SampleTest4_2007_part_2

# SampleTest4_2007_part_2 - Engr 260 SAMPLE TEST 4 PART 2...

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Engr 260 – SAMPLE TEST 4 PART 2: Solve the following problems completely. 1. The current source provides a variable current ) 100 cos( 5 ) ( t t i = mA. a. Using phasors, determine the voltage, ) ( t v L , across the 0.2-H inductor, b. Using phasors, determine the voltage, ) ( t v C , across 2- μ F capacitor. Check your answer by finding dt dv C t i c c = ) ( . Is this consistent with the circuit? Answer: V ) 100 sin( 25 ) ( V, ) 90 100 cos( 1 . 0 ) ( = + = t v t t v C L o 2. For ) 1000 cos( 20 ) ( t t v = V, R=10 Ω , C=0.2 mF, and L = 5 mH, a) Find the current i(t). b) Find the current in the capacitor. c) Find the voltage across the capacitor. ) 90 1000 cos( 40 ) ( ÷ = t t v d) Draw a phasor diagram showing the current through and voltage across the capacitor. Ans. ) 57 . 26 1000 cos( 945 . 8 ) ( ÷ = t t i ) 90 1000 cos( 40 ) ( ), 1000 cos( 8 ) ( = = t t v t t i C C 3. For the given circuit ) 5 cos( 2 10 ) ( t t v s = V, R 1 = 10 Ω , R 2 = 20 Ω , L = 2 H and C = 0.01 F.

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SampleTest4_2007_part_2 - Engr 260 SAMPLE TEST 4 PART 2...

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