Question

Four charges (-e,e,-e,e) in a row are separated from their neighboring charges by 3×10^(-10)m. Calculate the...

Four charges (-e,e,-e,e) in a row are separated from their neighboring charges by 3×10^(-10)m. Calculate the work required to remove the positive charge on the right side to infinity.

Homework Answers

Answer #1

let d = 3*10^-10 m
q1 = -e
q2 = +e
q3 = -e
q4 = +e
potential at the location of right side charge,

Vi = k*q1/(3*d) + k*q2/(2*d) + k*q3/d

= k*(-e)/(3*d) + k*e/(2*d) + k*(-e)/d

= -(5/6)*k*e/d

potential at infinite distance, Vf = 0

Workdone in moving the charge q4 to infinity, W = q4*(Vf - Vi)

= e*(0 - (-(5/6)*k*e/d ) )

= (5/6)*k*e^2/d

= (5/6)*9*10^9*(1.6*10^-19)^2/(3*10^-10)

= 6.4*10^-19 J <<<<<<<<<<<<-----------------------------Answer

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Four +10 µC point charges are at the corners of a square of side 11 m....
Four +10 µC point charges are at the corners of a square of side 11 m. Find the potential at the center of the square (relative to zero potential at infinity) for each of the following conditions. (a) All the charges are positive kV (b) Three of the charges are positive and one is negative kV (c) Two are positive and two are negative kV
Charges of –1.0 μC and +1.0 μC are separated by 1.0 m with the negative charge...
Charges of –1.0 μC and +1.0 μC are separated by 1.0 m with the negative charge to the left of the positive charge. Another charge of +2.0 μC can be placed at various positions near them. Find the magnitude and direction of the force acting on the third charge for the following situations.(a) Let the third charge be 1.0 m to the right of the positive charge. (b) Let the third charge be 1.0 m to the left of the...
Two charges, -17 C and +5.3 C, are fixed in place and separated by 3.9 m....
Two charges, -17 C and +5.3 C, are fixed in place and separated by 3.9 m. (a) At what spot along a line through the charges is the net electric field zero? Give the distance of the spot to the positive charge in meters (m). (Hint: The spot does not necessarily lie between the two charges.) (b) What would be the force on a charge of +14 C placed at this spot? Limit you answer to 3 significant figures.
Four equal +6.00-μC point charges are placed at the corners of a square 2.00 m on...
Four equal +6.00-μC point charges are placed at the corners of a square 2.00 m on each side. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2). Show your work. a) What is the electric potential (relative to infinity) due to these charges at the center of this square? b) What is the magnitude of the electric field due to these charges at the center of the square? Please show work and a pic for reference THNKS
Four particles each have a positive charge of 6.00 x 10-16 C. The charges are arranged...
Four particles each have a positive charge of 6.00 x 10-16 C. The charges are arranged on the four corners of a square that is 25.0 cm on a side. What is the net force experienced by the particle located on the bottom-left corner of the square?
A positive 1.5 x 10-9 C charge is brought in from infinity to a point (2m,0)....
A positive 1.5 x 10-9 C charge is brought in from infinity to a point (2m,0). How much work did you do to move the charge to this position? W = Now another positive charge 1.5 x 10-9 C is moved from infinity to the coordinates (1m,2m). How much additional work did you do to bring in the second charge? (The original charge is held in place.) W = Finally, a negative 1.5 x 10-9 C charge is moved from...
Four point charges each having charge Q are located at the corners of a square having...
Four point charges each having charge Q are located at the corners of a square having sides of length a. (a) Find a symbolic expression for the total electric potential at the center of the square due to the four charges (Use any variable or symbol stated above along with the following as necessary: ke.) Vtotal =      (b) Find a symbolic expression for the work required to bring a fifth charge p from infinity to the center of the...
1.Four charges are located on the corners on of a square. The sides of the square...
1.Four charges are located on the corners on of a square. The sides of the square have a length of 0.05 m. The upper left corner has a charge of q, the upper right corner has a charge of – q, the lower left corner has a charge of 2q, and the lower right corner has a charge of -2q. If the magnitude of q is 10-7 C, find the magnitude of the force exerted on the charge at the...
a) The figure shows an arrangement of two -1.9 nC charges, each separated by 5.0 mm...
a) The figure shows an arrangement of two -1.9 nC charges, each separated by 5.0 mm from a proton. If the two negative charges are held fixed at their locations and the proton is given an initial velocity v as shown in the figure, what is the minimum initial speed v ( in km/s) that the proton needs to totally escape from the negative charges? (k = 1/4πε0 = 8.99 × 109 N.m2/C2, e = 1.60 × 10-19 C, mproton...
1. Consider two positive point charges on the x-axis of equal charge, (7/3) x 10-9 C....
1. Consider two positive point charges on the x-axis of equal charge, (7/3) x 10-9 C. One charge is placed at x = -3.00 m and the other at x = 3.00 m. What is the electric potential at the midpoint between the charges, x = 0 m? 2. Consider two positive point charges on the x-axis of equal charge, (7/3) x 10-9 C. One charge is placed at x = -3.00 m and the other at x = 3.00...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • As starting material we have 99.999999 at.% Si (= 8 nines or 8N). The only dopant...
    asked 4 minutes ago
  • In the Healthy Handwashing Survey, it was found that 64% of adult Americans operate the flusher...
    asked 6 minutes ago
  • Find the probability A bag contains five red balls and four white balls, if three balls...
    asked 15 minutes ago
  • You have the opportunity to invest $20 , with an uncertain return. To simulate uncertainty, we...
    asked 18 minutes ago
  • (True, False) 7. Cross-validation procedure is usually applied to estimate bias and variance.
    asked 22 minutes ago
  • Professor Jennings claims that only 35% of the students at Flora College work while attending school....
    asked 25 minutes ago
  • (True, False) 6. Self-organizational-map (SOM) is a special case of Multi-Dimensional-Scaling (MDS) in a two-dimensional grid...
    asked 26 minutes ago
  • During the requirement phase, the analyst will consult the users to identify the needs and constraints...
    asked 31 minutes ago
  • I purchased textbook solutions for Corporate Finance 11th edition. I purchased a free trial before I...
    asked 42 minutes ago
  • True, False)    5. Both PCA and PLS provide new variables (called components) that are linearly...
    asked 58 minutes ago
  • Discuss some of the practical applications of the Breakeven Analysis concept for an entrepreneur planning to...
    asked 58 minutes ago
  • True/ False: Boosting can combine the strength of several classification procedures (e.g., logistic, LDA, SVM) to...
    asked 59 minutes ago