Part I: Electrical engineers are often concerned with impedance, the amount of hindrance to the flow of an electrical ch

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Part I Electrical Engineers Are Often Concerned With Impedance The Amount Of Hindrance To The Flow Of An Electrical Ch 1 (45.64 KiB) Viewed 54 times

Part I Electrical Engineers Are Often Concerned With Impedance The Amount Of Hindrance To The Flow Of An Electrical Ch 2 (45.64 KiB) Viewed 54 times

Part I Electrical Engineers Are Often Concerned With Impedance The Amount Of Hindrance To The Flow Of An Electrical Ch 3 (38.92 KiB) Viewed 54 times

Part I: Electrical engineers are often concerned with impedance, the amount of hindrance to the flow of an electrical charge in a circuit with alternating current. Several factors influence a circuit's impedance (Z). including the circuit's resistance (R), and the reactance due to the circuit's capacitance (Xc). Engineers will write a circuit's impedance as a complex number in rectangular form: Z = R + (X₁Xc)j where Z is in ohms and the imaginary unit is symbolized by the letter j. The rectangular form may also be written in polar form: Z = r cos 0 + rj sin Consider a series circuit which contains two sources of impedance: Z₁ = 12 cos 0.5 + 12j sin 0.5 Z₂ = 16 cos 0.9 + 16j sin 0.9 1. Write the two impedance quantities in rectangular form. (2 points) 2. Add the two sources of impedance, in rectangular form, to determine the total impedance in this circuit. (2 points) 3. Convert the total impedance to polar form. (2 points)
Part II: You are designing a concert hall. You locate the performer at the origin, facing the direction of the polar axis, and design the seating area dimensions as follows: 12 <r<78 and 7π 18 7π <0<, where r is in meters and is in radians. 18 1. Identify the polar coordinates of two seats to the right of the performer location (as you face the stage) and two seats to the left of the performer location (as you face the stage). (4 points) 2. What is the approximate total area of the seating region? (2 points) 3. How many seats will be in the concert hall if each seat is allocated 4.2m² of space? (1 point)