The figure shows capacitors C1, C2, and C3 connected to a battery with potential difference V...
The figure shows capacitors C1, C2, and C3 connected to a battery with potential difference V . When switch S is closed so as to connect uncharged capacitor 4 (C4), (a) how much charge passes through point P from the battery and (b) how much charge shows up on capacitor 4? State your answers in terms of the given variables.
Homework Answers
q=vc
capacitors in series behave like resistance in parallel
parallel capacitors behave like resistance in series
(a) find the total capacitance first
when switch is closed include c4
c2 and c4 are parallel so add them
c2+c4
now all are in series so add the reciprocals of the capacitances and inverse the result
1/C = 1/C1 + 1/C3 + 1/(C2+C4) here;s what i mean
C = c1c3(c2+c4)/(c1c2 + c1c3 + c1c4 + c2c3 + c3c4)
Thus:
q= cv
= V *c1c3(c2+c4)/(c1c2 + c1c3 + c1c4 + c2c3 + c3c4)
(b) well voltage is equal in every parallel branches so yeah
q= V*C4
Add Answer to:
The figure shows capacitors C1, C2, and C3 connected to a
battery with potential difference V...
In the figure below, the battery has potential difference V = 9.0 V, C2 = 3.0...
In the figure below, the battery has potential difference V = 9.0
V, C2 = 3.0 µF, C4 = 5.5 µF, and all the capacitors are initially
uncharged. When switch S is closed, a total charge of 12 µC passes
through point a and a total charge of 6.6 µC passes through point
b.
(a) What is capacitance C1?
µF
(b) What is capacitance C3?
µF
The figure shows a 9.18 V battery and four uncharged capacitors of capacitances C1 = 1.21...
The figure shows a 9.18 V
battery and four uncharged capacitors of capacitances C1 = 1.21
?F,C2 = 2.20 ?F,C3 = 3.21 ?F, and C4 = 4.25 ?F. If only switch S1
is closed, what is the charge on (a) capacitor 1, (b) capacitor 2,
(c) capacitor 3, and (d) capacitor 4? If both switches are closed,
what is the charge on (e) capacitor 1, (f) capacitor 2, (g)
capacitor 3, and (h) capacitor 4?
Cs So C2 C4
Q22 (Capacitors) The figure below shows a 15.0 V battery and four uncharged capacitors of capacitances...
Q22 (Capacitors)
The figure below shows a 15.0 V battery and four uncharged
capacitors of capacitances C1 = 8.00
μF, C2 = 4.00 μF,
C3 = 6.00 μF, and
C4 = 3.00 μF.
If only switch S1 is closed, what is the
charge on each capacitor?
(a) C1
__________ μC
(b) C2
__________ μC
(c) C3
__________μC
(d) C4
__________ μC
If both switches are closed, what is the charge on each
capacitor?
(e) C1
__________μC
(f ) C2
__________μC
(g) C3
__________ μC
(h) C4
__________ μC...
Fig. 1 shows a circuit of four capacitors connected to a battery with a potential difference...
Fig. 1 shows a circuit of four capacitors connected to a
battery with a potential difference ?_0. Capacitor 4 is filled with
a dielectric with 0 dielectric constant ? = 4. The capacitance
value of the capacitors is equal ?1 =?2 = ?3 = ?. The capacitance
of capacitor 4 is also equal to ? / 2 when in the middle of
their plates there is no dielectric. a) Calculate the free
charge stored in the capacitor 4. Its
answer...
The circuit in the figure below shows four capacitors connected to a battery. The switch s...
The circuit in the figure below shows four capacitors connected to a battery. The switch s is initially open, and all capacitors have reached their final charge. The capacitances are C1 = 5.90 μF, C3 = 8.20 μF, and C4 = 3.90 μF C2 = 14.00 μF 10.0 V (a) Find the potential difference across each capacitor and the charge stored in each. 4.13 Your response is off by a multiple of ten. HC 4.2 Your response differs from the...
In Figure 4, all of the capacitors have identical capacitance C, and the battery provides 60V....
In Figure 4, all of the capacitors have identical capacitance C, and the battery provides 60V. C1 60V C2 C4 C3 Figure 4 Consider the following scenarios, in each case starting with uncharged capacitors. Explain your answers. Case I (a) While switch B is kept open, switch A is closed and then opened after C1, C2 and Cs are fully charged. What is the potential difference across each capacitor? (b) Subsequently switch B is closed. What is now the electric...
The figure shows a network of three capacitors, C1 = 3.0μF, C2 = 4.0μF, and C3...
The figure shows a network of three capacitors,
C1 = 3.0μF, C2 = 4.0μF, and
C3 = 8.0μF, connected to a constant applied
potential Vacacross terminals a and
c. The capacitors in the network are fully charged, and
the charge on C2
is60.0μC.
a. What is the charge (in units of
μC) on
capacitor C3?
b. What is the value (in units of μF) of the equivalent
capacitance Cacof the three-capacitor network
between points a andc?
c. What is the...
Initially, the switch in the figure is in position A and capacitors C2 and C3 are...
Initially, the switch in the figure is in position A and
capacitors C2 and C3 are uncharged. Then the switch is flipped to
position B. (Figure 1)
Afterward, what is the charge on C1 capacitor?
Express your answer in microcoulombs.
Afterward, what is the potential difference across C1
capacitor?
Express your answer in volts.
