Practice Exam 1

Practice Exam 1 - WMU Summer II 2021
Prepared By: Tawfiq Abuaita
Supervised By: Dr. Asghar Kayani

This practice exam is meant to help you revise the main concepts of Exam 1. This practice exam is NOT comprehensive. My advice to you is to study the lectures carefully and then solve this practice exam at the end at your studying.
In real exam 1, you need to show your work unlike this practice exam.
Instructions
Solve each question below on paper and then enter your final answer ONLY in the box under each question. After you finish, click "Submit Answers" and your score will appear to you. It will also show you the right final answers of each question and a feedback to your work and understanding of the material.
Questions

Q1: Point charges q and Q are positioned as shown below. If q= +2.0μC, Q= -2μC, a= 3.0cm and b=4.0cm.


A) What is the the electric force exerted on the charge Q? (include signs to indicate positive or negative x direction and Express your answer in mN/C)

  mN/C

B) What is the electric potential difference VA-VB ? (Express your answer in KJ/C)

  KJ/C

C) What is the electric field at point B? (include signs to indicate positive or negative x direction and Express your answer in KN/C)

  KN/C

D) How much external energy is needed to bring a charge (q0 =6mC) to point A? (Express your answer in J)

  J

Q2: A particle (charge = 40μC) moves directly toward a second particle (charge = 80μC) which is held in a fixed position. At an instant when the distance between the two particles is 2.0 m, the kinetic energy of the moving particle is 16 J.

A) Determine the distance separating the two particles when the moving particle is momentarily moving with a kinetic energy of 2 J. (Express your answer in meters)

  meters

B) How far apart will they be when closest to one another?(Express your answer in meters)

  meters

Q3: Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (-5.0 nC/m2) is distributed over the parallel plane defined by z= 2.0 m.

A) Determine the magnitude of the electric field for any point with z= 3.0 m. (Express your answer in N/C)

  N/C

B) What would be the electric flux on a plate that has an area of 3m2 and lies on z=3.0m?(Express your answer in N.m2/C)

  N.m2/C

C) If a charge of 3mC lies at the point (2, 3, 3) in space, what is the electric force exerted on that charge?(Express your answer in N)

  N

Q4: CA charge of +3.0μC is distributed uniformly along the circumference of a semicircle with a radius of 20 cm.

A) What is the magnitude of the electric field at the center of the semicircle? (Express your answer in KN/C)

  KN/C

B) What is the electric potential at the center of the semicircle?(Express your answer in KJ/C)

  KJ/C

C) How much external energy is required to bring a charge of 25μC from infinity to the center of the semicircle?(Express your answer in J)

  J

Q5: A solid conducting sphere of radius a=4m carries net positive charge 3nC uniformly distributed. A conducting spherical shell of inner radius b=8m and outer radius c=10m is concentric with the solid sphere and carries a net charge -6nC.
Using Gauss’s law,

A) find the electric field at a point p that is at distance 2m from the center. (Express your answer in N/C)

  N/C

B) find the electric field at a point x that is at distance 5m from the center.(Express your answer in N/C)

  N/C

C) find the electric field at a point y that is at a distance 9m from the center.(Express your answer in N/C)

  N/C

D) find the electric field at a point z that is at a distance 12m from the center. (Express your answer in N/C)

  N/C

You can enter your comments below to ask questions or if you see something that may be wrong and must be corrected!

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