A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure 4. The rails are separated by a distance d. A battery that maintains a constant emf ε is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming the rod starts from rest at time t = 0, find its velocity in terms of time t, ε, B, d, m, and R.

A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure 4. The rails are separated by a distance d. A battery that maintains a constant emf ε is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming the rod starts from rest at time t = 0, find its velocity in terms of time t, ε, B, d, m, and R.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 83A

See similar textbooks

Similar questions

A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?
At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?
As a model of the physics of the aurora, consider a proton emitted by the Sun that encounters the magnetic field of the Earth while traveling at 3.3 × 10³ m/s. Figure Z V Vparallel B Vperpendicular 700 < 1 of 1 Part A The proton arrives at an angle of 33" from the direction of B (refer to (Figure 1)). What is the radius of the circular portion of its path if B Express your answer to two significant figures and include appropriate units. LO Value Submit Part B Value Submit Part C Calculate the time required for the proton to complete one circular orbit in the magnetic field. Express your answer to two significant figures and include appropriate units. 6 A Value Submit Request Answer Units 6 A Request Answer ← Units C How far parallel to the magnetic field does the proton travel during the time to complete a circular orbit? This is called the pitch of its helical motion. Express your answer to two significant figures and include appropriate units. BI? C Units Request Answer ? 2.8 x 10-5…
A long straight wire carries a 40.0 A current in the +x direction (Figure 6). At a particular instant, an electron moving at 1.0 × 107 m/s in the +y direction is 0.10 m from the wire. The charge on the electron is –1.6 × 10–19 C. What is the force on the electron at this instant?
Pr1. The figure shows the cros-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m-1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle a = 60° to its initial direction. 60 A a) Determine the sign of the charge of the particle. b) What is the radius of the particle's trajectory? c) Find the charge-to-mass (Q/m) ratio of the particle. (The magnetic permeability of vacuum is µo = 4n · 10-7 Vs/Am.)
A particle of mass “M” and charge “+Q” Travels at a velocity “V” in a plane perpendicular to a Magnetic Field of magnitude “B” as shown in the Picture. The particle will experience motion on a circular path. (not the question just context, also the pic is for probelm 1.) Assume similar conditions as problem 1 but now the proton, moves along the magnetic field undeflected. This new behavior can only be explained if there exist an external electric field in addition to the magnetic field. What is the magnitude and direction of such field? (you can disregard gravity) (prob 2 is the question:) sorry if its confusing)
Consider a charged particle moving through a region in which the electric field is perpendicular to the magnetic field, with both fields perpendicular to the initial velocity of the particle (see figure below). Such a device is called a velocity selector because for one particular value of the particle speed select the particle will travel straight through the device without being deflected, whereas particles with speeds that are either less than or greater than Vselect will be deflected. Consider a case with E = 505 V/m and B = 0.11 T. B Perspective view AE = 'select v>F'select (a) When protons are used, what speed is selected? m/s (b) What is the speed selected for Ca²+ ions? m/s (c) If you were to use your selector with Fions, what change would be necessary?
Derive an expression for the current in a system like shown, under the following conditions. The resistance between the rails is R , the rails and the moving rod are identical in cross section A and have the same resistivity ρ .The distance between the rails is l, and the rod moves at constant speed v perpendicular to the uniform field B . At time zero, the moving rod is next to the resistance R .
Two parallel conducting rails a distance l apart are connected at one end by a resistance R in series with battery of emf E. A conducting bar completes the circuit, joining the two rails electrically but free to slide along them. The whole circuit is perpendicular to a uniform magnetic field B, as shown in (Figure 1). The bar is initially at rest, and nothing is pulling it.
Here we have a wire with current I=3.6 A pointing out of the page. Let's draw an Amperian path around that wire as shown in the picture belwo, with side length d=0.4 m and direction indicated by the arrows. What is the magnitude of the quantity ∮B⃗ ⋅dℓ⃗ for that Amperian path, in T*m?
A rod of mass m and radius R rests on two parallel rails (see figure below) that are a distanced apart have a length L. The rod carries a current I in the direction shown and rolls along the rails without slipping. A uniform magnetic field B is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Use any variable or symbol stated above as necessary.) L. 2BIAL V = m/s M
A thin dielectric disk with radius a has a total charge +Q distributed uniformly over its surface (Figure 1). It rotates n times per second about an axis perpendicular to the surface of the disk and passing through its center. Find the magnetic field at the center of the disk. What magnetic field does this ring produce at the center of the disk? Express your answer in terms of the variables Q, a, r, dr, n, and the constant and µ0, if needed. Dielectric disk. radius a. charge +Q Ring, inner radius r. outer radius r + dr n rotations per second a Bat center of disk?