Mr.Bomzh said:
Well I was speaking about a case where there are no other resistances, or the ones that are are negligible for the sake of simplicity , like a resistor connected to a battery.
Woah, hold on. This is a completely different problem. The underlying assumption through most of this thread has been that you're comparing resistors which have the same current running through them. I.e., you're comparing the electric field in two resistors which are in series. If you have two resistors in series, then the electric field will be strongest in whichever resistor has the highest resistance per unit length. However, that's
only because both resistors have the same current running through them. As I said before, the relevant formula is:
electric field = current * (resistance per unit length)
If you hook one resistor up to a battery, calculate the electric field, and then hook up a different resistor to that battery, that's a different question altogether, because the resistors won't have the same current flowing through them. You would have to find the current by Ohm's law, and then calculate the different electric fields using the formula above.
Given your posts so far, inclined to agree with sophie that this resistance per unit length approach may not be best for you. If you want to find the electric field strength in a circuit, here's what you should do.
1) Solve the circuit. Use Ohm's law to find all the voltages across all the resistors.
2) Find the electric field in a given resistor using: (electric field) = voltage/(length of resistor)
Then you can compare the electric fields as needed.
Mr.Bomzh said:
It's just that I have a different plan in mind I'm not asking this for a circuit or so much for the basic learning stuff, I'm asking this more for an idea or ideas I ahve in my mind which are kinda complicated so I can't solve them always myself.
I'm sure Sophie kinda knows what I'm talking about since he participated in my previous threads.
the idea is more about that I need a high electric field from low voltage in a small area , which would be surrounded by a dielectric material , like a current path in the middle of a dielectric , but ofcourse it has to have high resistance so that I wouldn't need much current, yet i need the e field.
I was just wondering what would happen if a dielectric placed between the plates of a capacitor had a resistive layer inbetween which would be attached to a circit and current would pass in it , we know that the charges in the dielectric align themselves according to the charges on the plates oppositely ofcourse.
I was just wondering what would happen to the alignment of the dielectric charges if the dielectric had a e field inside of it.
Any standard course in electromagnetism (particlarly one with an engineering focus) should answer all these questions. Parallel plate capacitors with different layers of dielectric/conductive materials are pretty commonly seen in such courses.
Mr.Bomzh said:
Another quesion I wanted to ask and I already did but didn't received an answer was this, the electric field said as volts per metre , from which point does it start to fall of as 1/r2 according to the law, does it satrt to fall of from the battery + terminal to which the wire leading up to the resistor is connected or dopes it start to fall off from the resistor or where?
The 1/r
2 law applies only to point charges. A circuit is not a point charge.
You might think that the electric field should get weaker farther away from the battery, but it turns out that there's actually a feedback mechanism which sustains the electric field away from the battery, making it not look like a dipole anymore. I won't say more than that because it gets really ugly really fast (there was a thread on this a little while ago). Thinking of the battery as a dipole really isn't prudent in this case. You're best off just trusting circuit theory here. Find the electric field by calculating voltages, not by thinking of the battery as a collection of point charges.
Try finding the electric fields in your diagram again, but this time do what I said above. Find the voltages across each of the elements: first the wire, then the resistor, then the other wire. Divide those voltages by the length of each element (wire, resistor, then wire) to get the electric field inside those elements. (Assign some small resistance to each of the wires to make things easier). What do you find?
Hint: the electric field doesn't get "used up" as you go along the wire.
Mr.Bomzh said:
Well according to what @Zapperz said yesterday in his post , there should be no overall difference in the electric field in a resistor of given ohms say 100 and given PD , the only reason that a shorter resistor could have a higher field strength in a given point along it's way than a longer one is because the same field due to the same resistance and same PD now has to occupy a smaller/shorter space , this should be correct? I agree to what Zapper said and aslo to what you sophie said it;'s just that I wanted to know the reason behind this. Comparing this to the inclined lines of Zappers post and the car running uphil to what you Sophie said I can conclude that even though the energy used by the car to get to the same potential hegith is the same in both cases , in a longer climb the energy used per a unit length is smaller due to the unit length being longer itself right? the opverall energy is the same but the energy per unit or the field per given point is stronger, my inner voice tells me I should be correct about this one. I hope so.
If the voltage drop is the same, then the electric field is just the voltage drop divided by the distance over which that voltage is dropped (the length of the resistor in this case). So yes, shorter distance would mean stronger electric field.
Again, though, make sure you understand which values are being held constant and which ones aren't. If the current is constant, that's one thing, but if the voltage is constant that's another thing. If the voltage is constant, then the resistance has no effect on the electric field. If the voltage is constant, the only thing affecting the electric field is the length over which that voltage is dropped.
I really think you should try to take a good course on electromagnetism if you want to understand this stuff better. What started out as a pretty simple question seems to be turning into you needing explanations of a lot of things which would all be covered in basic EM/circuits classes. I don't mean to reject your questions, but the explanations you need are far more than a single forum thread can offer.