Afterward, what is the charge on C2 capacitor?
Express your answer in microcoulombs.
Afterward, what is the potential difference across C2
capacitor?
Express your answer in...
In the figure, battery B supplies 18 V. Take C1 = 1.3 ?F, C2 = 2.7...
In the figure, battery B supplies 18 V. Take C1 = 1.3 ?F, C2 =
2.7 ?F, C3 = 3.6 ?F, and C4 = 4.4 ?F.
(A) Find the charge Q3 on capacitor C3 when ONLY switch S1 is
closed.
(B) Find the charge Q3 on capacitor C3
when switch S2 is ALSO closed.
(C) What is the charge Q4 on capacitor C4
when switch S2 is ALSO closed?
C3 C1 S2 CA S1
In the figure, battery B supplies 18 V. Take C1 = 1.0 μF, C2 = 2.3...
In the figure, battery B supplies 18 V. Take C1 = 1.0 μF, C2 = 2.3 μF, C3 = 3.1 μF, and C4 = 4.8 μF. Find the charge Q3 on capacitor C3 when ONLY switch S1 is closed. Find the charge Q3 on capacitor C3 when switch S2 is ALSO closed. What is the charge Q4 on capacitor C4 when switch S2 is ALSO closed?
In the figure below, the battery has potential difference V = 9.0
V, C2 = 3.0 µF, C4 = 5.5 µF, and all the capacitors are initially
uncharged. When switch S is closed, a total charge of 12 µC passes
through point a and a total charge of 6.6 µC passes through point
b.
(a) What is capacitance C1?
µF
(b) What is capacitance C3?
µF
The figure shows a 9.18 V
battery and four uncharged capacitors of capacitances C1 = 1.21
?F,C2 = 2.20 ?F,C3 = 3.21 ?F, and C4 = 4.25 ?F. If only switch S1
is closed, what is the charge on (a) capacitor 1, (b) capacitor 2,
(c) capacitor 3, and (d) capacitor 4? If both switches are closed,
what is the charge on (e) capacitor 1, (f) capacitor 2, (g)
capacitor 3, and (h) capacitor 4?
Cs So C2 C4
Q22 (Capacitors)
The figure below shows a 15.0 V battery and four uncharged
capacitors of capacitances C1 = 8.00
μF, C2 = 4.00 μF,
C3 = 6.00 μF, and
C4 = 3.00 μF.
If only switch S1 is closed, what is the
charge on each capacitor?
(a) C1
__________ μC
(b) C2
__________ μC
(c) C3
__________μC
(d) C4
__________ μC
If both switches are closed, what is the charge on each
capacitor?
(e) C1
__________μC
(f ) C2
__________μC
(g) C3
__________ μC
(h) C4
__________ μC...
Fig. 1 shows a circuit of four capacitors connected to a
battery with a potential difference ?_0. Capacitor 4 is filled with
a dielectric with 0 dielectric constant ? = 4. The capacitance
value of the capacitors is equal ?1 =?2 = ?3 = ?. The capacitance
of capacitor 4 is also equal to ? / 2 when in the middle of
their plates there is no dielectric. a) Calculate the free
charge stored in the capacitor 4. Its
answer...
The circuit in the figure below shows four capacitors connected to a battery. The switch s is initially open, and all capacitors have reached their final charge. The capacitances are C1 = 5.90 μF, C3 = 8.20 μF, and C4 = 3.90 μF C2 = 14.00 μF 10.0 V (a) Find the potential difference across each capacitor and the charge stored in each. 4.13 Your response is off by a multiple of ten. HC 4.2 Your response differs from the...
In Figure 4, all of the capacitors have identical capacitance C, and the battery provides 60V. C1 60V C2 C4 C3 Figure 4 Consider the following scenarios, in each case starting with uncharged capacitors. Explain your answers. Case I (a) While switch B is kept open, switch A is closed and then opened after C1, C2 and Cs are fully charged. What is the potential difference across each capacitor? (b) Subsequently switch B is closed. What is now the electric...
The figure shows a network of three capacitors,
C1 = 3.0μF, C2 = 4.0μF, and
C3 = 8.0μF, connected to a constant applied
potential Vacacross terminals a and
c. The capacitors in the network are fully charged, and
the charge on C2
is60.0μC.
a. What is the charge (in units of
μC) on
capacitor C3?
b. What is the value (in units of μF) of the equivalent
capacitance Cacof the three-capacitor network
between points a andc?
c. What is the...
Initially, the switch in the figure is in position A and
capacitors C2 and C3 are uncharged. Then the switch is flipped to
position B. (Figure 1)
Afterward, what is the charge on C1 capacitor?
Express your answer in microcoulombs.
Afterward, what is the potential difference across C1
capacitor?
Express your answer in volts.
Afterward, what is the charge on C2 capacitor?
Express your answer in microcoulombs.
Afterward, what is the potential difference across C2
capacitor?
Express your answer in...
In the figure, battery B supplies 18 V. Take C1 = 1.3 ?F, C2 =
2.7 ?F, C3 = 3.6 ?F, and C4 = 4.4 ?F.
(A) Find the charge Q3 on capacitor C3 when ONLY switch S1 is
closed.
(B) Find the charge Q3 on capacitor C3
when switch S2 is ALSO closed.
(C) What is the charge Q4 on capacitor C4
when switch S2 is ALSO closed?
C3 C1 S2 CA S1
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