How does, the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder?

Question

How does, the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder? (A)  E propto (1/r2)  (B)  E propto (1/r)  (C)  E propto r2  (D)  E propto r

Tardigrade Admin · Accepted Answer

Electric field due to outer plate is zero and so the electric field due to inner cylindrical charged conductor varies inversely as the distance from the axis.

Q. How does, the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder?

$E \propto \frac{1}{r ^{2}}$

$E \propto \frac{1}{r}$

$E \propto r^{2}$

$E \propto r$

Electric field due to outer plate is zero and so the electric field due to inner cylindrical charged conductor varies inversely as the distance from the axis.

Q. How does, the electric field (E) between the plates of a charged cylindrical capacitor vary with the distance r from the axis of the cylinder?

E∝r21​

E∝r1​

E∝r2

E∝r

Electric field due to outer plate is zero and so the electric field due to inner cylindrical charged conductor varies inversely as the distance from the axis.

$E \propto \frac{1}{r ^{2}}$

$E \propto \frac{1}{r}$

$E \propto r^{2}$

$E \propto r$