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1. Two capacitors C₁ and C2 are connected in series. (a) Show that the total voltage v across the two capacitors and the current i through them (opposing the voltage v) obey the relationship i = 1 1 dv 1 dt' + 1 C (b) (c) What does this result say about the equivalent behaviour of the series-connected capacitors? Find a relationship for the voltage across and (total) current through the capacitors if they are connected in parallel instead. (For fun) Find the corresponding results for two inductors L₁ and L2 in series, and in parallel.

1. Two capacitors C₁ and C2 are connected in series. (a) Show that the total voltage v across the two capacitors and the current i through them (opposing the voltage v) obey the relationship i = 1 1 dv 1 dt' + 1 C (b) (c) What does this result say about the equivalent behaviour of the series-connected capacitors? Find a relationship for the voltage across and (total) current through the capacitors if they are connected in parallel instead. (For fun) Find the corresponding results for two inductors L₁ and L2 in series, and in parallel.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. Two capacitors C₁ and C2 are connected in series. (a) Show that the total voltage v across the two capacitors and the current i through them (opposing the voltage v) obey the relationship i = 1 1 dv 1 dt' + 1 C (b) (c) What does this result say about the equivalent behaviour of the series-connected capacitors? Find a relationship for the voltage across and (total) current through the capacitors if they are connected in parallel instead. (For fun) Find the corresponding results for two inductors L₁ and L2 in series, and in parallel.
Transcribed Image Text:1. Two capacitors C₁ and C2 are connected in series. (a) Show that the total voltage v across the two capacitors and the current i through them (opposing the voltage v) obey the relationship i = 1 1 dv 1 dt' + 1 C (b) (c) What does this result say about the equivalent behaviour of the series-connected capacitors? Find a relationship for the voltage across and (total) current through the capacitors if they are connected in parallel instead. (For fun) Find the corresponding results for two inductors L₁ and L2 in series, and in parallel.
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