Question

There are one positive charge +3Q and one negative charge −Q which are fixed on the...

There are one positive charge +3Q and one negative charge −Q which are fixed on the x-axis with coordinate (−d,0) and (d,0) respectively. We would like to place a third one, carrying +2Q, at some place such that the net electric force on it is zero.

I said that the third charge should be placed to the right of the negative charge (-Q) so that the +3Q and -Q charges are canceling out.

k(3Q)(Q)/(x^2) = k(2Q)(Q)/(x-2d)^2

distance from 3Q to the third charge is x, and so the distance from -Q to 2Q should be (x-2d). The answer I get is (3+sqrt(3)) but the answer on the key says (2+sqrt(2)).

Homework Answers

Answer #1

PLease like if u r satisfied with 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
Consider a positive charge q that is fixed at the origin (x = 0) and a...
Consider a positive charge q that is fixed at the origin (x = 0) and a negative charge −3q that is fixed along the xaxis at the point x = a. Calculate the electric field (magnitude and direction) at the position(s) where the electric potential V = 0. (only find a point on x-axis)
Two charge particles, +2q and -3q are on an axis at x = -10 and x...
Two charge particles, +2q and -3q are on an axis at x = -10 and x = 30 respectively. At one point, a third charged particle can be placed such that the net force acting on it would be zero. a) Calculate the location where the third charge should be placed to create this situation? b) Should the third charge be positive or negatively charged? Explain your reasoning.
A positive charge and a negative charge are placed on the x-axis. Q1 = q is...
A positive charge and a negative charge are placed on the x-axis. Q1 = q is fixed at x=0 and Q2 = - 4q is fixed at x = 4 cm. Where on the x-axis the electric field due to these two charges is zero?
Two positively charged particles, each with charge Q, are held at positions (-A, 0) and (A,...
Two positively charged particles, each with charge Q, are held at positions (-A, 0) and (A, 0) as shown in the following figure. A third positively charged particle with charge q is placed at (0, H). Find an expression for the net electric force on the third particle with charge q. Show that the two charges Q behave like a single charge 2Q located at the origin when the distance H is much greater than A.
A particle with charge Q is on the y axis a distance A from the origin...
A particle with charge Q is on the y axis a distance A from the origin and another particle with charge q is on the x axis a distance D from the origin. The value of D for which the x component of the force on the second article is the greatest is: A)0 B) A C) Sqrt(2)A D) A/2 E) A/sqrt 2
Coulomb's law for the magnitude of the force F FF between two particles with charges Q...
Coulomb's law for the magnitude of the force F FF between two particles with charges Q QQ and Q ′ Q′Q^\prime separated by a distance d dd is |F|=K |Q Q ′ | d 2 |F|=K|QQ′|d2 , where K= 1 4π ϵ 0 K=14πϵ0 , and ϵ 0 =8.854× 10 −12 C 2 /(N⋅ m 2 ) ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space. Consider two point charges located on the x axis: one charge, q 1 q1q_1 = -20.0...
Two particles, each having positive charge q q , are positioned on the x x axis...
Two particles, each having positive charge q q , are positioned on the x x axis at x=−L/2–√ x = − L / 2 and x=+L/2–√ x = + L / 2 . What would be the potential at the origin if one of the charges on the x x axis were negative and the other one positive?
An uncharged spherical conducting shell surrounds a charge -q at the center of the shell. When...
An uncharged spherical conducting shell surrounds a charge -q at the center of the shell. When electrostatic equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively A. +q, -q B. -q, +q C. +q, -2q D. +2q, -q E. +q, 0 The answer for the question should be A, but I do not know how to get to that answer.
A positive charge, q​1​​=2.20nC , is located at the origin (x=0 m,y=0 m). A negative charge,q​2​​=−6.00nC,...
A positive charge, q​1​​=2.20nC , is located at the origin (x=0 m,y=0 m). A negative charge,q​2​​=−6.00nC, is located on the x-axis at x=4 m,y=0 m). Calculate the magnitude of the electric field at the location marked by the letter “X” on the figure below at (x=4 m,y=3 m).  
Q1) Two equal positive charge q are on the y axiz. One at y=+a and the...
Q1) Two equal positive charge q are on the y axiz. One at y=+a and the other at y=-a (a). Show that the electric field on the x-axis is along the x axis with Ex=2kqx(x^2+y^2) ^-3.2. Show that near the origin, when x is much smaller than a, Ex is approximately 2kqx/a^3. (b). Show that for values of x much larger than a Ex=2kq/x^2. Why is this result something you should have been able to at least almost guess? Q2....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT