrown from a to b, at what time, in us, does the charge on C become equal to 2.00 uC
dz wire 1n -wire 2 K.- 1, - K.- !,- A current carrying wire(wire-1) with i, = 12 Amperes is placed at the origin on the Y-Z p iz = 15 Amperes is placed I = 13 m distance apart on the Y-axis. The point P2 is h = 9m from the wire-1. P (0, 9, –13), P, (0,9,0) and the point P: (0,9, 8) are on the same line. The direction of the current is given in the figure. ane. Another current carrying wire(wire-2) with What is the Magnetic field at point P3 ? Find the Y component and Z component