Question

20. Electrostatic energy
density corresponding to
electric field E is U. The
electrostatic energy density
corresponding to electric
field 4E is​

Answer 1

Answer:

Energy density = 1/2 ( ipsilon not ) E^2

E is made 4 times so energy density will become 16 times

Answer 2

Given :

➳ Electrostatic energy density corresponding to electric field E is U.

To Find :

⟶ Electrostatic energy density corresponding to electric field 4E.

Formula :

⇒ Formula of electrostatic energy density in termas of electric field intensity is given by

$\bigstar\:\underline{\boxed{\bf{U=\dfrac{1}{2}{\epsilon_o}E^2}}}$

• U denotes energy density
• E denotes electric field
• εo denotes permittivity

Calculation :

$:\implies\bf\:U\propto E^2$

$:\implies\sf\:\dfrac{U}{U'}=\dfrac{E^2}{{E'}^2}$

$:\implies\sf\:\dfrac{U}{U'}=\dfrac{E^2}{(4E)^2}$

$:\implies\sf\:\dfrac{U}{U'}=\dfrac{1}{16}$

$:\implies\underline{\boxed{\bf{U'=16U}}}$