Consider two capacitors, C1 = 10.0 %u03BCF and C2= 20.0 %u03BCF and a 9.0 Volt s
ID: 2119762 • Letter: C
Question
Consider two capacitors, C1 = 10.0 %u03BCF and C2= 20.0 %u03BCF and a 9.0 Volt source.
a) Find the equivalent capacitance when these two capacitors are connected in series.
b) Find the equivalent capacitance when these two capacitors are connected in parallel.
c) Find the charge stored in the 20 %u03BCF capacitor when they%u2019re connected in parallel.
d) Find the charge stored in the 10 %u03BCF capacitor when they%u2019re connected in series.
e) In which configuration (series or parallel) can more total ENERGY be stored? Justify your answer.
Explanation / Answer
C1=10 uF==>C2=20 uF==>Vsource=9 V==>
a) Ceq series:10*20/(10+20)=6.67 uF
b) Ceq parallel:10+20=30 uF
c) Q=C*V=20 uF*9 V=180 uC
d) Q=C*V=6.67 uF*9 V=60 uC
e) energy=Q*V/2==>series:60 uF*9 V/2=270 E-6==>
parallel:(180 uC+10 uF*9 V)*9/2=1215 E-6==>parallel has more total energy