Electric potential at center of charged rod

In summary, electric potential is a measure of the amount of electric potential energy at a point in an electric field. It is calculated by dividing electric potential energy by the amount of charge present. The electric potential at the center of a charged rod can be calculated using the formula V = (kQ)/L. As you move away from the center of a charged rod, the electric potential decreases due to a decrease in electric field strength. Electric potential and electric field are related by the formula E = -∇V, where E is the electric field, V is the electric potential, and ∇ is the gradient operator.
  • #1
gruba
206
1

Homework Statement


Find potential of a uniformly charged rod of length 2a

Homework Equations


-Superposition

The Attempt at a Solution


[tex]dV=\frac{kλdx}{r}, r=x[/tex]
[tex]V=λk\int\limits_{-a}^a \frac{1}{x}\mathrm dx=0[/tex]

Potential at point B is zero. Is this correct?
 

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  • #2
No. Your integral doesn't exist. But even before, what is it you are integrating, and over what are you integrating ?

As a check: it is likely that V = 0 at infinity, so it can't be 0 at pont B.
 

Related to Electric potential at center of charged rod

What is electric potential?

Electric potential is a measure of the amount of electric potential energy that is present at a point in an electric field. It is also known as voltage.

How is electric potential calculated?

Electric potential is calculated by dividing the electric potential energy by the amount of charge present at a point in an electric field.

What is the electric potential at the center of a charged rod?

The electric potential at the center of a charged rod is dependent on the length and charge of the rod. It can be calculated by using the formula V = (kQ)/L, where k is the Coulomb's constant, Q is the charge of the rod, and L is the length of the rod.

How does the electric potential change as you move away from the center of a charged rod?

The electric potential decreases as you move away from the center of a charged rod. This is because the electric field strength decreases as you move further from the source of the charge.

What is the relationship between electric potential and electric field?

Electric potential and electric field are closely related. The electric field is the force per unit charge, while electric potential is the work done per unit charge. They are related by the formula E = -∇V, where E is the electric field, V is the electric potential, and ∇ is the gradient operator.

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