Q4. Charge q₁ = 2.0 nC is located at (0, 0) and charge q2 = -4.0 nC is located at (-3.0 cm, 0). a) Sketch a diagram of the charge distribution. b) What is the electric potential at point A (2.0 cm,0)? c) What is the electric potential at point B (3.0 cm, 0)? d) What is the change of electric potential from A to B?

Two point charges q, = 2.2 nC and q2 = -1.5 nC are 13 cm apart. Point A is midway between the charges and point B is 12 cm from q, and 5 cm from q2. Calculate: a. the electric potential at point A and at point B b. the work done by the electric field on a charge of q3 = +3.6 nC that moves from A to B %3D

Please choose the correct answer and explain why:    A single charge of +Q is introduced into an otherwise empty region of space. It is placed a distance R away from you. What is the electric potential energy of this one-charge sustem?    a. 0  b. keQ/R   c. keQ2/R  d. keQ/R2  e. keQ2/R2

How much work does a uniform electric field of strength, 3,000 N/C, perform on a +2.0-µC point charge that moves a distance of 30 cm in the direction of the electric field?   a. 3.6 mJ   b. 1.8 mJ   c. 3.0 mJ   d. 4.2 mJ   e. 2.4 mJ

Consider the figure shown below. Q1=1.5×10−9 C and Q2=−8.4×10−9 C. Charges Q1, Q2, and point '3' are all located at integer coordinates that you can read off of the graph. Assume the electric potential at infinity is zero. a) Calculate the electric potential at the location marked '3'.

Please solve for a, b, c

Item 3 A uniform electric field of magnitude 5.9x105 N/C points in the positive direction. Part A Find the change in electric potential between the origin and the point (0, 6.0 m). Express your answer using one significant figure. ► View Available Hint(s) AV = Submit Part B AV = ΤΙ ΑΣΦΑ Find the change in electric potential between the origin and the point (6.0 m, 0). Express your answer using two significant figures. ► View Available Hint(s) Submit 15. ΑΣΦ V ? V

Directions: Choose the letter of the correct answer. Write “E" if you think the correct answer is not part of the options. 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. 9.11x10+v c. 7.11x10+V b. 8.11 x10+V d. 6.11x10+V

3- A positive charge q is uniformly distributed over the area of a disk, of radius R, placed horizontally on the x-y plane as shown in the figure. a) Find an expression for the charge density o. b) Find an expression for the electric potential at a point P on the axis passing through the center of the disk and at a distance z from its center. c) Check that your formula is consistent with what you would expect for the case when z →± ∞ R dr 10 r √² + z² Hint: Divide the disk into ring shaped elements, each of area da = 2ër dr, then integrate over r (from r=0 till r=R).

X 2) Four charges are arranged in the pattern shown. They have equal magnitudes of 1nC but have the signs shown. Three locations, labeled X, Y, and Z, are highlighted. 2 1 A 2 m 2 m 2 m i. The electric potential energy stored by this arrangement of charges is A. Positive Negative B. C. Zero ii. The electric potential at point Z (using the standard reference point) is A. B. A. 0 B. 1.5 V C. 4.5 V D. 6.0 V E. 12 V iii. The electric potential at point X (using the standard reference point) is 3.0 V 3.3 V C. 4.5 V D. 7.5 V E. 18 V 2 m 3 (+) 2 m 4 m 4