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DedPeter
11 days ago
6

A thin insulating rod is bent into a semicircular arc of radius a, and a total electric charge Q is distributed uniformly along

the rod. Calculate the potential at the center of curvature of the arc if the potential is assumed to be zero at infinity.
Physics
1 answer:
Softa [3K]11 days ago
4 0

Answer:

v = \frac{kQ}{a}  

Explanation:

We define the linear charge density as:

\lambda = \frac{Q}{L}

     Where L is the length of the rod, in this scenario the semicircle's length is L = πr

The potential at the center created by a differential element of charge is:

dv = \frac{kdq}{r}

          where k denotes Coulomb's constant

                     r signifies the distance from dq to the center of the circle

Thus.

v = \int_{}^{}\frac{kdq}{a}  

v = \frac{k}{a}\int_{}^{}dq

v = \frac{kQ}{a}     The potential at the semicircle's center

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Em_{f} / Em₀ = 0.30

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