# 0.6 Lorentz force  (Page 2/4)

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1: charge is stationary i.e. v=0

2: when charge is moving in the direction of magnetic field or in opposite direction i.e. θ=0 or 180 and sin θ =0.

Further, if only electrical field exists, then only electrical force applies on the point charge and the point charge is accelerated in the direction of electrical field ( E ). If only magnetic field exists, then only magnetic force applies on the point charge except for the cases mentioned above (when magnetic force is zero) and the point charge is accelerated in the direction of vector expression q( vXB ). If both electrical and magnetic field exist, then charge is subjected to both kinds of force provided conditions for zero magnetic force are not met. In the last case, acceleration of the point charge is in the direction of resultant force :

$\mathbf{a}=\frac{\mathbf{F}}{m}=\frac{q\left[\mathbf{E}+\left(\mathbf{v}X\mathbf{B}\right)\right]}{m}$

Problem : An electron, moving along x-axis in an uniform magnetic field B , experiences maximum magnetic force along z-axis. Find the direction of magnetic field.

Solution : Since the particle experiences maximum magnetic force, the angle between velocity and magnetic field vector is right angle. Now, magnetic force in z-direction is also perpendicular to the magnetic field. Hence, magnetic field is either in positive or negative y-direction. By applying Right hand rule of vector cross product, we find that it is oriented in positive y-direction if the charge is positive. But, charge on electron is negative.

Hence, magnetic field is oriented along negative y-direction.

## Nature of magnetic force

The nature of magnetic force is different to electrical force. First, it is not linear in the sense that it does not operate in the direction of magnetic field. This is unlike electric force which acts in the direction of applied electric field. The magnetic force, as we have seen in the preceding section, acts in the side-way direction following vector cross product rule. Also, magnetic force is relatively weaker as magnetic field is a weaker field in comparison with electric field.

The first of the two distinguishing characteristics as described above has important implications. Since magnetic force is perpendicular to the direction of velocity, it can only change the direction of motion – not its magnitude. The magnetic force can not change the magnitude of velocity i.e. speed of the charged particle. In turn, we can say that magnetic force can not bring about a change in the kinetic energy of the charged particle as speed remains same due to magnetic field.

An immediate fall out of the magnetic force is very interesting. This force does no work. We know work is scalar dot product of force and displacement. Now, velocity is time rate of displacement. It means velocity and displacement have same direction. Since magnetic force is perpendicular to velocity, it is also perpendicular to small elemental displacement. What it means that magnetic force is always perpendicular to displacement. Thus, work done by magnetic force is zero.

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
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Sherica
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Sherica
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Tamia
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Uday
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Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
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what's the easiest and fastest way to the synthesize AgNP?
China
Cied
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I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
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Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
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what is nanomaterials​ and their applications of sensors.
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preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
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how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
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silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
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