Parallel Plate Capacitor Connected to Battery: Answers

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SUMMARY

A parallel plate capacitor connected to a battery exhibits specific behaviors when charged and subsequently modified. Key conclusions include that inserting a dielectric with kappa > 1 increases capacitance (C) and stored energy (U) when connected to the battery, while increasing plate separation (d) decreases capacitance after disconnection. The correct answers to the posed statements are E and F, while A, B, C, and D are incorrect. This analysis clarifies the relationships between voltage (V), charge (Q), capacitance (C), and energy (U) in capacitor systems.

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  • Understanding of parallel plate capacitor fundamentals
  • Knowledge of dielectric materials and their effects on capacitance
  • Familiarity with the equations for capacitance (C = Q/V) and energy (U = 0.5CV^2)
  • Basic principles of electric circuits and battery connections
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  • Learn about energy storage in capacitors and the implications of changing physical parameters
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Students of physics, electrical engineers, and anyone interested in understanding capacitor behavior in electrical circuits.

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Homework Statement


A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V Volts. (C is the capacitance and U is the stored energy.) Give all correct answers concerning a parallel-plate capacitor charged by a battery (e.g. B, AC, CDF). If none of the statements is correct, enter the word none.

A) After being disconnected from the battery, inserting a dielectric with kappa > 1 will decrease V.
B) After being disconnected from the battery, increasing d increases U.
C) After being disconnected from the battery, increasing d decreases V.
D) With the capacitor connected to the battery, inserting a dielectric with kappa > 1 will increase U.
E) After being disconnected from the battery, inserting a dielectric with kappa > 1 will increase C.
F) After being disconnected from the battery, decreasing d decreases C.


The Attempt at a Solution


ok so i had thought it was ACD but that was said to be wrong. don't know where i am going wrong
 
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I think C is false. Increasing d will decrease C, so V = Q/C will increase.
I would say D is false, too. Using V = Q/C in U=.5CV^2 = .5Q^2/C means that when C increases, U decreases.
E is true - the dielectric makes it a better capacitor with greater C
F is true - greater capacitance with reduced D.
 
This should answer all your questions.
A good presentation of the material.

https://www.youtube.com/watch?v=E185G_JBd7U
 

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