(a) Suppose the bar is at a height z above the bottom. Find the magnitude and di
ID: 1671677 • Letter: #
Question
(a) Suppose the bar is at a height zabove the bottom. Find the magnitude and direction of the magneticflux B. (Use the following variables as necessary:B, L, and z.) magnitude B = direction is magnitude I = direction is(c) Now find the magnetic force on the bar. Notice that themagnitude of this force increases as v increases. (Use thefollowing variables as necessary: B, L, R, and v.)
F = (d) If the bar has a mass m, therewill also be a gravitational force on the bar. Eventually, the barwill reach a speed v at which the gravitational andmagnetic forces cancel so that the total force on the bar is zero.Find v. (Use the following variables as necessary: B, g,L, m, and R.)
v = magnitude B = direction is
Explanation / Answer
a_ magnitude of magnetic flux =B*z*L. b_inducted emf. U=B*L*v c_current I=U/R=BLv/R. d_total force is zero so. mg=F_m while F_m is the magnetic force. F_m=I*L*B=BLv/R *L*B=B^2*L^2*v/R B^2*L^2*v/R=mg. so v=mgR/(BL)^2
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