Question

Now let’s look at a specific problem involving series and
parallel combinations of capacitors. Two capacitors, one with
C1=6.0μF and the other with C2=3.0μF, are connected to a potential
difference of Vab=18V. Find the equivalent capacitance, and find
the charge and potential difference for each capacitor when the two
capacitors are connected **(a)** in series and
**(b)** in parallel.

**PART A:** Repeat this example
for Vab=18V and C1=C2=10μF. What is the equivalent
capacitance for the capacitors when they are connected in series?
(Ceq=?)

Express your answer in microfarads to two significant figures.

**PART B:** What is the charge on each capacitor
from Part A when the capacitors are connected in series?
(C1=C2=?)

Express your answer in microcolumbs as an integer.

**PART C:** What is the equivalent capacitance for
the capacitors from Part A when they are connected in parallel?
(Ceq=?)

Express your answer in microfarads to two significant figures.

**PART D:** What is the charge on each capacitor
from Part A when the capacitors are connected in parallel?
(C1=C2=?)

Express your answer in microcolumbs as an integer.

**PART E**: Find the ratio of the total stored
charge for the parallel combination to that for the series
combination from Part A.

Express your answer as a ratio to two significant figures.

**QUESTION 2:** A 5.80 μF parallel-plate air
capacitor has a plate separation of 5.00 mm and is charged to a
potential difference of 300 V .

Calculate the energy density in the region between the plates, in units of J/m3.

Answer #1

Two air-filled parallel-plate capacitors (C1 and C2) are placed
in series. Both capacitors have the same plate area, but the
distance between the plates of C1 is twice the distance between the
plates of C2. If C1 is equal to 10 μF (microfarads), calculate the
equivalent capacitance Ceq of the two capacitors. Quote your answer
in μF (microfarads) rounded to one decimal place.

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...

Assume you are given two resistors with resistances R1=4.0 kΩ
and R2=6.0 kΩ and two capacitors with capacitances C1=4.0 µF and
C2=6.0 µF.
a) Calculate the equivalent resistances Req and the equivalent
capacitance Ceq if the resistors are connected in series and the
capacitors are connected in parallel.
b) Now, use the Req and Ceq that you calculate in part (a) to
construct an RC circuit. If an emf of 27 V is suddenly applied
across Req and Ceq, calculate...

Assume you are given two resistors with resistances
R1=4.0 kΩ and R2=6.0 kΩ and two capacitors
with capacitances C1=4.0 µF and C2=6.0
µF.
a) Calculate the equivalent
resistances Req and the equivalent capacitance
Ceq if the resistors are connected in parallel and the
capacitors are connected in series.
b) Now, use the Req and
Ceq that you calculate in part (a) to construct an RC
circuit. If an emf of 27 V is suddenly applied across
Req and Ceq, calculate...

Three capacitors having capacitances of 8.0 µF, 8.2 µF, and 4.3
µF are connected in series across a 36-V potential difference.
(A) What is the charge on the 4.3μF capacitor? ( Express your
answer using two significant figures )
(B) What is the total energy stored in all three capacitors?
(Express your answer using two significant figures)
(C) The capacitors are disconnected from the potential
difference without allowing them to discharge. They are then
reconnected in parallel with each other,...

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.

A 0.50-μF and a 1.4-μF capacitor (C1 and
C2, respectively) are connected in series to a 14-V
battery.
a) Calculate the potential difference across each capacitor.
Express your answers using two significant figures separated by
a comma.
V1 V2 =
b) Calculate the charge on each capacitor.
Express your answers using two significant figures separated by
a comma.
Q1 Q2 =
c) Calculate the potential difference across each capacitor
assuming the two capacitors are in parallel.
Express your answers using...

1. Three capacitors are connected in series and give an
effective capacitance of 22 nF. If C1 = 5 µF and C3 = 100 nF, what
is C2? Suppose V1 = 5 V. Find the charge on and voltage across the
other two capacitors. Again, calculate energy stored.
2. A parallel plate capacitor has plates with area 10 cm2 and a
gap of 2 mm. First, find the capacitance of this capacitor. Now,
imagine a metal plate of thickness 0.25...

114a-three capacitors C1,C2,C3 connected in series across DC
voltage source of 15V. the corresponding values of the capacitances
are C1=8UF,C2=1UF, C3=3UF
draw the equivalent circuit and calculate the a-equivalent
capacitance of the circuit b-charge of each capacitor
114b-two capacitors are connected in series giving an equivalent
capacitance of 60uF, the total charge for the equivalent
capacitance is 15x10-3 calculate the stored energy in
the capacitor

A capacitance C1 = 14.6 μF is connected in series with a
capacitance C2 = 5.8 μF, and a potential difference of 150 V is
applied across the pair.
a. Calculate the equivalent capacitance.
b. What is the charge on C2?
c. What is the charge on C1?
d. What is the potential difference across C2?
e. What is the potential difference across C1?
(c25p72) Repeat for the same two capacitors but with them now
connected in parallel.
f. Calculate...

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