When two capacitors are connected in parallel, which of the following quantities must be the same for both capacitors?
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26. Capacitors & Dielectrics
Capacitors & Capacitance
Struggling with Physics?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Why are the plates in a typical parallel-plate capacitor arranged parallel to each other?
A
To ensure a uniform lectric field between the plates, which maximizes apacitance and allows for predictable behavior.
B
To prevent any lectric field from forming between the plates.
C
To minimize the distance between the plates so that the oltage across the capacitor is always zero.
D
To allow the plates to store agnetic energy instead of lectric energy.
Verified step by step guidance1
Understand that a parallel-plate capacitor consists of two conductive plates separated by a small distance, and the electric field is created by the charge difference on these plates.
Recognize that arranging the plates parallel to each other creates a uniform electric field between them, which means the field lines are straight and evenly spaced.
Recall that a uniform electric field leads to a predictable voltage difference and maximizes the capacitance, which is given by the formula \(C = \frac{\epsilon_0 A}{d}\), where \(A\) is the plate area and \(d\) is the separation distance.
Note that if the plates were not parallel, the electric field would be non-uniform, causing variations in voltage and reducing the effective capacitance.
Conclude that the parallel arrangement is essential to ensure the capacitor stores electric energy efficiently and behaves predictably in circuits.
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