Which of the following current functions is a correct
representation for the sinusoidal waveform shown below. Where,
ω=2π/
T.
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Which of the following current functions is a correct
representation for the sinusoidal waveform shown below....
Use the phasor technique to add the following sinusoidal functions. Put the final answer in the...
Use the phasor technique to add the following sinusoidal functions. Put the final answer in the form V4(t) = A cos(wt + 8). vi(t) = 10 cos(wt + 10°) vz(t) = 5 sin(wt – 30°) vz(t) = 7 cos(wt)
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b)...
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b) Find the frequency and period of sine waves having an angular velocity of () 377rads/s) 8.4 rad/s (c) Find the amplitude and frequency of these waves (1) 10 sin 1000t (11) 0.001 sin 942t. 2. (a) Given V=20 sin a, Determine V at a 1.21 (b) Find the phase relationship between the waveforms of: 1 .-0.2 sin (wt-60) i= 0.1 sin (wt+20) (c) Write...
5. Let X(t) be a random process which consist of the summation of two sinusoidal components...
5. Let X(t) be a random process which consist of the summation of two sinusoidal components as t(t) = A cos(wt) + B sin(wt), where A and B are independent zero mean random variables. (a) (5 points) Find the mean function, pat). (b) (5 points) Find the autocorrelation function Ratta). (e) (5 points) Under what conditions is i(t) wide sense stationary (WSS)?! The questions form the textbook : 1.4, 2.1, 2.4, 2.6 Some trigonometric formulas: cos(A + B) = cos...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage...
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage across the coil. Sketch the v and i curves. a. i = 10 sin 377t b. i = 7 sin(377t - 70°) 2. The voltage across a 1-micro F capacitor is provided below. What is the sinusoidal expression for the current? Sketch the v and i curves. v = 30 sin 400t 3. For the following pairs of voltages and currents, determine whether the...
A sinusoidal voltage Av = 45.0 sin(100t), where Av is in volts and t is in...
A sinusoidal voltage Av = 45.0 sin(100t), where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 HF, and R 59.0 (a) What is the impedance (in n) of the circuit? 102.66 Ω (b) What is the maximum current (in A)? 0.438 sin(wt - d). (c) Determine the numerical value for w (in rad/s) in the equation i = I max 100 rad/s (d) Determine...
A sinusoidal voltage Av = 37.5 sin(100t), where Av is in volts and t is in...
A sinusoidal voltage Av = 37.5 sin(100t), where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 pF, and R = 53.0 2. (a) What is the impedance (in 2) of the circuit? 98.01 12 (b) What is the maximum current in A)? .383 A (C) Determine the numerical value for w (in rad/s) in the equation i = Imax sin(wt - 0). 100 rad/s...
A device produces a square wave current waveform as depicted below i (mA) 10 5 t...
A device produces a square wave current waveform as depicted below i (mA) 10 5 t (sec) fur w It is desired to obtain the triangular voltage waveform shown below v (V) 12 < 1 1 1 3 4 t (sec) What device/element would you use and what are its characteristics including its initial state? Hint: one definition of the square wave is simply the sign function of a sinusoid: x(t) = sign(sin[2nft]) which will be 1 when the sinusoid...
A sinusoidal wave moving along a string is shown twice below, as crest A travels in...
A sinusoidal wave moving along a string is shown twice below, as crest A travels in the positive direction of an x axis by distance d = 1.5 cm in 4.4 ms. The tick marks along the axis are separated by 3.0 cm; height H = 6.00 mm. The wave equation is of the form below. y(x, t) = ym sin(kx ± ωt) (a) What is ym? mm (b) What is k? rad/m (c) What is ω? rad/s (d) What...
6.13 The waveform for the current in a 70-μF capacitor is shown in the figure below....
6.13 The waveform for the current in a 70-μF capacitor is shown
in the figure below. Determine the waveform for the capacitor
voltage.
The waveform for the current in a 70-uF capacitor is shown in the figure below. Determine the waveform for the capacitor voltage i(t) (mA) 14 0 10 20 30 40 t (ms) t <0ms t < 40 ms t z 40ms v (t) -2500? V -4 V 0 t <0ms 2500t V 0 t < 40 ms...
Use the phasor technique to add the following sinusoidal functions. Put the final answer in the form V4(t) = A cos(wt + 8). vi(t) = 10 cos(wt + 10°) vz(t) = 5 sin(wt – 30°) vz(t) = 7 cos(wt)
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b) Find the frequency and period of sine waves having an angular velocity of () 377rads/s) 8.4 rad/s (c) Find the amplitude and frequency of these waves (1) 10 sin 1000t (11) 0.001 sin 942t. 2. (a) Given V=20 sin a, Determine V at a 1.21 (b) Find the phase relationship between the waveforms of: 1 .-0.2 sin (wt-60) i= 0.1 sin (wt+20) (c) Write...
5. Let X(t) be a random process which consist of the summation of two sinusoidal components as t(t) = A cos(wt) + B sin(wt), where A and B are independent zero mean random variables. (a) (5 points) Find the mean function, pat). (b) (5 points) Find the autocorrelation function Ratta). (e) (5 points) Under what conditions is i(t) wide sense stationary (WSS)?! The questions form the textbook : 1.4, 2.1, 2.4, 2.6 Some trigonometric formulas: cos(A + B) = cos...
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) - f(kx -wt) where k and w are positive constants....
A sinusoidal voltage Av = 45.0 sin(100t), where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 HF, and R 59.0 (a) What is the impedance (in n) of the circuit? 102.66 Ω (b) What is the maximum current (in A)? 0.438 sin(wt - d). (c) Determine the numerical value for w (in rad/s) in the equation i = I max 100 rad/s (d) Determine...
A sinusoidal voltage Av = 37.5 sin(100t), where Av is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 pF, and R = 53.0 2. (a) What is the impedance (in 2) of the circuit? 98.01 12 (b) What is the maximum current in A)? .383 A (C) Determine the numerical value for w (in rad/s) in the equation i = Imax sin(wt - 0). 100 rad/s...
A device produces a square wave current waveform as depicted below i (mA) 10 5 t (sec) fur w It is desired to obtain the triangular voltage waveform shown below v (V) 12 < 1 1 1 3 4 t (sec) What device/element would you use and what are its characteristics including its initial state? Hint: one definition of the square wave is simply the sign function of a sinusoid: x(t) = sign(sin[2nft]) which will be 1 when the sinusoid...
6.13 The waveform for the current in a 70-μF capacitor is shown
in the figure below. Determine the waveform for the capacitor
voltage.
The waveform for the current in a 70-uF capacitor is shown in the figure below. Determine the waveform for the capacitor voltage i(t) (mA) 14 0 10 20 30 40 t (ms) t <0ms t < 40 ms t z 40ms v (t) -2500? V -4 V 0 t <0ms 2500t V 0 t < 40 ms...
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