Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 26P
To determine
The total force on a part of wire is given as
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A conducting rod of mass m 40 g can freely slide down along the two vertical rail tracks as show below.
The tracks are parallel to each other, separated by the distance l = 60 cm, and connected with a resistance
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external uniform magnetic field B = 3.1 T perpendicular to the tracks. Take g = 9.81 m/s².
9
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In a region a non-uniform magnetic field exists such that Bx = 0, By = 0, and Bz = ax, where a is a constant. At some time t, a wire of length L is carrying a current I is located along the x-axis from origin to x = L. Find the magnetic force on the wire at this instant in time.
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Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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- The magnetic force acting on a straight wire carrying current I of length L in a uniform magnetic field B is given by F = IL x B, where L has length L and is pointing in the direction of the current. Consider the loop centered at the origin shown in the figure below. y= 4-x* for -24x42 -2 2 (b) The torque with respect to a pivot point is defined by the cross product of the separation vector i which is oriented from the pivot point to the point where the force acts and the force, チ=チxF. Find the torque acting on this loop with respect to the origin as the pivot point.arrow_forwardA wire lies on a horizontal surface in the xy plane. Suppose that one end of the wire is at the origin while the other end is located at (5,6) and the wire follows a parabolic path from one end to another. If the wire is carrying a current of 2 A and a magnetic field of 0.1 T directed vertically downward is present, calculate the magnetic force and the magnetic force strength that acts on the wire.arrow_forwardThere is a long cylinder with radius of R, and magnetization of M = Mopî for parrow_forwardA vector field V is irrotational if ∇ × V = 0. Find constants a, b, c so that V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k is irrotational. For those values a, b, c, find a function f: R3 → R so that V = ∇f.arrow_forwardFerromagnetsarrow_forwardConsider two infinitely long and parallel wires separated by distance d and carrying currents I₁ = -12. (a) Find the magnitude and direction of the vector potential A(r1,72) at a point P where r₁ and r2 represent the distances to P from wire 1 and wire 2 respectively. (b) What is the magnitude of A for r₁ = r₂? (c) What is the value of the magnetic field B for r₁ = r₂? (d) Given that B = V x A, how can you reconcile the answers to (b) and (c) above?arrow_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_forwardA conducting rod of mass m = 35 g can freely slide down along the two vertical rail tracks as show below. The tracks are parallel to each other, separated by the distance l = 85 cm, and connected with a capacitance C = 9 mF (the entire system form a circuit). Find the acceleration of the rode if the there is an external uniform magnetic field B = 3.4 T perpendicular to the tracks. Take g = 9.81 m/s². 9 с The acceleration, a = HE 1 ов m Units m/s^2arrow_forwardA conductor is oriented such that the current I travels from (1, 2, 3) to (1, 2, -2). What is the integral that will solve for the force being experienced by said conductor if the magnetic field in the region is:arrow_forwardWrite down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length l and the mass m carrying the current I . The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B and the gravitational field g perpendicular to the rod (see picture below).arrow_forwardThe armature (slender rod) AB has a mass of 0.20 kg and can pivot about the pin at A. Movement is controlled by the electromagnet E, which exerts a horizontal attractive force on the armature at B of FB = (0.20 (10–3) l 2) N, Part A where l in meters is the gap between the armature and the magnet at any instant. (Figure 1) If the armature lies in the horizontal plane, and is originally at rest, determine the speed of the contact at B the instant l = 0.01 m. Originally l = 0.02 m. Express your answer to three significant figures and include the appropriate units. Value Units v = Submit Request Answer < Return to Assignment Provide Feedback Figure < 1 of 1 E 150 mmarrow_forwardWhat is the magnetic force on a square circuit with side a in which a current I circulates and with two of its opposite sides parallel to a straight infinite cable on which the same current circulates and the closest side is at a distance d. Consider the current direction of the straight wire in the two possible orientations.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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