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ps1 - EE 313 Problem Set 1 Material to be covered on Quiz 1...

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EE 313 – Problem Set 1 Material to be covered on Quiz 1 scheduled September 12 th 1. For the following pairs of signals, make a determination about which signal leads by a positive angle. a. v 1 (t) = 4 cos(5t) Volts and v 2 (t) = 10 cos(5t-20 ° ) Volts b. v x (t) = -10 cos(100t+50 ° ) Volts and v y (t) = 10 sin(100t+10 ° ) Volts c. i x (t) = -2 sin(t-130 ° ) Amps and i y (t) = -5 cos(t+100 ° ) Amps 2. Transform the following sinusoidal time functions into the complex exponential form and then into the phasor form. a. v(t) = 10 cos(120t-225 ° ) Volts b. i(t) = 5 sin(600t-125 ° ) Amps c. v(t) = -3 sin(20t) Volts d. i(t) = -10 cos(2t+45 ° ) Amps 3. Evaluate the following expressions and transform them into the sinusoidal time representation. Your final answer should be in the following form: f(t) = A cos( ω t+ φ ) + jB sin( ω t+ φ ). For each answer below, the angular frequency is 5 rad/s. a. 6 25 ° + 10 -40 ° b. (5 80 ° )(2+j4) c. (-1-j8) + (6+j5) d. (2 140 ° ) + (3-j6) e. o 10 2 ) 3 j 4 ( + f. 10 j 2 25 10 o + 4. Consider the following circuit.
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