Deriving V-E Relation for Uniformly Charged Rod at Radial Distance r > a"

AI Thread Summary
To derive the relation between the electric potential V and the electric field E for a uniformly charged rod at a radial distance r greater than its radius a, Gauss' Law is applicable to find the electric field E. The electric field E can be expressed as E = λ/(2πε₀r), where λ is the linear charge density. The relationship between the electric field and potential is given by E = -dV/dr, which leads to the potential V being calculated through integration of E. The confusion arises from the interpretation of deriving a relation, as it involves understanding the fundamental connection between E and V. Ultimately, the derivation clarifies how potential varies with distance from the charged rod.
SpatialVacancy
Messages
24
Reaction score
0
Could someone help me out on this problem?

Derive a relation between the potential V and the magnitude of the Field E at a radial distance r from the axis
of a very long uniformly charged rod of radius a (r > a).
 
Physics news on Phys.org
I'm not following that properly. At first I would have thought you use Gauss' Law for electrostatics to work out the E field at a point r from the rod and then use E = -dV/dr, but that doesn't seem right :/.
 
I'm not sure what you mean by "derive a relation between..." since \vec E = -\nabla \Phi is fundamental.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find the electric field of a long line charge at a radial distance
Replies
1
Views
2K
Pressure versus stress in uniformly charged sphere
Replies
11
Views
1K
Potential and Electric Field near a Charged CD Disk
Replies
2
Views
2K
Why is electric field at the center of a charged disk not zero?
Replies
4
Views
3K
Induced charge on a conducting sphere sliced by a plane
Replies
2
Views
1K
What is the magnitude of the field at point R?
Replies
5
Views
2K
Relationship between radial distance and charge density of a capacitor
Replies
2
Views
2K
Electric field at a point inside a non-uniformly charged sphere
Replies
6
Views
1K
Charge on a grounded conducting sphere in a uniform electric field, after ungrounding and movement
Replies
1
Views
1K
Van der Graaf Generator: Charge, Potential and Redesign Questions
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top