Are the units of e volts per meter, Physics

Assignment Help:

The x-component of the electric field categorized by an electric potential V(x,y,z) be capable of be expressed as -dV/dx holding y and z constant. This would propose that the units of E would be the units of V divided by the units of x that is in SI units volts per meter. Are the units of E volts per meter? If not what is incorrect with the argument above?

Ans:

dV is an minuscule electrical potential difference. It perhaps infinitesimal but the difference between two values of electric potential has the same units as a single value of electric potential namely volts whether it is infinitesimal or not. A similar case is able to be made for the infinitesimal difference in position dx. The amount dx is a distance infinitesimal though it may be. Like such it have units of distance. Note that the units of electric field are certainly N/C but this does not rule out V/m as units of electric field. In reality a volt is a J/C and since a joule is a Nm a volt is as well a Nm/C. Restore the V (volts) with Nm/C in the units V/m (volts per meter) yields (Nm/C)/m which is equivalent to N/C the SI units that we usually think of the electric field as having. In summary a V/m is a N/C so the argument that E cannot have units of V/m because it has units of N/C is clearly wrong.


Related Discussions:- Are the units of e volts per meter

Force, A lift is moving down with an acceleration of 3m/s. A ball is releas...

A lift is moving down with an acceleration of 3m/s. A ball is released 1.7m above the lift floor. How long will the ball take to hit the floor?

Describe the slope of the solid-liquid phase , A solid substance has a mola...

A solid substance has a molar volume which is  smaller than that of its liquid phase. Which of the following statements regarding the solid-liquid phase transition is/are true?

Valve & digital electronics: thermionic emission, (i) The procedure of ejec...

(i) The procedure of ejection of electrons from a metal surface by the application of heat is known as thermionic emission and emitted electrons are known as thermions and current

Explain frequency, Frequency:- The number of vibration done per second ...

Frequency:- The number of vibration done per second by an oscillation body is known its frequency. It is denoted by V. The S.I unit is Hz.

Explain about refracting telescopes, Refracting telescopes, if uncorrected,...

Refracting telescopes, if uncorrected, suffer from chromatic aberration.  Chromatic aberration occurs because: a)  red light is focused more strongly than blue light b)

#biot''s polariscope., Ask question #whether s component or p component pre...

Ask question #whether s component or p component present in the reflected light of Biot''s polariscope# Minimum 100 words accepted#

How fast must a ring rotate, If a ring were constructed as knid of a space...

If a ring were constructed as knid of a space station. How fast must a 50.0-m-radius ring rotate to simulate Earth's gravity?

Lab, Imagine a small observer is positioned in front of the cork in your pi...

Imagine a small observer is positioned in front of the cork in your picture above. As the cork approaches, the observer measures the wavelength of the waves passing by. How does th

Microprocessor, Microprocessor A combination of IC's cal led a micropr...

Microprocessor A combination of IC's cal led a microprocessor. The data is processed in the microprocessor according to the instructions given through the input devices.  A

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