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categoryالهندسة الكهربائية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
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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