Capacitors and Dielectrics

CAPACITANCE

Q=CV

the capacitance of parallel plate capacitor

E= Q/(Aε_° )

V=ED=Qd/(Aε_° )

E=Q/(4πε_° r^2 )

C=〖Aε〗_°/d

IN PARALLEL

IN SERIES

ENERGY STORED

CHARGING

DISCHARGING

CAPACITANCE WITH DIELECTRIC

V_T=V_1=V_2=V_3

1/R_eq =1/R_1 +1/R_2 +1/R_3

C_eq= C_1+C_2+C_3

Q_total=Q_1+Q_2+Q_3

I_total=I_1+I_2+I_3

1/C_eq =1/C_1 +2/C_2 +3/C_3

I_total=I_1=I_2=I_3

Q_total=Q_1=Q_2=Q_3

C=Q^2/2C

U=1/2 CV^2

U=1/2 QV

U=1/2 ε_° E^2

i=ε/R e^(-t/RC)

τ=RC

i=-I_° e^(t/RC)

C=KC°=K 〖Aε〗°/d

v_total=V_1+V_2+V_3