Magnitude and direction of the force on the dipole, Physics

Assignment Help:

In class, we learned that the force on a dipole can be written as F = (p.Δ)E

This force can be used to sort particles with no net charge but with a dipole moment in a method called dielectrophoresis (Google it).  This method is often used in biomedical applications to sort particles such as living cells.

Let's work through a problem where we build a dielectrophoresis system.

A particle with  electric dipole moment  p  of magnitude 10-25 Ccm, pointing in the y-direction, is placed midway between two large conducting plates at position xo = 5 cm as shown below.  Each plate makes a small angle Φo = 1o with respect to  the x-axis, with length L=10 cm as indicated, and separated by distance d = 1 mm on the left-hand side. 

The top plate is maintained at potential Vo = 1 V and the bottom plate is maintained at zero potential.  Assume the plates also extend a distance L = 10 cm in the z-direction.

(a) Calculate an expression for the potential between the plates (ignoring the dipole).  Ignore any fringing fields at the edges of the plates. This is the same problem at the end of lab 2.

(b) What is the value of the potential at the centre of the dipole?

(c) Calculate an expression for  the electric field between the plates (due to the plates not the dipole).

(d) What is the magnitude and direction  of the field at the centre of the dipole?

(e) What is the magnitude and direction of the force on the dipole?

(f) The plates in this problem are to be used in a dielectrophoresis experiment to  separate  two different particles of mass 10-8 g and 10-10 g, both with the dipole moment p as defined above. If the particles are initially at rest  at the position shown in the figure below, how long should one run the experiment to separate the two particles by 1 μm?

2176_magnitude and direction of the force on the dipole.png


Related Discussions:- Magnitude and direction of the force on the dipole

What is magnetic maps, Over the universe differ in magnitude from place to ...

Over the universe differ in magnitude from place to place. It is get that many places have the similar value of magnetic components. The lines are illustrated connecting all places

Explain first law of newton, Explain Newton's First Law In 1665, at the...

Explain Newton's First Law In 1665, at the age of 23, Newton developed his famous Laws of Motion. They are commonly known as Newton's first, second and third law. Aside from th

Calculate the change in the child kinetic energy, A 15-kg child experiences...

A 15-kg child experiences an acceleration of 0.25 m/s2 as she is pulled 1.7 m horizontally across the floor by her sister. Calculate the change in the child's kinetic energy.

Measure the ratio of power factor of the circuit, Given below are two elect...

Given below are two electric circuits A and B Measure the ratio of power factor of the circuit B to the power factor of circuit A.

Radial magnetic filed in galvanometer, How theta between plane of the coil ...

How theta between plane of the coil and magnetic field remains constant

Microwave, Write an assembly program to make a microwave. Need: 1.    T...

Write an assembly program to make a microwave. Need: 1.    The microwave has a clock (hh:mm:ss am/pm) and the user should be able to alter the clock at any time. 2.    For c

Compound pendulum, the centre of oscillation of a meter stick suspended abo...

the centre of oscillation of a meter stick suspended about a transverse axis is located at the 10cm mark.Determine at what other positions could the meter stick be suspended and ha

Truck rear ends car- momentum and collisions, Truck Rear Ends Car Colli...

Truck Rear Ends Car Collisions among objects are governed through laws of momentum and energy. While a collision occurs within an isolated system, the total momentum of the sys

Explain newton second law - linear motion, Explain Newton Second Law - Line...

Explain Newton Second Law - Linear Motion If objects only followed Newton's first law then everything would be traveling in straight lines at a constant velocity or at rest.  B

How long does ball is taken when it throws vertically, A boy throws a ball ...

A boy throws a ball vertically upward with a velocity of 6 meters per second. How long does it take the ball to return to the boy's hand? Ans: A boy throws a ball vertically

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd