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Unformatted text preview: r the center of loop 2. The
radius of loop 2 is much larger than that of loop 1. A steady current I circulates in loop 2,
going into the paper on the right side and out of the paper on the left side.
(a) Make a qualitative plot of the flux of magnetic field through loop 1 as function of
x=position of the center of loop 1. Put the center of loop 2 at x=0, and indicate on the xaxis of the graph the positions of the edges of loop 2. Use the convention positive flux =
flux pointing up, negative flux= flux pointing down.
(b) Make a qualitative plot of the current induced in loop 1 as a function of x, again
indicating the position of the edges and center of loop 2. Use the convention: positive
current = current in the same sense as in loop 2, negative current = current in the opposite
sense as in loop 2. Correlate the points where the current is zero with features of the plot
in (a).
Hint: the magnetic field very close to a curved wire looks very similar to that of a straight
wire.
Problem 6
y
v x
B
z A proton (mass=1.67x1027kg, charge=electron charge) moving in the x direction with
speed v=10,000 m/s enters a region starting at x=0 where there is an electric field and a
uniform magnetic field. The magnetic field points in the +z direction and has magnitude
0.5G (1G=104T). The xcomponent of the Efield is uniform. The proton continues to
move in a straight line in the x direction and comes to a stop at x=1m.
(a) Find the electric field component in the z direction (with its sign) for all x.
(b) Find the electric field component in the y direction (with its sign) at x=0.
(c) Find the electric field component in the x direction (with its sign).
(d) Find the angle that the electric field makes with the xaxis at x=0, in degrees.
Problem 7 L small square loop S +The circuit on the figure, including the solenoid L, is made with Cu wire of cross section
1mm2. The total length of wire used in the circuit, including the wire in the...
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 Fall '08
 Groisman,A
 Magnetism

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