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Unformatted text preview: RC Circuits RC Circuits circuits in which the currents vary in time rate of charging a cap depends on C and R of circuit differential equations Discharging a Capacitor Discharging a Capacitor ( sign because q decreases for I > 0 That is, current in circuit equals the decrease of charge on the capacitor) C R qq I Given: R, C, q o (initial charge) Find: q(t) and I(t) when switch is closed dt dq I = 2) 1) = IR C q (Kirchhoffs Loop Rule) C R qq I RC q dt dq = where: q = q(t) q(0) = q o This is a differential equation for the function q(t), subject to the initial condition q(0) = q 0 . We are looking for a function which is proportional to its own first derivative (since dq/dt ~ q). Combine 1) and 2) to get: RC is called the time constant or characteristic time of the circuit....
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This note was uploaded on 10/14/2011 for the course ENGINEER CHEM ENG 3 taught by Professor Ghosh during the Spring '11 term at McMaster University.
 Spring '11
 Ghosh

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