Asked Jun 11, 2019

In the figure particles 1 and 2 of charge q1 = q2 = +22.40 × 10-19 C are on a y axis at distance d = 19.0 cm from the origin. Particle 3 of charge q3 = +20.80 × 10-19 C is moved gradually along the x axis from x = 0 to x = +6.88 m. At what values of x will the magnitude of the electrostatic force on the third particle from the other two particles be

(a) minimum and

(b) maximum?

What are the (c) minimum and (d) maximum magnitudes?



Image Transcriptionclose

x 2 on


Expert Answer

Step 1

Let, F1 and F2 be the force at the location of charge 3, due to charge 1 and 2 respectively.

Let, x be the distance from the origin to the position of charge 3.

Since, the magnitude of charges on charge 1 and 2 are equal, F1 and F2 will also become equal.

F1 = F2=F


Image Transcriptionclose

P+,*N F sino F. F, cosO F, cos F, sino

Step 2

Force due to charge 1 and charge 2 on charge 3 is,



Image Transcriptionclose

ką,as (x2+d2) F23= Since, q Therefore, F F3 = F eny

Step 3

At a distance x from the origin, where charge ...


Image Transcriptionclose

F 2F cose net kq,a3 x+d) +d x net 2kq,gzx (1) net (x +d


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: In the figure, a particle moves along a circle in a region of uniform magnetic field of magnitude B ...

A: Magnetic force given is positive. Velocity vector is along – y direction and magnetic field is along...


Q: Chapter 33, Problem 020 Radiation from the Sun reaching Earth (just outside the atmosphere) has an i...

A: The intensity of the Sun’s radiation reaching Earth is 1.37 kW/m2. All the incident energy is absorb...


Q: How long does it take electrons to get from a car battery to the starting motor? Assume the current ...

A: Time taken by electrons is,


Q: Can you show how to work this please?

A: The ideal gas equation is,


Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The f...

A: Given:


Q: A crane lifts a 425 kg steel beam vertically upward a distance of 95 m. How much work does the crane...

A: The work done by the crane can be calculated using following steps:Given:


Q: Torque can be calculated by multiplying the force (N) applied at 90 ∘to the lever arm at a distance ...

A: Torque is computed by taking the cross product of force and distance from the of point of force and ...


Q: A small block is attached to an ideal spring and is moving in SHM on a horizontal frictionless surfa...

A: a)The expression for the angular frequency,


Q: An object is made up of three masses connected by massless rods of fixed length. Mass A is located a...

A: The expression for the moment of inertia,