(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)(a) a 20-µF capacitor with a 4-V potential difference between its plates(b) a 30-µF capacitor with charges of magnitude 90 µC on each plate(c) a capacitor with charges of magnitude 80 µC on its plates, differing by 2 V in potential(d) a 10-µF capacitor storing energy 125 µ)(e) a capacitor storing energy 250 µ) with a 10-V potential difference(ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates.(iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates.(iv) Rank the capacitors in part (i) in the order of the energy they store.

Answered: (i) Rank the following five capacitors…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)
(a) a 20-µF capacitor with a 4-V potential difference between its plates
(b) a 30-µF capacitor with charges of magnitude 90 µC on each plate
(c) a capacitor with charges of magnitude 80 µC on its plates, differing by 2 V in potential
(d) a 10-µF capacitor storing energy 125 µ)
(e) a capacitor storing energy 250 µ) with a 10-V potential difference
(ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates.
(iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates.
(iv) Rank the capacitors in part (i) in the order of the energy they store.

Expert Solution

Step 1 :Introduction

The relation between charge Q , capacitance C and voltage V is calculated by using the formula $Q = C V$ .

The energy stored in capacitor is calculated by suing the formula $\begin{array}{rcl} E & = & \frac{Q V}{2} \\ = & \frac{C V^{2}}{2} \\ = & \frac{Q^{2}}{2 C} \end{array}$ .

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