The instantaneous voltage across a circuit element is v ( t ) = 400 sin ( ω t + 30 ° ) volts , and the instantaneous current entering the positive terminal of the circuit element is i ( t ) = 100 cos ( ω t + 10 ° ) A . For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using cos ( ω t ) as the reference.
The instantaneous voltage across a circuit element is v ( t ) = 400 sin ( ω t + 30 ° ) volts , and the instantaneous current entering the positive terminal of the circuit element is i ( t ) = 100 cos ( ω t + 10 ° ) A . For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using cos ( ω t ) as the reference.
Solution Summary: The author calculates the maximum value of instantaneous voltage and instantanous current.
The instantaneous voltage across a circuit element is
v
(
t
)
=
400
sin
(
ω
t
+
30
°
)
volts
, and the instantaneous current entering the positive terminal of the circuit element is
i
(
t
)
=
100
cos
(
ω
t
+
10
°
)
A
. For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using
cos
(
ω
t
)
as the reference.
What is the RMS value of the voltage v(t) = 2 cos(3nt +)?
1.41 V
2.82 V
None of the choices provided
2.0 V
1.0 V
What is the RMSs value of the voltage v(t) = 2 cos(3nt +
%3D
1.41 V
O 1.0 V
O 2.0 V
2.82 V
A 10.8-2 resistor, a 11.8-µF capacitor, and a 16.4-mH inductor are connected in series with a 130-V generator. (a) At what frequency
is the current a maximum? (b) What is the maximum value of the rms current? Note: The ac current and voltage are rms values and
power is an average value unless indicated otherwise.
(a) Number
i
Units
(b) Number
i
Units
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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