Advanced physics problems on electric fields.

In summary, Secret Agent Jane Pond is testing a new particle ray gun that has particles with charge -2e and a mass of 50u. To determine the particles' speed, she needs a region of uniform electric field and sets up two uniformly charged sheets, one positive and one negative, at a 60° angle. The particle ray enters the region between the sheets with an initial velocity parallel to the intersection axis. The net electric field at the entry point can be found by ignoring edge effects and using the electric field equation in terms of σ and ε0. The particle ray will ultimately strike the sheet with the negative charge, as determined by the direction of the electric field. If σ=25 nC/m2, the particles'
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Homework Statement




Secret Agent Jane Pond is testing out a new particle ray gun. She knows the particles in the ray have charge -2e and a mass of 50u. (u = atomic mass unit.) To determine the speed of the particles in the ray, Jane needs a region of uniform electric field. She takes two very large uniformly charged sheets with charge densities of ±σ , and arranges the sheets so that the positive sheet is horizontal and the negative sheet makes a 60° angle with the horizontal. She then shoots the particle ray through the region of space between the sheets, entering the region 1.0 mm vertically from the horizontal sheet and 4.0 mm horizontally to the side of the intersection point, with an initial velocity parallel to the intersection axis. (a) Find an expression for the net electric field at the entry point, ignoring edge effects. (i.e., you can treat the sheets as infinite.) Your answer should be in terms of σ and ε0. (b) Which sheet will the particle ray ultimately strike? Explain how you know. (c) Jane finds that the location where the ray hits the sheet is 5.0 cm from the entry edge of the sheet. If σ=25 nC/m2, what is the initial speed of the particles in the ray?

Homework Equations





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Related to Advanced physics problems on electric fields.

1. What is an electric field?

An electric field is a physical field that is created by electrically charged objects. It describes the force that a charged particle would experience at any point in space.

2. How is the strength of an electric field measured?

The strength of an electric field is measured by its electric field intensity, which is defined as the force per unit charge at a given point in the field. It is measured in units of newtons per coulomb (N/C).

3. What is the relationship between electric field, electric potential, and electric potential energy?

Electric field and electric potential are closely related, with the electric field being the negative gradient of the electric potential. Electric potential energy is the work required to move a charge from one point to another in an electric field.

4. How do you calculate the electric field from a point charge?

The electric field from a point charge can be calculated using the equation E = kQ/r^2, where k is the Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

5. How do electric fields impact the motion of charged particles?

Electric fields can exert a force on charged particles, causing them to accelerate or change direction. This is the basis for many applications of electric fields, such as in particle accelerators and electric motors.

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