Concept explainers
(a)
To Calculate:The equivalent capacitance of twocapacitor in series.
(a)
Answer to Problem 33P
Explanation of Solution
Given information:
Two capacitors
Formula used:
The charge stored in a capacitor:
Where, C is the capacitance and V is the potential.
Calculation:As the capacitors are connected in series. So, charge on each capacitor is Q.
Let equivalent capacitance
This series combination is connected to a voltage source V.
So, voltage across
Total voltage
(b)
To Proof:
(b)
Answer to Problem 33P
Explanation of Solution
Given information:
From part (a), equivalent capacitance of two capacitors is
Calculation:Dividing numerator and denominator by
As
So
Dividing numerator and denominator by
As
So
So
(c)
To Calculate:The equivalent capacitance of three capacitors in series.
(c)
Answer to Problem 33P
Explanation of Solution
Given information:
The three capacitors
Formula used:
The charge stored in a capacitor:
Where, C is the capacitance and V is the potential.
Calculation: As the capacitors are connected in series. So, charge on each capacitor is Q.
Let equivalent capacitance
This series combination is connected to a voltage source V.
So, the voltage across
Total voltage,
(d)
To Calculate:
(d)
Answer to Problem 33P
Explanation of Solution
Given information:
Equivalent capacitance of three capacitors is
Calculation:
Dividing numerator and denominator by
As
So
Dividing numerator and denominator by
As
So
Dividing numerator and denominator by
As
So
So,
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Chapter 24 Solutions
Physics for Scientists and Engineers
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