Max Electric Field on 4.3mC Ring of Charge: Radius 4cm

In summary, the maximum electric field on the axis of a ring of charge 4.3mC with a radius of 4cm can be determined by using equation 1 and differentiating it to find the required x value. However, another method is to plot the function on a graph and find the point of maximum, which is at x = a/(sqrt 2). At this point, the electric field is 4.246*10^18N/C, which is high but reasonable considering the charge of the ring. This method leads to the same answer as using differentiation.
  • #1
chopticks
8
0
The problem statement: Determine the maximum electric field on the axis of a ring of charge 4.3mC. The radius is 4cm.

I think the key is to use ekvation 1 and derivate to determine the maximum electric field but I'm not sure. Q is the charge, x is axis of the ring, a is the radius. Any suggestion?
 

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  • #2
Correct eqn. Differentiate and equate to zero to get the reqd x.
 
  • #3
instead of differentiate, I plot the function in an graph. accodring to the graph there is only on max point where x is approx 0.12m and the electric fields is 4.246*10^18N/C. The electric field is etremley high but since the charge of the ring is 4.3mC it is quite reasonable. Is it physical correct reason?
 
  • #4
x= a/(sqrt 2) at the pt of maximum.
 
  • #5
Shooting star said:
x= a/(sqrt 2) at the pt of maximum.

now I get the same answer as you=), thanks alot!
 

FAQ: Max Electric Field on 4.3mC Ring of Charge: Radius 4cm

What is the formula used to calculate the electric field on a ring of charge?

The formula used to calculate the electric field on a ring of charge is E = kQx/r^2, where k is the Coulomb constant, Q is the charge on the ring, x is the distance from the center of the ring, and r is the radius of the ring.

How is the electric field affected by the charge and radius of the ring?

The electric field is directly proportional to the charge on the ring and inversely proportional to the square of the radius. This means that as the charge increases, the electric field also increases, and as the radius increases, the electric field decreases.

What is the unit of measurement for electric field?

The unit of measurement for electric field is Newtons per Coulomb (N/C).

Is the electric field constant at all points on the ring?

No, the electric field is not constant at all points on the ring. It is strongest at the edge of the ring and decreases as you move towards the center. At the center of the ring, the electric field is zero.

How does the electric field on a ring of charge differ from the electric field of a point charge?

The electric field on a ring of charge is more complex than that of a point charge because it varies with distance from the center of the ring. Additionally, the electric field of a point charge is spherically symmetric, while the electric field of a ring of charge is not.

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