Electrical Capacitance

Question 1

What is the formulaic form of capacitance of a conductor?

Answer 1

Capacitance of a conductor is given by:

C=q/V

Question 2

What is the potential energy of a charged conductor?

Answer 2

Potential energy of a charged conductor is given by:

U=1/2 qV= 1/2 CV²= 1/2 q²/C

Question 3

What is the formulaic form of Energy Density?

Answer 3

Energy Density is given by:

u= 1/2 ε°E²

Question 4

What is the formulaic form of Capacitance of a parallel plate capacitor?

Answer 4

Capacitance of a parallel plate capacitor is given by:
C= kε°A/d
;when medium is air, k=1

Question 5

What is the formulaic form of capacity of a parallel plate capacitor partially filled with dielectric substance?

Answer 5

The capacity of a parallel plate capacitor partially filled with dielectric substance is given by:
C= ε°A/[(d-t)+t/K]
; if dielectric is completely filled, t=d
if dielectric is air, t=0

Question 6

What is the magnitude of induced charge on dielectric?

Answer 6

The magnitude of induced charge on dielectric is given by:

q’=q(1-1/K)