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One electron and one proton of a hydrogen atom are at a distance of 2.2✕10−11m apart. What is the potential energy, in joules, of the electron in the proton’s field?






A spring 20cm long is stretched to 25cm by a load of 50N. What will be it's length when stretched by 100N assuming that the elastic limit is not reached

One electron and one proton of a hydrogen atom are at a distance of 2.2✕10−11m apart. What is the potential energy, in joules, of the electron in the proton’s field?




1. Electron and proton are placed at two different locations (one charge at each location). The locations have the same electric potential. Do these charges have the same electric potential energy?

a. Yes, if the electric potentials at the two locations are the same, the electric potential energies are also the same, regardless of the sign and magnitude of the charges placed at these locations.

b. No, because the electric potential energy EPE at a given location depends on the charge placed at that location as well as the electric potential V.

c. Both A and B

d. None of the above

2. Two electric charges are separated by 1.5 m (q1=-3.70µC and q2=+5.10µC). Find the electric potential midway between them.

a. 9.11𝑥104𝑉

c. 7.11𝑥104𝑉

b. 8.11 𝑥104𝑉

d. 6.11𝑥104𝑉



1. A proton is enclosed by a closed Gaussian surface. Find the magnitude of the electric flux through it.

a. 1.67x10−10 b. 1.82x10−12 c. 1.91x10−8

2. An electric charge has a magnitude of 1.5x10−19𝐶 is enclosed in a sphere. Find the electric flux through this surface.

a. 1.69x10−8 b. 1.59x10−8 c.1.49x10−8

3. The magnitude of electric flux is the same throughout the Gaussian surface. Is the statement CORRECT?

a. Yes b. No c. Maybe

4. An electric field passes through a surface produces an electric flux which has a magnitude of 46N.m(2)/C. Find the magnitude of the electric field if the surface area is 0.04𝑚2.

a. 1.64 N/C b.1.74 N/C c. 1.84 N/C

5. An electric field (E=6.2N/C) passes through a flat surface area(0.50𝑚2) with an angle of 60˚. What will be the magnitude of the electric flux?

a. 1.6N.m(2)/𝐶 b. 2.6N.m(2)/𝐶 c. 3.6N.m(2)/𝐶


Suppose there is an isolated charge (+1.5𝑥10−19𝐶) that is displaced from point A to B due to the electric force. As the charge moves, it produces an electric field which has a magnitude of 6.9 N/C. Find the work done by the electric force of the charge if it moves 1.5 m from its original position.


1. An electric charge inside a sphere (r=0.81m) has a magnitude of +4.8x10−18𝐶. Find the electric flux through this surface.

2. An electric field (E=4.5N/C) passes through a flat surface area (0.30 m) with an angle of 45˚. What will be the magnitude of the electric flux?

3. A closed surface which encloses a charge has an electric flux of 15.8𝑁.𝑚 2 . 𝐶 What is the magnitude of the charge?


The Hydrogen Atom: The electron with charge -1.6 X 10 -19 C and proton with charge 1.6 X 10 -19 C of a hydrogen atom are separated by a distance of approximately 5.3 x 10 -11 m. Find the magnitude of the electric force between the two particles. 


What is the magnitude of the repulsive force of two protons in a nucleus if the charge on each proton is 1.6 X 10 -19 C and the protons are 3 X 10 -15 m apart?


Two point charges q1 = 25nC and q2 = -75nC are separated by a distance of 3.0 cm. Find the magnitude and direction of (a) the electric force that q1 exerts on q2 and (b) the electric force that q2 exerts on q1.