#1276 only Physics electricity and magnetsim Constant velocity v across a unifor
ID: 1501193 • Letter: #
Question
#1276 only
Physics electricity and magnetsim
Constant velocity v across a uniform magnetic field confined to a square region of side 2L. Sketch a graph of the external force, F, needed to move the loop at constant velocity, as a function of distance, x, from x = -2L to x = +2L. (x is measured from the center of the larger square) Sketch a graph of the current induced in the loop as a function of x (Plot clockwise current upward and counterclockwise current downward) In the diagram, AB is a metal rod moving with constant velocity v = 2 m/s in a direction parallel to a long straight wire carrying current I = 40 A Compute the induced e.m.f in the rod. Which end of the rod is at a higher potential? The orbit of an electron in a betatron is a circle of radius R, and the velocity of the electron is v What B field is required to maintain the electron in this orbit, if we suppose the magnitude of v to be constant? If B is constant over the plane of the orbit, and increasing at rate dB/dt, what is the equivalent voltage accelerating the electron in each revolution?Explanation / Answer
given
v = 2 m/s
r1 = 10 cm = 0.1 m
r2 = 100 cm = 1 m
L = 90 cm = 0.9 m
I = 40 A
magnetic field due to staright wire, B = mue*I/(2*pi*r)
induced emf in the rod = integral B*v*L*dr
= integral (mue*I/(2*pi*r))*v*L
= mue*I*v*L/(2*pi) intgral (1/r)*dr
= mue*I*v*L*ln(r2/r1)/(2*pi)
= 4*pi*10^-7*40*2*0.9*ln(1/0.1)/(2*pi)
= 3.32*10^-5 volts <<<<<<--------Answer
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