Imagine a Positively Charged Particle Entering a Uniform Electric Field - Engineering Assignment Help

Assignment Task:

Task:

1. Imagine a positively charged particle entering a uniform electric field generated by two parallel plates, as shown below.
The magnitude of the electric field is 2.5 ×10 5 N/C, and the speed of the proton when it enters is 1.5×10 7 m/s.
Neglect the force of gravity in this problem.
a. Which force/forces is/are acting on the proton in the x and the y directions while it is between the parallel plates? What are their magnitudes and directions?
b. What is the proton’s final velocity in the x direction as it emerges from the parallel plates?
c. By what distance, d, has the proton been deflected when it leaves the plates?
Now, an electron is sent into the same field, from the left, with the same initial velocity as the proton.
d. By what distance, d, has the electron been deflected when it leaves the plates? Be sure to indicate the direction.
e. What would the initial speed of the electron in the x-direction need to be for it to have the same magnitude of deflection as the proton?
f. Express this speed in terms of the speed of light, c = 3.0 x 10 8 m/s. Comment on your result.

2. Imagine a circuit as shown below, with parallel plate capacitors with empty space (vacuum) between their plates, and with the value for C equal to 0.155 F.

a. What is the equivalent capacitance for the entire circuit, in terms of C? What is this value numerically?

b. Given a battery with potential difference, ?V = 12 V connected to the circuit, how much charge will accumulate on each of the three capacitors?
c. How much energy will each capacitor store, in Joules?
d. How much energy will the entire circuit store?
e. Explain how your answers to parts b, c and d would change if these capacitors were filled with some dielectric material.

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