(a) The figure below shows two parallel conducting rails 10.8 cm apart, connected by a resistor with resistance R, = 5.00 0. Two metal rods with resistances R, = 10.8 0 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 v, = 2.00 m/s. The rods and rails are in e 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>R, x х хх х х х х х хх * xx x x R What are the magnitude (in pA) and direction of the current through resistor R3? magnitude direction -Select-- (b) What If? What are the magnitude (in pA) and direction of the current through resistor R, if the rods move inward, instead of outward, with the same speeds as in part (a)? magnitude HA direction

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(a) The figure below shows two parallel conducting rails 10.8 cm apart, connected by a resistor with resistance \( R_3 = 5.00 \, \Omega \). Two metal rods with resistances \( R_1 = 10.0 \, \Omega \) and \( R_2 = 15.0 \, \Omega \) slide along the rails with negligible friction. Rod \( R_1 \) slides to the left at constant speed \( v_1 = 4.00 \, \text{m/s} \), while rod \( R_2 \) slides at speed \( v_2 = 2.00 \, \text{m/s} \). 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 \( B_{\text{in}} = 0.100 \, \text{T} \).

*[Image Description: The diagram depicts two parallel conducting rails with two metal rods. Both rods are connected to a resistor \( R_3 \) and slide along the rails in opposite directions. The rods \( R_1 \) and \( R_2 \) are labeled with their respective resistances and velocities. The magnetic field is shown with the symbols "X" indicating it points into the page. An arrow labeled \( v_1 \) points left along with the rod \( R_1 \), and an arrow labeled \( v_2 \) points right along with the rod \( R_2 \).]*

What are the magnitude (in µA) and direction of the current through resistor \( R_3 \)?

- Magnitude: [Input Field] µA
- Direction: [Dropdown Menu]

(b) What If? What are the magnitude (in µA) and direction of the current through resistor \( R_3 \) if the rods move inward, instead of outward, with the same speeds as in part (a)?

- Magnitude: [Input Field] µA
- Direction: [Dropdown Menu]
Transcribed Image Text:**Transcription:** (a) The figure below shows two parallel conducting rails 10.8 cm apart, connected by a resistor with resistance \( R_3 = 5.00 \, \Omega \). Two metal rods with resistances \( R_1 = 10.0 \, \Omega \) and \( R_2 = 15.0 \, \Omega \) slide along the rails with negligible friction. Rod \( R_1 \) slides to the left at constant speed \( v_1 = 4.00 \, \text{m/s} \), while rod \( R_2 \) slides at speed \( v_2 = 2.00 \, \text{m/s} \). 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 \( B_{\text{in}} = 0.100 \, \text{T} \). *[Image Description: The diagram depicts two parallel conducting rails with two metal rods. Both rods are connected to a resistor \( R_3 \) and slide along the rails in opposite directions. The rods \( R_1 \) and \( R_2 \) are labeled with their respective resistances and velocities. The magnetic field is shown with the symbols "X" indicating it points into the page. An arrow labeled \( v_1 \) points left along with the rod \( R_1 \), and an arrow labeled \( v_2 \) points right along with the rod \( R_2 \).]* What are the magnitude (in µA) and direction of the current through resistor \( R_3 \)? - Magnitude: [Input Field] µA - Direction: [Dropdown Menu] (b) What If? What are the magnitude (in µA) and direction of the current through resistor \( R_3 \) if the rods move inward, instead of outward, with the same speeds as in part (a)? - Magnitude: [Input Field] µA - Direction: [Dropdown Menu]
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