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hw2.01 - placed with a new voltage supply V(t = Vo(t/k 2...

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Engr 5A F.Brewer Homework #2 Due Wed at beginning of class. Reading: Handout Ref: Ma 5a Text, ECE 2a text 1. Consider an endless network of resistors, each 1 , as shown below. Find an exact expression for the resistance of the entire network from point a to b. Hint: assume the resistnace is X -- then andd a new section in front... what will be the new resistance? 2. Find the resistance from point a to b in the following infinite network using superposition of two currents. (This can be done in your head once you see the trick...) 3. Find the general solution for the following equation: 4. Find a solution for the voltage across the capacitor in the reader given that the Battery is re-
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Unformatted text preview: placed with a new voltage supply: V(t) = Vo(t/k) 2 and the initial voltage across the capacitor is 0. 5. Let u be a non-zero solution of the second order differential equation: . Show that the substitution , converts the equation: into a first order linear equation for v’. 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω a b c 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω 1 Ω a b 1 Ω 1 Ω 1 Ω Ω 1 Ω Ω 1 Ω 1 1 1 xy ′ 2 – y x 5 = y ″ P x ( 29 y ′ Q x ( 29 y + + = y uv = y ″ P x ( 29 y ′ Q x ( 29 y + + R x ( 29 =...
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