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1/1 Misr university for science & technology ECE 212 ,Electric Circuit II Electrical power & machine department Assignment ( 1 ) --- 1 page Spring 2014-2015 Due date : Instructor Prof. Soliman A. Soliman 1. For the following pairs of sinusoids, determine which one leads and by how much. (a) v(t) = 10 cos(4t 60 ) and i(t) = 4 sin(4t + 50 ) (b) v 1 (t) = 4 cos(377t + 10 ) and v 2 (t) = − 20 cos 377t (c) x(t) = 13 cos 2t + 5 sin 2t and y(t) = 15 cos(2t 11.8 ) 2. Calculate these complex numbers and express your results in rectangular form: 3. Evaluate the following complex numbers and express your results in rectangular form: 4. Given the complex numbers z 1 = − 3 + j4 and z 2 = 12 + j 5, find: 5. Express the sum of the following sinusoidal signals in the form of A cos(ωt + θ) with A > 0 and 0 < θ < 360 :
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