Three point charges are arranged: q1 = +2nC at (0,0) q2 = +4nC at (0, -1)...

Three point charges are arranged:
q1 = +2nC at (0,0)
q2 = +4nC at (0, -1)
q3 = -3nC at (3,0)
All distances are in meters.
(a) What is the electric field vector (in unit vector notation) at point P (3,-1)? Make sure to draw a diagram and show the E fields.
(b) What is the electric potential at point P?
(c) How much work is required to bring a fourth charge of q4 = + 5nC and place it at point P, and what will be the electric force acting on q4?
(d) What will be the total potential energy of the system of four charges?

Expert Solution

genius_generous answered 2 years ago

If charges Q1=25nC is located at (0,0) and charge Q2=-15nC is located at (2m,0). (a) Find...

If charges Q1=25nC is located at (0,0) and charge Q2=-15nC is located at (2m,0). (a) Find the resultant force on a third charge Q0=20nC located at (2m,2m), and (b) find the electric field due to the three charges at the point (1m,1m).

Three point charges are arranged as follows: Charge Q1 = + 5.00 nC is located at...

Three point charges are arranged as follows: Charge Q1 = + 5.00 nC is located at the origin. Charge Q2 = -3.00 nC is located at x = +4.00 cm, y = 0 cm. Charge Q3 = + 6.00 nC is at x = 0 cm, y = -3.00 cm. a. What is the net electric field at point P with coordinates x = 4.00 cm, y = -3.00 cm? (i) Express your answer as a vector in i, j,...

In the diagram below, there are three collinear point charges q1, q2 and q3

In the diagram below, there are three collinear point charges q1, q2 and q3. The distance between q1 and q2 is the same as that between q2 and q3. You will be asked to rank the Coulomb force on q1 due to q2 and q3.Part A Rank the six combinations of electric charges on the basis of the electric force acting on q1. Define forces pointing to the right as positive and forces pointing to the left as negative. Rank in increasing order...

Consider three point charges q1=q2=q3=Q. If q1 and q2 are located on the Y-axis at y=+a...

Consider three point charges q1=q2=q3=Q. If q1 and q2 are located on the Y-axis at y=+a and y= -a and the third charge is located at a point x on the X-axis. (a) find the force E exerted by q1 and q2 on q3 when q3 is located at the origin (b) what is the force F on q3 when q3 is located at an arbitrary value of x on the X-axis? (c) for what value of x is the...

Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and...

Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and q3 at 7 m. A) Find the potential at the point (0, 4 m) if q1 = q2 = q3 = 2 µC. The Coulomb constant is 8.99 × 109 N · m2 /C 2 Answer in units of kV. B) Find the potential at the point (0, 4 m) if q1 = q2 = 2 µC and q3 = −2 µC . Answer...

Three positive point charges of q1 = 3.3 nC, q2 = 6.2 nC, and q3 =...

Three positive point charges of q1 = 3.3 nC, q2 = 6.2 nC, and q3 = 1.0 nC, respectively, are arranged in a triangular pattern, as shown below. Find the magnitude and direction of the electric force acting on the 6.2 nC charge.

arranged q1 to q2 to q3 a is between q1 and q2 b is between q2...

arranged q1 to q2 to q3 a is between q1 and q2 b is between q2 and q3 Let a=3 m, b=7 m, q1=2 C, q3=-3 C. What must q2 be for q1 to feel no net force. b) Let a=3 m, b=8 m, q1=4 C, q2=5 C, q3=-5 C. What is the magnitude of the electric field a distance c=4 m vertically above q2 i.e. located at (x,y)=(a,c)?

1. Two point charges q1 and q2 are 2.90 m apart, and their total charge is...

1. Two point charges q1 and q2 are 2.90 m apart, and their total charge is 20 µC. Note that you may need to solve a quadratic equation to reach your answer. (a) If the force of repulsion between them is 0.090 N, what are the two charges (in µC)? smaller value = larger value = (b) If one charge attracts the other with a force of 0.509 N, what are the two charges (in µC)? smaller value = larger...

A system of point charges includes q1= +1 microC at x1 = 2m, y1 =2m, q2=...

A system of point charges includes q1= +1 microC at x1 = 2m, y1 =2m, q2= -1 microC at x2= -3m, y2= -3m, q3 = +3microC at the origin. A) what is the electric potential at location x = 1m, y = -1m? B) what is the electric potential energy Ue (i.e PE) of the system of charges? energy C) What is the electric field Ex and Ey components, magnitude E and directional angle at x=-2m, y= +3m?

A system of point charges includes q1= +1 microC at x1= 2m, y1= 2m; q2= -1...

A system of point charges includes q1= +1 microC at x1= 2m, y1= 2m; q2= -1 micro C at x2= -3m, y2= -3m; q3= +3 microC at the origin. a) What is the electrical potential (i.e. the voltage) at location x=1m, y= -1m? b) What is the electrical potential energy UE (i.e. PE) of the system of charges? c) What is the electrical field Ex and Ey components, magnitude E, and directional angle at x= -2m, y= 3m?

Question