# lecture16 - TEST 1 Thursday Feb 14 at 8:10-9:30pm Rooms...

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TEST 1 - Thursday Feb 14 at 8:10-9:30pm. Rooms: MDCL-1110 MacID: abidish-liz43 MDCL-1309 MacID: loks2-voloshg MDCL-1116 MacID: waldiedg-zvulunm Email me if you have a conflict !!! Early test is at 5:30-6:50pm in REF-102 (you must be on the list to write it!)

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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 q -q I Given: R, C, q o (initial charge) Find: q(t) and I(t) when switch is closed dt dq I - = 2) 1) 0 = - IR C q (Kirchhoff’s Loop Rule)

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R q -q 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:
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lecture16 - TEST 1 Thursday Feb 14 at 8:10-9:30pm Rooms...

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