At time t = -250/6 μs a sinusoidal voltage is zero and is
increasing. The next zero voltage takes place at t = 1250/6 μs and
t = 0, it has a value equal to 75 V. This voltage is applied to an
inductor, whose inductance is equal 0,0041 H
a) Write the instantaneous voltage equation.
b) The value, in module, of the inductor's reactance.
c) The phasor value of the effective current flowing through the
circuit.
d) Draw the...
At time t = -250/6 μs a sinusoidal voltage is zero and is
increasing. The next zero voltage takes place at t = 1250/6 μs and
t = 0, it has a value equal to 75 V. This voltage is applied to an
inductor, whose inductance is equal 0,0041 H
a) Write the instantaneous voltage equation.
b) The value, in module, of the inductor's reactance.
c) The phasor value of the effective current flowing through the
circuit.
d) Draw the...
The output voltage of an AC generator is given
by ?v = 121 V sin (32?t). The generator
is connected across a 0.007 H inductor. Find the
following.
(a) frequency of the generator?=____
Hz
(b) rms voltage across the inductor?=____
V
(c) inductive reactance?=____
ohms
(d) rms current in the inductor?=____
A
(e) maximum current in the inductor?=____
A
(f) average power delivered to the
inductor?=____ W
(g) Find an expression for the instantaneous
current. (Use the following as necessary:...
A. According to Equation 20.7, an ac voltage V is given as a function of time t by V = Vo sin 2ft, where Vo is the peak voltage and f is the frequency (in hertz). For a frequency of 56.0 Hz, what is the smallest value of the time at which the voltage equals one-half of the peak-value?
B. The rms current in a copy machine is 7.36 A, and the resistance of the machine is 19.8Ω. What...
1. A voltage is given by v(t) = 10 sin(1000?t + 30o).
a. Use a cosine function to express v(t).
b. Find the angular frequency, the frequency in hertz, the phase
angle, the periodic time and the rms value.
c. Find the power that this voltage delivers to a 25?
resistance
If u(t) = < sin(8t), cos(4t), t > and v(t) = < t,
cos(4t), sin(8t) >, use the formula below to find the given
derivative.
d/(dt)[u(t)* v(t)] =
u'(t)* v(t) +
u(t)* v'(t)
d/(dt)[u(t) x v(t)] =
<.______ , _________ , _______>
If u(t) = < sin(5t),
cos(5t), t > and
v(t) = < t, cos(5t),
sin(5t) >, use the formula below to find the given
derivative.
d/dt[ u(t) * v(t)] = u'(t) * v(t) + u(t)* v'(t)
d/dt [ u(t) x v(t)] = ?
Given a sinusoidal signal:
x(t) = Asin(2πft)
Find Fourier Transform (FT) of the sinusoidal x(t) given above
and plot the spectrum with:
a. A = 2, f = 1000Hz
b. A = 2, f = 9000Hz
c. A = 5, f = 1000Hz
d. A = 10, f = 10000Hz
A 325 V sinusoidal voltage generator at 50 Hz supplies a load
modelled by a
35 resistance in series with a 95.5 mH inductor. The loss of the
transmission line between
the generator and the load is modelled by a series resistance of 5
. Calculate the average,
reactive and apparent power a) consumed by the generator, b)
consumed by the load.
Determine the power factor at which the load is operating.
Please outline the method clearly.
Answers should...
A transverse sinusoidal wave on a string has a period T = 27.0
ms and travels in the negative x direction with a speed of 30.0
m/s. At t = 0, a particle on the string at x = 0 has a transverse
position of 2.00 cm and is traveling downward with a speed of 2.00
m/s.
What is the phase constant?
in rad
Write the wave function for the wave. (Use the form
Asin(kx + ωt + ϕ). Round...