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2. Compute the following: (10 points each) (t)dt where f(t) is as in Question 1, part...
A current i(t) = 220 sin (20pi t) mA is applied to a capacitor of C...
A current i(t) = 220 sin (20pi t) mA is applied to a capacitor of C = 20000/pi mu F, as shown in the figure below: a) Knowing that i(t) = C dv/dt, integrate both sides of the equation to determine the voltage v(t). You may assume that the initial voltage is v(0) = 0.55 Volts. b) Plot one cycle of the voltage v(f) found in part a) and clearly indicate the amplitude, frequency, and period on the plot. Also,...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN....
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
suppose an input voltage is given as V(t) = 240[u(t-5) - u(t-10)]. In a branch of an electronic circuit, the variation of current with time is modeled by the differential equation d^2(i)/dt^2 + 36i =...
suppose an input voltage is given as V(t) = 240[u(t-5) - u(t-10)]. In a branch of an electronic circuit, the variation of current with time is modeled by the differential equation d^2(i)/dt^2 + 36i = dv/dt. Assuming zero initial conditions, determine I as a function of t. (hint: use laplace transforms)
Suppose the AC voltage is given as: V=V_max sin(2 ? f t + ?), where f...
Suppose the AC voltage is given as: V=V_max sin(2 ? f t + ?), where f = 10 Hz and ? = 30° and t is a variable. Let Vmax = 10 V. Radians = (?/180°)*degrees Degrees = (180°/?)*radians Draw V for two full wave periods, T = 4? in radians.
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the vol...
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Please help with the following question correctly for thumbs up! 3. + -11 points SerPSE 10...
Please help with the following question correctly for thumbs
up!
3. + -11 points SerPSE 10 32.5 OP.010. 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 = 150 ml, C = 99.0 pF, and R = 55.0 2. (a) What is the impedance in 2) of the circuit? (b) What is the maximum current in A)? (C) Determine the numerical value for...
The equations for the charge Q(t) and current i (t) in the following LRC circuit are Question 3 (...
3
The equations for the charge Q(t) and current i (t) in the following LRC circuit are Question 3 (5 points) Saved 0 amps dt C 10 amps i(t) dt 10 amps where the applied voltage VA -Vp V cos at as soon as the switch S is closed at t 0 Question 4 (5 points Saved ift) 10 amps -10 amps 0 amps Qrt The general solution is: please hand in at your recitation, the graphs of when Q(0)-i(0-0,...
A current i(t) = 220 sin (20pi t) mA is applied to a capacitor of C = 20000/pi mu F, as shown in the figure below: a) Knowing that i(t) = C dv/dt, integrate both sides of the equation to determine the voltage v(t). You may assume that the initial voltage is v(0) = 0.55 Volts. b) Plot one cycle of the voltage v(f) found in part a) and clearly indicate the amplitude, frequency, and period on the plot. Also,...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
Question #01 (30 points) Consider the following circuit. Let us define the phasors in terms of the Sine function. 0.25 F 12 H 222 1H = 0.5 F {52 8 sin (2t + 30°) V Zeq + 1. Draw phasor domain circuit. (4 points) 2. Find Zee for the circuit as seen from input voltage source. (6 points) 3. Draw Zeq phasor. (2 points) 4. Find resistance and reactance for Zeq. Is the reactance capacitive or inductive? (3 points) 5....
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Please help with the following question correctly for thumbs
up!
3. + -11 points SerPSE 10 32.5 OP.010. 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 = 150 ml, C = 99.0 pF, and R = 55.0 2. (a) What is the impedance in 2) of the circuit? (b) What is the maximum current in A)? (C) Determine the numerical value for...
3
The equations for the charge Q(t) and current i (t) in the following LRC circuit are Question 3 (5 points) Saved 0 amps dt C 10 amps i(t) dt 10 amps where the applied voltage VA -Vp V cos at as soon as the switch S is closed at t 0 Question 4 (5 points Saved ift) 10 amps -10 amps 0 amps Qrt The general solution is: please hand in at your recitation, the graphs of when Q(0)-i(0-0,...
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