A capacitor consists of a set of two parallel plates of area A separated by a distance d. This capacitor is connected to a battery that maintains a constant potential difference V across the plates. If the separation between the plates is doubled, the electrical energy stored in the capacitor will be:_______
a- doubled
b- unchanged
c- quadrupled
d- quartered
e- halved

Respuesta :

Answer:e

Explanation:

Given

Area of parallel plates is A

distance between plates is d

Potential difference between Plates is V

Capacitance is given by

[tex]C=\frac{\epsilon _0A}{d}[/tex]

If separation is doubled then capacitance become half

[tex]C'=\frac{\epsilon _0A}{2d}[/tex]

[tex]C'=\frac{C}{2}[/tex]

Electrical energy stored in the capacitor is given by

[tex]E=\frac{1}{2}CV^2[/tex]

When distance is doubled

[tex]E'=\frac{1}{2}\times \frac{C}{2}\times V^2[/tex]

[tex]E'=\frac{E}{2}[/tex]      

Therefore Energy is halved