Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source
v
(
t
)
=
4
cos
(
ω
t
+
60
°
)
be connected to an impedance
Z
=
2
∠
30
°
Ω
. (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v(t) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
A3 ϕ, 15 kV, 60 Hz, 30 MVA, Y-connected cylindrical-rotor synchronous machine generator has Ra =0.5 Ω per phase and Xs =5.2 Ω per phase. The generator delivers the rated load at 15 kV and 0.85 lagging power factor. Determine the excitation voltage, Ef, for this operating condition.
A3 φ, 50 Hz infinite bus bar is connected to two synchronous generators. Generator 1 has a speed of 300 rpm and generator 2 has 30 poles. Determine:
the speed of generator 2
the number of poles of generator 1
2. Triple Integral Applications
2a.
First step Darw the volume of the solids in the first octant which bounded by xy-plane, yz-plane, plane
x+y=4 and z. = x2+6.
2b.
First draw the region bounded in between z = p and z=1, side by the cylinder r? ≤ 4, and in the first and second octant. Defermine its volume by using cylindrical coordinate system.
2c. Solving Using Spherical Coordinates
2c.
First draw the volume of region which is bounded above by sphere of
x? + y2 + 2? = 81 and below by cone z = x? + y? in the first octant.
first step drawing second step calculation
i need to cal by hand
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