Question

An isolated parallel-plate capacitor has a surface charge density. If the space between the plates is filled with a material of dielectric constant k = 3, find the induced surface charge density text(ind) on the dielectric.

a. 3σ
b. (σ)(3)
c. (2σ)(3)
d. (σ)(9)

Answer 1

The induced surface charge density on the dielectric is (σ)(3)

Step-by-step explanation:

The induced surface charge density (σ)(3)(option c) on the dielectric can be found using the formula:

σind = kσ

Where σ is the surface charge density without the dielectric and k is the dielectric constant.

So, if the surface charge density without the dielectric is σ, then the induced surface charge density on the dielectric is (σ)(3).