Purchase Solution

Energy required to bring a charge of 61 µC from infinity to the center of the circle

Not what you're looking for?

Ask Custom Question

A charge of 1 µC is distributed uniformly along the circumference of a circle with a radius of 30 cm. How much external energy is required to bring a charge of 61 µC from infinity to the center of the circle? Let ke = 8.98 x 109 nm2/C2. Answer in units of J.

Purchase this Solution
Solution Summary

With full calculations and explanations, the problem is solved.

Solution Preview

Because electric field at any point on axis of ring is given as:

E = ke *q*x/(r^2 + x^2)^(3/2)

where r is the radius of the ring and x is the distance of the point taken on axis of ring, from the center of the ring.

because,

dV/dx = -E

potential at the center of ring:

=> V = ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
Recent Feedback
  • " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
  • "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
  • "Answer was correct"
  • "Great thanks"
  • "Perfect solution..thank you"
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Work required to move electric charges to infinity

    This is the energy required to bring these charges from infinity (place of zero potential) to their current location. So in order to take them back we need to supply an energy opposite to this. So the sign would change.

  • Four charges are placed at the corners of a square, where q is positive

    Initially there is no charge in the center of the square. 1) Find the work, W required to bring the charge Qf from infinity and place it at the center of the square. 2) Find the magnitude of the electric force on the charge q when it is placed

  • Electrostatic potential energy & electrical potential

    A charge of -1.5 µC is fixed in place. From a horizontal distance of 0.0675 m, a particle of mass 6.75 10-3 kg and charge -2.8 µC is fired with an initial speed of 25.0 m/s directly toward the fixed charge.

  • electric field, potential, and force of the point charge

    The distance from the center of the square to A or B is So the potential at point A or B due to the charge Q at the center is Now the potential at point A or B is We want the potential to be 0, so Hence, a charge of needs to be fixed

  • Charged concentric spheres

    A conducting sphere with radius a = 0.31 m has a net charge Qa = +4.5 µC. A thin, non-conducting spherical shell of radius b = 0.95 m surrounds the sphere and is concentric with it.

  • Electrostatics: Charges induced on spherical conductors

    Then if a charge of q'=-4 µC and a mass of 0.3kg is released from rest at a distance of r=0.6m directly to the right of the q in the described figure, which is the halfway point between the two shells.

  • Electric potential energy: Work and Total Energy

    As work done to bring a q charge from infinity to origin is 0, hence it will not contribute to potential energy.

  • Working with electrostatics -

    7.What voltage is required to store 7.5 10-5 C of charge on the plates of a 7.0 µF capacitor? 1.The anode (positive terminal) of an X-ray tube is at a potential of +90 000 V with respect to the cathode (negative terminal).

  • Work done in assembling a solid-uniformly charged sphere

    By the definition of the potanial, Vr is the energy required to bring +1 C charge from r = µ to r = r. Therefore, the energy required to bring the shell to r = r is Vr * Qshell. We will call this energy dU.

View More Related Solutions