Instead of one positive charge outside a
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Chapter 2 Solutions
Modern Physics for Scientists and Engineers
- How might I be able to figure out how to do Problem 4 from my Electromagnetism Homework? This class usually requires some knowledge of Calculus 3, or from things mentioned in the class. For a while, the class has been introducing Newtonian accelerations and Relativistic accelerations. The Problem reads, "Suppose one has an electron in an electric field of 30kV/m and it is accelerated over a distance of 10m. What is its speed? (Think of this as a loop along which the 30kV/m are applied and the particle simply traverses this electric field again and again until it covers a distance of 10m.)." Here are some pictures that may help. Also, this problem is perhaps wanting the non-relativistic convention since the next problem asks for the relativistic convention.arrow_forwardv HĽ (b) System S is moving to the left at speed v = 0.8 c relative to S. Find the force on the charge q as measured in S. Do it in 2 ways.arrow_forwardHow might I answer Problem 4 in my Electromagnetism problem? In this course, we've used advanced math like Calculus 3 in order to compute things out. Before I quote Problem 4, I would need to quote Problem 3 because Problem 4 is an extension of 3. 3 reads, "Suppose you're at rest in the lab frame and an electron is moving along the x-direction at a speed of .999c. Compute its magnetic field in the lab frame." Now, Problem 4 reads, "What is the electric field that the lab observer sees for the electron in Problem 3?" I have some pictures that may help. I think that it's confusing because I'm thinking about what I would see vs. what an electron would see. In my notes, I have O', but I'm not sure if that is for the electron.arrow_forward
- An electron flies into a parallel plate capacitor with length L=10cm and width d=2cm, with an electric field E=1000kV/cm (see the Fig.). 1. What should the maximum velocity be for the particle to be trapped, i.e., hit capacitor plates? [electron mass -mp= 9.1 × 10-31kg, its charge is q= −1.6 × 10−19C, the electric force is found as ? = ??]. Assume that electron flies right in the middle of a capacitor. 2. Find and plot its trajectory for this case (that is, case of maximum velocity).arrow_forward(a) Through what potential difference does an electron have to be accelerated, starting from rest, to achieve a speed of 0.980c? (b) What is the kinetic energy of the electron at this speed? Express your answer in joules and in electron volts.arrow_forwardIn a mine, a dekoville of mass m = 400 kgcoal is drawn as shown in Figure 1. A short timeFor , the function of the force in the cable is F=(3200t2) N and tThe unit of is sec. The initial (t=0, s=0) speed of the carv =2m/sec, find the distance traveled by the car after t=2sec.arrow_forward
- Scientists in the laboratory create a uniform electric field Ē = 1.0 x 10°k [V/m] in a region of space where B = 0. What are the fields in the reference frame of a rocket travelling in the positive x direction at 1.0 × 106 [m/s]?arrow_forwardIn a linear collider, two particles travel toward each other from opposite directions before colliding. If, in the lab reference frame, an electron travels toward the collision point at 2/3 c and a positron travels at 3/4 c, at what speed does the electron travel toward the positron in the positron’s reference frame? (Be sure to show all of the steps of your calculation without using a calculator.) vpe = Please write your process as much as possible and a detailarrow_forwardAn object is moving with ordinary speed 0.5c in S reference frame along a direction making an angle (tan =) with respect to the positive x - axis. Find the components u, and u.,, of the ordinary velocity. And find the components and ny of the proper velocity.arrow_forward
- A particle has a lifetime of 121 nanoseconds, as measured in its own moving reference frame. It travels at a speed of 0.983c, where c is the speed of light. What distance will it travel before disintegrating, as measured in the reference frame of a fixed observer? Express your answer in meters and keep three significant digits.arrow_forwardClock A travels to the right at a speed v-√√ relative to clocks B and C. As A passes B, all clocks read 12:00 (shown in the figure below). These readings could be seen simultaneously by a stationary observer O, midway between B and C, though O would make the observation at some later time. (a) Clock C reads 6:00 as A passes C. What does clock A read? P.M. (b) At what time does observer O see the three clocks read 12:007 P.M.arrow_forwardA conductor carrying a current in a magnetic field experiences a force given by the Lorentz equation. It might be written q v * B where the velocity and the magnetic fields are vectors and their product is a vector cross product. In terms of current the charge is carried through a distance L in time t, and the current is the charge per time so the force is I L * B where again the vector cross product comes in and the current is I. How must the wire be oriented in the magnetic field so that it does not experience a force at all? There is no direction in which the force is zero. The wire has to be parallel to the field with the current going opposite to the field. The wire has to be parallel to the field with the current going in either direction in the wire. The wire has to be perpendicular to the fieldarrow_forward
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