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EE103hw2%20sol%2008 - ECE103 Spring 2008 Solutions Homework...

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ECE103 Spring 2008 Solutions Homework 2 1- Determine the current flowing trough an element if the charge is given by ( ) dq i t dt = a- ( ) ( ) ( ) ( ) 2 5 2 5 q t t t pC i t t pA = = b- ( ) ( ) ( ) ( ) 2 2 3 5 3 10 t t t t q t e e mC i t e e mA = + = − c- ( ) ( ) ( ) ( ) 2sin 120 240 cos 120 q t t nC i t t nA π π π = = d- ( ) ( ) ( ) ( ) ( ) 2 2 2 sin 5 2 sin 5 5 cos 5 t t t q t e t C i t e t e t A μ μ = = + 2- Find the charge q(t) flowing through a device if the current is given by ( ) ( ) ( ) 0 q t i t dt q = + a- ( ) 3 (0) 1 i t A q C = = ( ) ( ) 3 1 3 1 q t A dt C t C = + = + b- ( ) ( ) 3 3 (0) 0.1 i t t mA q mC = + = ( ) ( ) ( ) 2 3 3 0 1.5 3 0.1 q t t dt t t mC = + + = + + c- ( ) ( ) sin 5 (0) 0.1 3 i t t mA q mC π = + = ( ) ( ) ( ) 1 sin 5 0.1 cos 5 0.2 3 3 5 q t t dt t mC π π = + + = + + d- ( ) 3 (0) 0.5 t i t e A q C μ μ = = ( ) 3 3 1 0 0.83 3 t t q t e dt e C μ = + = +
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