Question 929: Electrostats & Capacitance

Question

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by

Accepted Answer

According to question, electric field varies as
E = Ar
Here r is the radial distance.
At r = a, E = Aa      Ã¢ÂÂ¦(i)
Net flux emitted from a spherical surface of radius a is $${\phi _{net}} = {{{q_{en}}} \over {{\varepsilon _0}}}$$
$$ \Rightarrow \left( {Aa} ight) 	imes \left( {4\pi {a^2}} ight) = {q \over {{\varepsilon _0}}}$$   [Using equation (i)]
$$ 	herefore q = 4\pi {\varepsilon _0}A{a^3}$$

Answer

$$4\pi {\varepsilon _0}A{a^3}$$

Answer

$${\varepsilon _0}A{a^3}$$

Answer

$$4\pi {\varepsilon _0}A{a^2}$$

Answer

$$A{\varepsilon _0}{a^2}$$

Electrostats & Capacitance

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by

Choose the correct answer: