The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=38 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=1.5Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.2 m. There is a constant, vertically directed magnetic field of magnitude B=1.2 T. Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 9.209e−03 m/s? What is the rod's terminal speed? When the rod moves at its terminal speed, what is the power dissipated in the resistor?

The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ=30 degrees. There is a resistor at the top of the ramp that connects the two conducting rails R=2.3Ω. The mass of the rod is 0.42 kg. The rod starts from rest at the top of the ramp at time t=0. The rails have negligible resistance and friction, and are separated by a distance L=15.7 m. There is a constant, vertically directed magnetic field of magnitude B=1.5 T. A) Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 5.696E−03 m/s? B) What is the rod's terminal speed? C) When the rod moves at its terminal speed, what is the power dissipated in the resistor?

(a) The figure below shows two parallel conducting rails 15.2 cm apart, connected by a resistor with resistance R₂ = 5.00 Q. Two metal rods with resistances R₁ = 11.40 and R₂ = 15.0 (2 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. +5 x x x x x x x x x x x x x x x x x x x x x x x x x x upward x x x ---Select--- X * x x x x x x x x Rg x x x x x R₁ R₂ What are the magnitude (in μA) and direction of the current through resistor R₂? μA magnitude direction x x x x (b) What If? What are the magnitude (in μA) and direction of the current through resistor R. if the rods move inward, instead of outward, with the same speeds as in part (a)? μA magnitude direction

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.…