Perform the following for natural response of a RL circuit described below:
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Perform the following for natural response of a RL circuit
described below:
EE 2423 Homework #7...
The Natural Response of an RL Circuit In summary, to find the time constant of an...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
1. Response of the RL circuit - After having been in position 1 for a long...
1. Response of the RL circuit - After having been in position 1 for a long time, the switch in the circuit below is moved to position 2 at the time t = 0. Given that Vo = 12 V, R1 = 3092, R2 = 12092, R3 = 6022 and L = 0.2 H, determine; a) iz(0-) and vi(0-) b) iz(0) and vi(0) c) il(o) and vi(0) d) il(t) for t20 e) vi(t) for t20 RU AN
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t)...
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
1. Forced Response Response of RC circuit The component values for the circuit shown below are...
1. Forced Response Response of RC circuit The component values for the circuit shown below are v' = 16 V. RI= R2 3 kQ. R3= 8 kQ. and C-25/1 F. Assume that the switch had been open for a long time prior to t-0 i is the current passing through R. v is the voltage across the capacitor. Determine (a) (or and v(or) i0and v 0 b) (o)and v(or) (c) i[oo) and v(oo (d) i(t) for t20 (e) v(t) for...
1.(20 pts) The switch in the circuit shown below has been closed for a long time...
1.(20 pts) The switch in the circuit shown below has been closed for a long time before it is opened at -0. (a) Is this RL or RC switching circuit. (b) Is this Natural or Step Response for t0? (c) Find veo'). (d) What is the time constant t of the circuit for t0? (e) Find Vco). (1) Write the expression for vct) fort >0. (g) Write the expression for ict) fort >0. (h) Write the expression for i(t) fort...
1. RL Circuits For the circuit in Figure 1, find the inductor voltage vit) if a)...
1. RL Circuits For the circuit in Figure 1, find the inductor voltage vit) if a) v(t) is the step function: 0 Vfor t<0 and 10 V for t>0. What is the time constant in this case? b) vs(t) 15 cos(100 t). You may use either the direct time-domain method, or use (complex) phasor method. 52 102 5mH L(t) Figure 1 2. Impedance You are given six black boxes, labelled "1" to ", each with two terminals. You are told...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to derive the differential equation describing how the output voltage vz(t) is related to the input voltage v.(t). The answer is given by: 25.0+(2.5, ., 1.0)+R,R.,6,6,"()=-R,R,C.C;": (1) (a) Leveraging this result, describe as concisely as possible the relationship among the components that produces (i) an overdamped response, (ii) a critically damped response, and (iii) an underdamped response. You must be concise to receive full credit....
Problem #7) Perform a steady-state AC phasor analysis of the circuit shown below in order to...
Problem #7) Perform a steady-state AC phasor analysis of the circuit shown below in order to determine the RMS phasor values of the source current I, and the resistor voltage V, as shown in the figure, along with the value of the reactive power Qs produced by the voltage source: He v(t)=2.277-sin(0-t) 0=27. f ſ 60F f = 60 Hz vo 210 mH3 son Qs - - VARS
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
1. Response of the RL circuit - After having been in position 1 for a long time, the switch in the circuit below is moved to position 2 at the time t = 0. Given that Vo = 12 V, R1 = 3092, R2 = 12092, R3 = 6022 and L = 0.2 H, determine; a) iz(0-) and vi(0-) b) iz(0) and vi(0) c) il(o) and vi(0) d) il(t) for t20 e) vi(t) for t20 RU AN
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
1. Forced Response Response of RC circuit The component values for the circuit shown below are v' = 16 V. RI= R2 3 kQ. R3= 8 kQ. and C-25/1 F. Assume that the switch had been open for a long time prior to t-0 i is the current passing through R. v is the voltage across the capacitor. Determine (a) (or and v(or) i0and v 0 b) (o)and v(or) (c) i[oo) and v(oo (d) i(t) for t20 (e) v(t) for...
1.(20 pts) The switch in the circuit shown below has been closed for a long time before it is opened at -0. (a) Is this RL or RC switching circuit. (b) Is this Natural or Step Response for t0? (c) Find veo'). (d) What is the time constant t of the circuit for t0? (e) Find Vco). (1) Write the expression for vct) fort >0. (g) Write the expression for ict) fort >0. (h) Write the expression for i(t) fort...
1. RL Circuits For the circuit in Figure 1, find the inductor voltage vit) if a) v(t) is the step function: 0 Vfor t<0 and 10 V for t>0. What is the time constant in this case? b) vs(t) 15 cos(100 t). You may use either the direct time-domain method, or use (complex) phasor method. 52 102 5mH L(t) Figure 1 2. Impedance You are given six black boxes, labelled "1" to ", each with two terminals. You are told...
The circuit illustrated below is from a homework problem (P9.2-14) in which you were asked to derive the differential equation describing how the output voltage vz(t) is related to the input voltage v.(t). The answer is given by: 25.0+(2.5, ., 1.0)+R,R.,6,6,"()=-R,R,C.C;": (1) (a) Leveraging this result, describe as concisely as possible the relationship among the components that produces (i) an overdamped response, (ii) a critically damped response, and (iii) an underdamped response. You must be concise to receive full credit....
Problem #7) Perform a steady-state AC phasor analysis of the circuit shown below in order to determine the RMS phasor values of the source current I, and the resistor voltage V, as shown in the figure, along with the value of the reactive power Qs produced by the voltage source: He v(t)=2.277-sin(0-t) 0=27. f ſ 60F f = 60 Hz vo 210 mH3 son Qs - - VARS
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