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 µAdirection (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 withresistances 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, whilerod 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 theplane of the rails, with a magnitude of Bin = 0.0100 T.XR.XBx> R xRR2What are the magnitude (in µA) and direction of the current through resistor R,?magnitude1.226What are the two motional emfs? What are their directions, based on the velocities of the rods and the direction of the field? Fromthis, 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 ofequations that allows you to solve for the current through R,? Be careful of signs. HAdirectionupward(b) What If? What are the magnitude (in µA) and directioncurrent through resistor R, ifmove inward, instead of outward, with thesame speeds as in part (a)?magnitudeHAdirection--Select---Need Help?Read It

Given:width between the rails, d = 0.188 mthe resistance of the stationary arm, R3 = 5.00 ΩFor rod…

Answered: The figure below shows two parallel…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 74P

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Question

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

B_in = 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 B_in) 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---
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