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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Auniform magnetic fieldBhas constant strength b in the z-direction [i.e., B =〈0, 0, b〉].
(a) Verify that A = 1/2B × r is a vector potential for B, where r =〈x, y, 0〉.
(b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in the figure given below.
=
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
R = 3.52 (the entire system form a circuit). Find the terminal velocity of the rode if the there is an
external uniform magnetic field B = 3.1 T perpendicular to the tracks. Take g = 9.81 m/s².
9
R
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m
The terminal velocity, v =
Find the speed of the rod (in m/s) as a function of time t (in s), assume that the rod starts to slide down
from rest, v(0) = 0. Do not submit the units. Hint: use analogy with RC circuits.
The speed, v(t) =
m/s.
Units m/s
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.
Chapter 26 Solutions
Physics for Scientists and Engineers
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