(1) Imagine that we have an electron traveling due west from the capitol of the united...

(1) Imagine that we have an electron traveling due west from the capitol of the united states steps. It is traveling at 98.94% of the speed of light.

(a) What is the force on the electron from the magnetic field?

(b) What is the radius of curvature of the path that it follows?

Solutions

Expert Solution

The magnetic field B is defined from the Lorentz Force Law, and specifically from the magnetic force on a moving charge:

The implications of this expression include:

1. The force is perpendicular to both the velocity v of the charge q and the magnetic field B.

2. The magnitude of the force is F = qvB sin? where ? is the angle < 180 degrees between the velocity and the magnetic field. This implies that the magnetic force on a stationary charge or a charge moving parallel to the magnetic field is zero.

3. The direction of the force is given by the right hand rule. The force relationship above is in the form of a vector product.

When the magnetic force relationship is applied to a current-carrying wire, the right-hand rule may be used to determine the direction of force on the wire.

From the force relationship above it can be deduced that the units of magnetic field are Newton seconds /(Coulomb meter) or Newtons per Ampere meter. This unit is named the Tesla. It is a large unit, and the smaller unit Gauss is used for small fields like the Earth's magnetic field. A Tesla is 10,000 Gauss. The Earth's magnetic field at the surface is on the order of half a Gauss.

Magnetic interactions with charge

Magnetic force applications

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

An airliner passes over an airport at noon traveling 510 mi divided by hr due west....

An airliner passes over an airport at noon traveling 510 mi divided by hr due west. At 1 : 00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 570 mi divided by hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2 : 30 p.m.

Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection...

Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection 4 seconds later. At the same time, Joshua leaves the intersection heading north in his car so that his position 4 seconds later is 26 feet from the intersection. If, at that instant time, Joe's speed is 8 feet per second and Joshuas' speed is 12 feet per second, find the rate at which the distance between the two cars is changing to the...

1. An army recruit is on a training exercise and instructed to walk due west for...

1. An army recruit is on a training exercise and instructed to walk due west for 8 km, then in a north-easterly direction for 4 mi, and finally due north for 15,840 ft. How far will he be from where he started? 2. A tittle turtle is placed at the origin of an xy grid drawn on a large sheet of paper. Each grid box is 1.0 cm by 1.0 cm. The turtle walks around for a while and finally...

1.) You are living in the United States and are thinking of traveling to Germany 6...

1.) You are living in the United States and are thinking of traveling to Germany 6 months from now. You can purchase an option to buy euros now at a fixed rate of $1.50 per euro 6 months from now. How is the option like an insurance policy? 3.) You buy stock worth $50. In one year, it pays a dividend of $5 and is worth $60 right after the dividend is paid. What are the dividend income component, price...

1. Imagine we have two heat reservoirs maintained at temperatures 0 Celsius and 100 Celsius. We...

1. Imagine we have two heat reservoirs maintained at temperatures 0 Celsius and 100 Celsius. We wish to run a heat engine that extracts useful work from heat flow from the hot to the cold reservoir. (a) Calculate the maximum possible proportion of the heat flow that can be extracted as useful work. (b) Describe a heat engine that can, in theory, achieve the maximum possible proportion.

A person walks due north for 1 km then west for 1.5km then southwest for 2.5km....

A person walks due north for 1 km then west for 1.5km then southwest for 2.5km. Draw each displacement then find the total displacement using head to tail method. An Airplane flys southwest for 100km then east for 75km. What is the total displacement using component method of addition? Please show all work

We are going over ANOVAs and a question was raised "Let's imagine that we have a...

We are going over ANOVAs and a question was raised "Let's imagine that we have a research design looking at age of student (traditional versus non-traditional) and mode of learning (campus or online). What would the interaction be? What are the main effects?"

An object accelerates due west from rest, at a rate of 8m/s/s for 20s. After that...

An object accelerates due west from rest, at a rate of 8m/s/s for 20s. After that time, it instantaneously turns 30 degrees north of west and moves with constant speed for 10s (at the speed it was going before turning). Finally it turns up, so that its path has an angle of elevation of 50 degrees above the horizontal and slows down to rest at a rate of 3m/s/s. What is the objects displacement when it arrives at rest? Thank...

Now imagine you have been hired as an educational consultant to the president of the United...

Now imagine you have been hired as an educational consultant to the president of the United States. What policy would you recommend to the federal government concerning preschool education? What children should be targeted How much government involvement should there be? Who will bear the cost of these programs?

Imagine that you have placed a compass due east of of a wire where current equals...

Imagine that you have placed a compass due east of of a wire where current equals 2A (the wire is vertical and current travels from bottom to top). 1. If you turn the current on, how would the compass respond? (Does it change cardinal direction?) 2. How does the magnitude and direction of the total magnetic field change? PLEASE EXPLAIN!

Subjects