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.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...
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