Question

A battery is connected purely in parallel to three capacitors of
C_{1} = 6 micro-farads, C_{2} = 9 micro-farads, and
C_{3} = 11 micro-farads. Then, one additional capacitor of
8 micro-farads is added in parallel to the other three capacitors
and due to this, the total stored energy of all the capacitors
increases by 196 micro-joules (it is 196 micro-joules larger with
four capacitors compared to with three capacitors). Then, the same
four capacitors are connected in SERIES to the same battery. What
is the voltage across the fourth, additional, capacitor, in Volts,
when connected in series?

Answer #1

3) A 38 volt battery is connected purely in series to four
capacitors of C1 = 6 micro-farads, C2 = 5
micro-farads, C3 = 11 micro-farads, and another unknown
capacitor. The charge in C1 is 26 micro-coulombs. What
is the value of unknown capacitor in micro-farads?

9 equal capacitors are connected purely in parallel to a 8 volt
battery. The same capacitors are then connected to the same battery
purely in series. The total stored energy in the parallel
configuration is 626 micro-joules greater than the series
configuration. What is the value of each capacitor in
micro-farads?

4) Five capacitors are connected purely in parallel. Three of
them have same amount of charge stored in them (all have Q), the
fourth capacitor has 5.9 times more charge than Q, and the fifth
capacitor has 3.6 times less charge than Q. If the equivalent
capacitance of all the capacitors is 51 microfarads, what is the
capacitance of the fifth capacitor in microfarads? 5) Five
capacitors are connected purely in series to a 17 volt battery.
Three of them...

Capacitor C1 = 10.0 micro F is connected in series to parallel
combination of capacitors C2=7.0 microF and C3=8.0 microF. This
circuit is connected to a battery delivering V=15.0 V. Find charge
stored in capacitor C2 in mircoC.

Two parallel-plate capacitors C1 and
C2 are connected in series to a battery. Both
capacitors have the same plate area of 3.40 cm2 and
plate separation of 2.65 mm. However, the first capacitor
C1 is filled with air, while the second
capacitor C2 is filled with a dielectric that
has a dielectric constant of 3.40. The total charge on the series
arrangement is 13.8 pC.
(a) What is the battery voltage?
V
(b) What is the potential difference across each...

Capacitor C1=4.0 microF is connected in parallel to the series
combination of capacitors C2=13.0 microF anf C3=14.0 microF. This
combination if connected to a battery of V=15.0 V. Find potential
difference on capacitor C3.

Three Capacitor are connected in series ; C1 = 2.9 ; C2 = 2.6 ;
C3 = 5.4 all micro Farads. What is the equivalent Capacitance ?

A parallel combination of two capacitors, C1 and
C2 where C2=2C1, is connected to a
battery. If the charge stored on C1 is 8.68
×10-6 C and the total energy U stored in the combination
is 14.83 ×10-9 Joule, then the capacitance of
C2 is:

Two identical capacitors C1 and C2 are
connected in series with a battery with voltage V. A dielectric is
inserted between the plates of C2.
A) Does inserting the dielectric increase or decrease the
capacitance of C2? Explain.
B) Does inserting the dielectric increase or decrease the
equivalent capacitance of the two capacitor system? Explain.
C) Is there more charge on the capacitors before or after the
dielectric is inserted? Explain.
D) Which system has a larger potential drop across...

Two capacitors of equal area, but with different capacitances
C1 and C2, are connected to a battery in
series. If C1 = 3C2, which one of the
following statements is true?
a) The electric energy stored in C1 is 3 times
smaller than C2.
b) The amount of charge on C1 is 3 times larger than
C2
c) The electric field between the two plates of C1 is
9 times larger than C2
d) The voltage across C1 is 3...

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