The figure below shows two parallel conducting rails 18.8 cm apart, connected by a resistor with resistance R3 = 5.00 02. Two metal rods with resistances R₁ = 12.8 2 and R₂ = 15.00 slide along the rails with negligible friction. Rod R₁ slides to the left at constant speed v₁ = 4.00 m/s, while rod R₂ slides at speed V₂ = 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.

College Physics
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Chapter18: Direct-Current Circuits
Section: Chapter Questions
Problem 18P: (a) Find the current in each resistor of Figure P18.18 by using the rules for resistors in series...
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The figure below shows two parallel conducting rails 18.8 cm apart, connected by a resistor with resistance 
R3 = 5.00 Ω.
 Two metal rods with resistances 
R1 = 12.8 Ω
 and 
R2 = 15.0 Ω
 slide along the rails with negligible friction. Rod 
R1
 slides to the left at constant speed 
v1 = 4.00 m/s,
 while rod 
R2
 slides at speed 
v2 = 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.
Two parallel horizontal rails are vertically aligned and connected through their centers with a vertical wire containing resistor R3. A vertical rod labeled R1 lies vertically across the sides of the rails to the left of R3. An arrow labeled (vector v1) extends from the center of this left rod to the left. A vertical rod labeled R2 lies vertically across the sides of the rails to the right of R3. An arrow labeled (vector v2) extends from the center of this right rod to the right. The label (vector Bin) is to the left of R3. The area between the rails is filled with evenly-spaced x symbols.
What are the magnitude (in µA) and direction of the current through resistor 
R3?
magnitude 
µAdirection
(b)
What If? What are the magnitude (in µA) and direction of the current through resistor 
R3
 if the rods move inward, instead of outward, with the same speeds as in part (a)?
magnitude µA
direction 
(a) The figure below shows two parallel conducting rails 18.8 cm apart, connected by a resistor with resistance R, = 5.00 Q. Two metal rods with
resistances R, = 12.8 N 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 Bin = 0.0100 T.
XR.X
B
x> R x
R
R2
What are the magnitude (in µA) and direction of the current through resistor R,?
magnitude
1.226
What are the two motional emfs? What are their directions, based on the velocities of the rods and the direction of the field? From
this, can you construct a circuit diagram that allows you to apply Kirchhoff's laws? Can you use Kirchhoff's laws to set up a system of
equations that allows you to solve for the current through R,? Be careful of signs. HA
direction
upward
(b) What If? What are the magnitude (in µA) and direction
current through resistor R, if
move inward, instead of outward, with the
same speeds as in part (a)?
magnitude
HA
direction
--Select---
Need Help?
Read It
Transcribed Image Text:(a) The figure below shows two parallel conducting rails 18.8 cm apart, connected by a resistor with resistance R, = 5.00 Q. Two metal rods with resistances R, = 12.8 N 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 Bin = 0.0100 T. XR.X B x> R x R R2 What are the magnitude (in µA) and direction of the current through resistor R,? magnitude 1.226 What are the two motional emfs? What are their directions, based on the velocities of the rods and the direction of the field? From this, can you construct a circuit diagram that allows you to apply Kirchhoff's laws? Can you use Kirchhoff's laws to set up a system of equations that allows you to solve for the current through R,? Be careful of signs. HA direction upward (b) What If? What are the magnitude (in µA) and direction current through resistor R, if move inward, instead of outward, with the same speeds as in part (a)? magnitude HA direction --Select--- Need Help? Read It
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