Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m x 8.0 m. If the electric potential is taken to be zero at infinity, what is the potential at the geometric center of this rectangle?

Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m x 8.0 m. If the electric potential is taken to be zero at infinity, what is the potential at the geometric center of this rectangle?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 78PQ: An infinite number of charges with q = 2.0 C are placed along the x axis at x = 1.0 m, x = 2.0 m, x...

See similar textbooks

Related questions

Q: The figure shows a point charge on each vertex of an equilateral triangle with sides of length 64.7…

Q: In the figure particles with charges q1 and (b) negative values of x at which the net electric…

Q: In the figure particles with charges 9₁ = +9e and q2 = -13e are fixed in place with a separation of…

Q: In the figure a plastic rod having a uniformly distributed charge Q = -18.1 pC has been bent into a…

A: Given, Charge in a plastic rod, Q = -18.1 pC radius of the circular arc, R = 3.18 cm Potential at…

Q: Four identical point charges (6.0 nC) are placed at the corners of a rectangle which measures 6.0…

Q: The drawing shows six point charges arranged in a rectangle. The value of g is 7.50 μC, and the…

Q: Five point charges are situated at the corners of a regular pentagon whose side is 5cm as shown in…

Q: Four point charges lie at the corners of a square of side 10 cm, as shown in the following figure.…

A: Given: Four charges lie at the corners of a square of the side 10 cm. The magnitude of charges q1,…

Q: Two point charges are on the y axis. A 4.90-µC charge is located at y = 1.25 cm, and a -2.34-µC…

Q: Two point charges are on the y axis. A 5.00-µC charge is located at y = 1.25 cm, and a -2.44-µC…

A: A.) Total electric potential at the origin : VA= 2.38 x 106 V B.) Total electric potential at…

Q: Three point charges, Qi 15.4 µC, Q2 = -30.6 µC, and Q3 = 57.3 µC, are arranged as shown in the…

A: Given data:

Q: Two point charges q1 = 6.97 µC and q2 = 7.93 µC are placed at the corners of the base of an…

A: q1 = 6.97 μC q2 = 7.93 μC r = 3.71 m

Q: Four equal charges 3 µC are placed at the corners of a rectangle of sides 4.5 cm and 6 cm.…

A: FINDING ELECTRIC POTENTIAL AT CENTER.

Q: The drawing shows six point charges arranged in a rectangle. The value of q is 4.87 μC, and the…

Q: Two point charges of + q uC and - 2.0 pC are placed at the opposite corners of a rectangle as shown…

Q: Two +6.0 µC point charges are placed at the corners of the base of an equilateral triangle, as shown…

A: Given : Magnitude of charge Q1 = +6.0 x 10-6 CMagnitude of charge Q2 = +6.0 x 10-6 CDistance between…

Q: Three point charges, Q1=15.4 μC, Q2=−38.6 μC, and Q3=57.3 μC, are arranged as shown in the figure.…

A: V=kq/r Q1=15.4 μC, Q2=−38.6 μC, and Q3=57.3 μC From A 50.1cm, 70.85cm, 50.1cm

Q: Four point charges are equally separated by 1.00 m in air in a straight line with q1= 3 nC, q2= -4…

Q: Two +7.66-µC point charges are placed at the corners of the base of an equilateral triangle. At…

Q: Three point charges, Q1 = 12.4 µC, Q2 = -30.6 µC, and %3D Q3 = 67.3 µC, are arranged as shown in the…

A: Given Data: The charge Q1=12.4 μC The charge Q2=-30.6 μC The charge Q3=67.3 μC The diagonal of the…

Q: Four equal charges 4 µC are placed at the corners of a rectangle of sides 6 cm and 8 cm. Determine…

A: we will use the formula of electric field due to the individual charges and then we will add them…

Q: In the figure particles with charges q1 = +2e and q2 = -15e are fixed in place with a separation of…

A: (a) Positive value of x is, kq1x+kq2d-x=0x=d1-q2q1=26.9 cm1--15e2e=3.16 cm

Q: In the Bohr model of the hydrogen atom, an electron orbits around a proton at a distance of 5.29 x…

Q: Two point charges +3.4 µC and -6.10µC are separated by 1.20 m. What is the electric potential midway…

