Understanding E-Field Equations and Notation in Electronic Engineering

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The discussion revolves around understanding the total electric field equation in electronic engineering, specifically how to interpret the notation used in the equations. A participant seeks help for their boyfriend, who is struggling with the concept of the electric field as a vector sum of charges. The notation "x'" is clarified as representing a variable for a source point in the context of electric fields. Additionally, the importance of symmetry in solving these problems is highlighted, along with the need to sum differential elements of voltage or electric fields. This exchange emphasizes the complexities of electric field equations in electronic engineering studies.
charlotty
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ive already posted this is another bit of the forums, and only just noticed the Electronic Engineering section!

My boyfriend is doing a dgree in electronic engineering and is studying fields and devices at the moment and is really stuck so i was wondering if anyone could help!

His notes say "the total e field is the vector sum over all the N charges. If we line up our axes so that the charges are on the x-axis then we get..."
a really long equation. (i would write it here, but there's no way to get all the equations symbols!)

THe equation has a x' in it, and he has no idea what the notation means.

im probably not making any sense to anyone, but i just wanted to see if i could help him (im studying for a law degree so this is all spanish to me!)

thanks so much,

charlotty
 
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charlotty said:
ive already posted this is another bit of the forums, and only just noticed the Electronic Engineering section!

My boyfriend is doing a dgree in electronic engineering and is studying fields and devices at the moment and is really stuck so i was wondering if anyone could help!

His notes say "the total e field is the vector sum over all the N charges. If we line up our axes so that the charges are on the x-axis then we get..."
a really long equation. (i would write it here, but there's no way to get all the equations symbols!)

THe equation has a x' in it, and he has no idea what the notation means.

im probably not making any sense to anyone, but i just wanted to see if i could help him (im studying for a law degree so this is all spanish to me!)

thanks so much,

charlotty

Actually there is a way to get all of those crazy symbols. Here is an example,

\oint_S \vec E \cdot d\vec S = \frac{Q_{enc}}{\epsilon_0}

There is a lot of symmetry in your problem, how are you going about solving it?

EDIT:
I just noticed that you did not say an infinite rod. So my symmetry comment above is misleading. Instead you will need to sum of differential elements of voltage or electric fields.

V = \frac{1}{4 \pi \epsilon_0} \int_{V'} \frac{\rho}{R} \, dv'
 
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Also, the notation x' is usually used to denote a variable corresponding to a source point. IE, the vector \vec r' would point to the location of a point charge.
 
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I am trying to understand how transferring electric from the powerplant to my house is more effective using high voltage. The suggested explanation that the current is equal to the power supply divided by the voltage, and hence higher voltage leads to lower current and as a result to a lower power loss on the conductives is very confusing me. I know that the current is determined by the voltage and the resistance, and not by a power capability - which defines a limit to the allowable...

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