lecture18

lecture18 - EE 205 Coifman Homework set #7, due 5/14/08...

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n a m f i o C 5 0 2 E E 18-1 Homework set #7, due 5/14/08 First Order circuits- RC & RL RC - can you reduce the given circuit to a single resistor and a single capacitor? + - v(t) i(t) C Resistors and sources + - v(t) v T (t) R T + - C Capacitor constraint: i t C dv t dt ( ) = ( ) Choose an equivalent circuit with independent variable i(t) for everything else => Thevenin R i t v t v t T T ( ) + ( ) = ( ) Combining constraints: R C dv t dt v t v t T T ( ) + ( ) = ( ) Other things to touch on: the state variable, the fact that it is a 1st order LDE w/ constant coefficients, what s the input and output 6-2, 6-6, 6-10, 6-24, 6-40, 7-7, 7-13, 7-14, 7-23, 7-26, 7-28
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EE 205 Coifman 18-2 RL - can you reduce the given circuit to a single resistor and a single inductor? + - v(t) i(t) L Resistors and sources + - v(t) i N (t) R N L Inductor constraint: vt L di t dt () = () Choose an equivalent circuit with independent variable v(t) for everything else => Norton Gvt it i t NN () +() = () Combining constraints: GL di t dt it +() = Other things to touch on: the state variable, the fact that it is a 1st order LDE w/ constant coefficients, what’s the input and output
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lecture18 - EE 205 Coifman Homework set #7, due 5/14/08...

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