Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 23.3, Problem 23.4GI
GOT IT? 23.4 You have two identical capacitors with capacitance C. How would you connect them to get equivalent capacitances (1) 2C and (2)
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Two identical parallel-plate capacitors C are fully charged seprately using
identical batteries AVand then removed from the batteries. We then insert a dielectric k in
between the plates of one of the capacitors (while disconnected from the battery) and
shortly after, connect the two capacitors with the same polarity. In this new configuration,
determine the charge and potential difference across each capacitor. Present your answer
symbolically.
8.
Before
C
C
CO CO
AV
AV
After
C'
C
Problem 3 [10 points] Liquid levels are often measured by detecting the change in capacitance as a liquid with dielectric
constant k fills the space between the plates of a capacitor. Consider such a device comprised of a long parallel plate
capacitor with rectangular plates of width 1 cm, length 1 meter, and spacing between the plates of 1 mm. The dielectric
constant of the liquid is K=1.5. Find a formula relating the capacitance measured on an external capacitance meter to
the level of the liquid, h, above the bottom edge of the capacitor. Express your result in the form C = C₁ + C₁*h and find
Co and C₁. What is the capacitance when the liquid level is empty and when it is full? Assume we can calibrate the zero
level of the capacitor perfectly (i.e. determine Co by measuring the capacitance with an empty vessel. Then, what is the
precision of a capacitance measurement required for a 1% measurement of the liquid level?
▾ Part C
What is the electric potential at point A?
Express your answer numerically in volts.
View Available Hint(s)
VA =
[5] ΑΣΦΑΛΟ
15.
t
BWA
2.
?
V
Chapter 23 Solutions
Essential University Physics
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