In the figure below(Figure 1) , the top left capacitor and top right capacitor h
ID: 1321381 • Letter: I
Question
In the figure below(Figure 1) , the top left capacitor and top right capacitor has 2.21?F , the middle capacitor has 4.81?F , and the bottom capacitor has 7.59?F , and the voltage across ab is 64.1V .
Part A
What is the equivalent capacitance of this circuit?
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Part B
What is the charge and voltage on the top left capacitor?
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Part C
What is the charge and voltage on the top right capacitor?
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Part D
What is the charge and voltage on the middle capacitor?
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Part E
What is the charge and voltage on the bottom capacitor?
C_{total} = F In the figure below(Figure 1) , the top left capacitor and top right capacitor has 2.21?F , the middle capacitor has 4.81?F , and the bottom capacitor has 7.59?F , and the voltage across ab is 64.1V . Part A What is the equivalent capacitance of this circuit? C_{total} = F SubmitMy AnswersGive Up Part B What is the charge and voltage on the top left capacitor? q_{top-left},V_{top-left} = C,V SubmitMy AnswersGive Up Part C What is the charge and voltage on the top right capacitor? q_{top-right},V_{top-right} = C,V SubmitMy AnswersGive Up Part D What is the charge and voltage on the middle capacitor? q_m,V_m = C,V SubmitMy AnswersGive Up Part E What is the charge and voltage on the bottom capacitor? q_b,V_b = C,V SubmitMy AnswersGive UpExplanation / Answer
Here,
In parallel for capacitor ,
Ceq = c1 + C2
and in series ,
1/ Ceq = 1/c1 + 1/c2 + ...
A)
Now , top left and top right are in series
1/c1 = 1/2.21 + 1/2.21
C1 = 1.105 uF
Now C1 and 4.81 uF are in Parallel,
C2 = 1.105 + 4.81
C2 = 5.915 uF
now , C2 and 7.59 are in Series
1/Ceq = 1/5.915 + 1/7.59
Ceq = 3.32 uF
the equivalent capacitance is 3.32 uF
Here , Equivalent Charge = 3.32 * 64.1
Qeq = 213.1 uC
B)
Now , for top left capacitor ,
Charge = 213.1 * 1.105/(1.105 + 4.81)
Charge = 39.81 uC
the charge on the top left capacitance is 39.81 uC
and V = 39.81/2.21
V =18.01 V
the voltage is 18.01 V
C)
For top right ,
Charge = 39.81 uC
and
V(right) = 39.81/2.21
V(right) = 18.01 V
D)
for middle capacitor
Q = 213.1 - 39.81
Q = 173.3 uC
the charge on the middle is 173.3 uC
and
V = 173.3/4.81
V =36.02 V
the middle voltage is 36.02 V
E)
for the bottom capacitor ,
Q = 213.1 uC
and V = 213.1/7.59
V =28.1 V
the voltage on the bottom capacitor is 28.1 V