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# 2300HW09 - ECE 2300 CIRCUIT ANALYSIS HOMEWORK#9 1 A complex...

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ECE 2300 – CIRCUIT ANALYSIS HOMEWORK #9 1. A complex number with a phase between 90˚ and 180˚ (in the 2 nd quadrant) is added to a second complex number with a phase between –90˚ and –180˚ (in the 3 rd quadrant). What is the sign of the real part of this sum? 2. A complex number with an arbitrary real part and a positive imaginary part is multiplied by a second complex number that is imaginary, with a negative coefficient for j . What can you say about the product? 3. Solve the following equation for m and n . You should assume that m and n are real numbers. The variable n is an angle, and you should show your units. ( 29 67.3 4.794 1.875 23 m j j n + = - 4. Find the nonzero value of ω for which the expression for Z(ω) given is purely real. Give your answer as a function of R , L , and C . ( 29 ( 29 ( 29 ( 29 ( ) . 1 R j L j C Z 1 R j L j C ϖ ϖ ϖ ϖ ϖ + = + + 5. In the circuit given, the voltage source v S (t) is made up of the summation of several frequency components. The circuit is operating in steady state.

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2300HW09 - ECE 2300 CIRCUIT ANALYSIS HOMEWORK#9 1 A complex...

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