Q: Two point charges are on the y axis. A 5.10-µC charge is located at y = 1.25 cm, and a -2.48-µC…

A: The given values are,

Q: Two point charges are arranged at the vertices of a rectangle as shown below where q₁ = 2.00 μC and…

Q: Three point charges, Q1 = 12.4 uC, Q2 = -30.6 uC, and Q3 = 87.3 uC, are arranged on the corners of a…

Q: Three point charges with values q1 = 8.00 nC , q2 = 3.00 nC , and q3 = 5.00 nC are placed on three…

A: GivenQ1 = 8.00 x 10-9 CQ2 =3.00 x 10-9 CQ3 = 5.00 x 10-9 CQ4 = 2.00 x 10-9 CS = 5.00 m

Q: A solid conducting sphere of radius R = 1.351 m is charged, and the magnitude of the electric…

Q: Consider charges placed at the corners of a rectangle: The value of the Coulomb constant is 8.98755…

Q: A dipole consisting of charges +Q and -Q.with Q = 8.0 nC. is fixed to the y-axis. +Q is located at…

A: Given the magnitude of the charge of the dipole is, Q=8ηC the positive charge is placed at A, d…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which
measures 6.0 m x 8.0 m. If the electric potential is taken to be zero at infinity, what is the
potential at the geometric center of this rectangle?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 given

Step 2 formula used

Step 3 solution

Step 4 conclusion

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Four particles are positioned on the rim of a circle. The charges on the particles are +0.500 C, +1.50 C, 1.00 C, and 0.500 C. If the electric potential at the center of the circle due to the +0.500 C charge alone is 4.50 104 V, what is the total electric potential at the center due to the four charges? (a) 18.0 104 V (b) 4.50 104 V (c) 0 (d) 4.50 104 V (e) 9.00 104 V
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
The labeled points in Figure 20.4 are on a series of equipotential surfaces associated with an electric field. Rank (from greatest to least) the work done by the electric field on a positively charged particle that moves from to , from to , from to , and from to . Figure 20.4 (Quick Quiz 20.2) Four equipotential surfaces.
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P20.29. The rod has a total charge of 7.50 C. Find the electric potential at O, the center of the semicircle. Figure P20.29
Given two particles with 2.00-C charges as shown in Figure P20.9 and a particle with charge q = 1.28 1018 C at the origin, (a) what is the net force exerted by the two 2.00-C charges on the test charge q? (b) What is the electric field at the origin due to the two 2.00-C particles? (c) What is the electric potential at the origin due to the two 2.00-C particles? Figure P20.9
(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in Figure P16.13. (b) Repeat if the 2.00-C charge is replaced with a charge of 2.00 C. Figure P16.13 Problems 13 and 14.
A positive point charge q = +2.50 nC is located at x = 1.20 m and a negative charge of 2q = 5.00 nC is located at the origin as in Figure P16.18. (a) Sketch the electric potential versus x for points along the x-axis in the range 1.50 m x 1.50 m. (b) Find a symbolic expression for the potential on the x-axis at an arbitrary point P between the two charges. (c) Find the electric potential at x = 0.600 m. (d) Find the point along the x-axis between the two charges where the electric potential is zero.
Two particles, with charges of 20.0 nC and 20.0 nC, are placed at the points with coordinates (0, 4.00 cm) and (0, 4.00 cm) as shown in Figure P20.19. A particle with charge 10.0 nC is located at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges. (b) A fourth particle, with a mass of 2.00 1013 kg and a charge of 40.0 nC, is released from rest at the point (3.00 cm, 0). Find its speed after it has moved freely to a very large distance away.
A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure P20.1. The coordinates of point are (0.200, 0.300) m, and those of point are (0.400, 0.500) m. Calculate the electric potential difference using the dashed-line path. Figure P20.1
The two charges in Figure P16.12 are separated by d = 2.00 cm. Find the electric potential at (a) point A and (b) point B, which is hallway between the charges. Figure P16.12
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.
A proton is released from rest at the origin in a uniform electric field in the positive x direction with magnitude 850 N/C. What is the change in the electric potential energy of the proton-field system when the proton travels to x = 2.50 m? (a) 3.40 X I0-l6J (b) -3.40 X 10-16J (c) 2.50 X 10-6J (d) -2.50 X 10-6J (e) -1.60 X 10-19J