### Problem Statement(a) Find the equivalent capacitance of the group of capacitors shown in the figure.(b) Find the charge on the 7 µF capacitor if the potential difference of the battery is 90 V.### Explanation#### Capacitor Network Diagram:The diagram indicates a network of capacitors connected in a mixed series-parallel combination. The capacitors and their respective capacitances are as follows:- 5.00 µF- 4.00 µF- 6.00 µF- 3.00 µF- 2.00 µF- 3.00 µF- 7.00 µFThe battery connected to the network is 90 V.##### Detailed Capacitor Network Configuration:1. The 5.00 µF and 4.00 µF capacitors are in series.2. The result of their series combination is parallel with the 6.00 µF capacitor.3. This parallel combination is in series with 3.00 µF.4. This resultant is in parallel with both 2.00 µF and a combination of 3.00 µF and 7.00 µF capacitors in series.### Solution Approach:**Finding Equivalent Capacitance (a):**1. **Series Combination of Capacitors:** - Capacitors in series: \( \frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots + \frac{1}{C_n} \) For series combination of 5.00 µF and 4.00 µF: \[ \frac{1}{C_{eq1}} = \frac{1}{5.00} + \frac{1}{4.00} \] \[ C_{eq1} \approx 2.22 \mu F \]2. **Parallel Combination of Capacitors:** - Capacitors in parallel: \( C_p = C_1 + C_2 + \ldots + C_n \) Parallel combination of \( C_{eq1} \) and 6.00 µF: \[ C_{eq2} = 2.22 \mu F + 6.00 \mu F = 8.22 \mu F \]

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(a) Find the equivalent capacitance of the group of capacitors shown in Figure. (b) Find the charge on 7 uF capacitor if the potential difference of the battery is 90 V. 5.00 HF 3.00 µF 2.00 µF 4.00 µF 3.00 0 µF 6.00 HF 7.00 µF

(a) Find the equivalent capacitance of the group of capacitors shown in Figure. (b) Find the charge on 7 uF capacitor if the potential difference of the battery is 90 V. 5.00 HF 3.00 µF 2.00 µF 4.00 µF 3.00 0 µF 6.00 HF 7.00 µF

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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