Question

If R is the radius of a spherical conductor, V_m the dielectric strength, then the maximum electric-field magnitude to which it can be raised is ______.

Options

• `"V"_"m"/"R"`

• `"V"_"m"^2/"R"`

• `"V"_"m"/"R"^2`

• `"V"_"m"^2/"R"^2`

Answer 1

If R is the radius of a spherical conductor, V_m the dielectric strength, then the maximum electric-field magnitude to which it can be raised is `underline("V"_"m"/"R")`.

Explanation:

The highest electric field intensity that a medium can withstand without breaking down is called dielectric strength.

On the surface of the spherical conductor, the electric field intensity reaches its greatest value.

`"E"_"m" = "q"_"m"/(4piepsilon_0"R"^2) = "V"_"m"/"R"`