ECE1270Su09_HW1

# ECE1270Su09_HW1 - a i a R 1 R 2 and/or R 3 3 R 1 i a V a i...

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Summer 09 Homework #1 1. Solve the following simultaneous equations for i 1 , i 2 , and i 3 : ( ) ( ) 1 2 2 1 3 2 i i 10 3i i 4i 0 + - + - - = ( ) ( ) 1 2 1 3 3 i i 2 i 3i 0 - + + + = 1 2 i 5 i 0 - - = 2. Perform the following calculations. Write the answers with appropriate prefixes (such as μ , m, k etc.) for engineering untis: a) P 7.2 mA 6 kV = × (Note: V*A=W) b) R 3.3 k 1.6 = Ω + μΩ 3. Determine whether each of the following circuits is valid or invalid. + 3 Ω 20V + 1 Ω 15V + + 5 Ω 3 Ω 3V 2V + 3 Ω -3A 3V + 2A 10V 3A 2 Ω + 2 Ω 4A 1A 10V (e) (b) (c) (a) (d)

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4. Find I x in the circuit below. 5. Find I 2 in the circuit below if V 4 =8V. 6. Use Kirchoff’s laws and Ohm’s Law to find the value of Vc. 7. Use Kirchoff’s laws and Ohm’s Law to find the expression for i 1. The expression can contain no other parameters than V
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Unformatted text preview: a , i a , R 1 , R 2, and/or R 3 . 3 R 1 i a V a i + 1 R 2 R 1 Ω 5 Ω c V + + 4 Ω 50V 10 Ω 2A 10A 1 Ω 3 Ω 2 I V 4 + + 4 Ω I 1 10V 2 Ω 5A 2 Ω 5 Ω 1 x V I 4 = 1 V + 8. Use Kirchoff’s laws and Ohm’s Law to find the expression for i 1. The expression can contain no other parameters than V a , α , R 1 , and/or R 2 . (Hint: Eliminate V 1 from the expression) 9. (a) Find i 1 , i 2 , i 3 , and v o . (b) Find the power dissipated in the 24 Ω resistor and the power supply. 10. Find i 1 , i 2 , i 3 , and v o . 2 Ω 3 i 6A 10 Ω 13 Ω 2 i 1 i 18 Ω o V + 2 i 24 Ω 10 Ω 1 i 15 Ω 3 i + 6V + o V 18 Ω + 1 V + 1 R a i 1 V α + 2 R 1 i a V...
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ECE1270Su09_HW1 - a i a R 1 R 2 and/or R 3 3 R 1 i a V a i...

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