20102ee110_1_HW5_2010

# 20102ee110_1_HW5_2010 - EE110 HW5 Due 5/11 Tuesday Practice...

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EE110 HW5 Due: 5/11 Tuesday Practice Problems Practice Problem 1. Practice Problem 2. Determine the one-sided Laplace transform of Practice Problem 3 Practice Problem 4 Given L 1 = 1 H and C = 1/2 F. Find i ( t ) and v c ( t ) for the circuit shown below, when v c ( 0 ) = 10 V and i (0) = 0. The input source is v in ( t ) = 15 u ( t ) V. Choose R so that the roots of the characteristic equation are real.

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Graded Problems Problem 1 (5 pts) Problem 2 (5pts) Problem 3 (10 pts) Problem 4 (5 pts) Problem 5 (15 pts) Find v c ( t ) for t>=0 for the circuit below. L = 1/2H, R = 1/5 ohms, C=3 F.

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Sol 4) KVL equation around the loop is in c Ri dt di L υ = + + (1) The differential equation describing the variable c is dt d C i c = (2) These two differential equations are sufficient to solve for the two unknown variable. The Laplace transform of equation (1) is, ) ( ) ( ) ( )] 0 ( ) ( [ s V s RI s V i s sI L in c = + + - (3) The Laplace transform of equation (2) is, )] 0 ( ) ( [ ) ( c c s sV C s I - = (3)
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20102ee110_1_HW5_2010 - EE110 HW5 Due 5/11 Tuesday Practice...

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