The figure below shows two parallel conducting rails 14.0 cm apart, connected by a resistor with resistance R, - 5.00 0. Two metal rods with resistances R, = 12.8 a and R, = 15.0 Q slide along the rails with negligible friction. Rod R, slides to the left at constant speed v, = 4.00 m/s, while rod R, slides at speed v, = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of B, = 0.0100 T.

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The figure below shows two parallel conducting rails 14.0 cm apart, connected by a resistor with resistance R, - 5.00 a.
Two metal rods with resistances R, = 12.80 and R, = 15.0 0 slide along the rails with negligible friction. Rod R, slides to
the left at constant speed v, = 4.00 m/s, while rod R, slides at speed vz = 2.00 m/s. The rods and rails are in the presence
of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of
Bin - 0.0100 T.
*x x x
*BX Xx x x
* * * R, x x
X xx x X xx x X
x xx x x xx x x
R,
a.) What is the direction of the induced current through cach rod? (Use Lenz's law!) Label these currents I, and I,.
respectively.
i downward
1: upward
b.) If you were to model the induced emf as a battery, in what orientation would you place a battery on each of the two rods
to produce the currents from part (a.)? That is, on which side (top or bottom) would the positive terminal of the battery be?
Re-draw this as a circuit with two batteries by completing the circuit depicted below: E, and E, along with resistors R,, R,
and Ry. Add arrows indicating direction on the currents: 1,. 1, and 1, (where i, is through the central section and R,).
c.) Determine the magnitude of the induced emf through each outside loop: E, and E, using Faraday's Law and the example
"motional emf" problem. Enter the answer is millivolts [mv).
E,
mv
mv
d.) Use Kirchhoff's Rules, the induced emfs from part (c.), and the circuit diagram from part (b.) to solve for the current
through Ry, in pA.
1, magnitude
HA
I, direction
upward
need help with C and D.
Transcribed Image Text:The figure below shows two parallel conducting rails 14.0 cm apart, connected by a resistor with resistance R, - 5.00 a. Two metal rods with resistances R, = 12.80 and R, = 15.0 0 slide along the rails with negligible friction. Rod R, slides to the left at constant speed v, = 4.00 m/s, while rod R, slides at speed vz = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of Bin - 0.0100 T. *x x x *BX Xx x x * * * R, x x X xx x X xx x X x xx x x xx x x R, a.) What is the direction of the induced current through cach rod? (Use Lenz's law!) Label these currents I, and I,. respectively. i downward 1: upward b.) If you were to model the induced emf as a battery, in what orientation would you place a battery on each of the two rods to produce the currents from part (a.)? That is, on which side (top or bottom) would the positive terminal of the battery be? Re-draw this as a circuit with two batteries by completing the circuit depicted below: E, and E, along with resistors R,, R, and Ry. Add arrows indicating direction on the currents: 1,. 1, and 1, (where i, is through the central section and R,). c.) Determine the magnitude of the induced emf through each outside loop: E, and E, using Faraday's Law and the example "motional emf" problem. Enter the answer is millivolts [mv). E, mv mv d.) Use Kirchhoff's Rules, the induced emfs from part (c.), and the circuit diagram from part (b.) to solve for the current through Ry, in pA. 1, magnitude HA I, direction upward need help with C and D.
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