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categoryالهندسة الكهربائية schoolبكالوريوس event_available2026-07-15

السؤال

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1. Find the phase angle between i₁ (t) = -4 sin(377t +25°) and i2(t) = 5 cos(377t - 40°). Phase angle: = (4 Points) 2. The current through a 50 mH inductor is given by i(t) = 10 cos(200t+). Express the voltage v(t) across the inductor in standard form. |v(t) = (4 Points) 3. The voltage across a 100uF capacitor is given by ve(t) = -60 sin(80t+30°) V. Express the current i(t) through the capacitor in standard form. i(t) = (4 Points) 4. The current through a 100uF capacitor is given by i(t)=-60 sin(80t+30°)A. Express the voltage v(t) across the capacitor in standard form. v(t)= = 5. Transform these sinusoids to phasors: (a) i(t)=-6 cos(60t - 40°) A I = (b) v(t) = -4 sin(30t +50°) V == V = 1 (4 Points) (2 Points) (2 Points) 6. Find i(t)i(t)+2(t), given i₁ (t) = 5 sin(377t-20°)A and i2(t) = 4 cos(377t+30°)A. == i(t) 7. Find the equivalent capacitance. (4 Points) 10μF 60μF HH 40μF: 12μF 20μF Ceq= (4 Points) 8. Determine the voltage across the 40 resistor with 6V DC source connected as shown. 1F 202 2H 0000 3F 6V 2F 4Ω 6Ω Voltage across 40 resistor = (2 Points)

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