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The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed
The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed a) What is the time constant for this circuit? b) What is the final voltage across the 50 capacitor? c) What is the expression for the voltage across the 50 capacitor? d) Sketch the waveform for . e) What is the maximum instantaneous current that will flow through the capacitor? f) When will the voltage reach 5.0 V?
Question 1. (a) Consider the waveform below that has a period of T of 0.04 seconds....
Question 1. (a) Consider the waveform below that has a period of T of 0.04 seconds. What is the rms voltage of this waveform? V(t) 15 V 0.01 s 0.02 s T=0.04s (b) The figure below shows a network of resistances and reactances having values as shown connected to a voltage source with a voltage of (50+0j) volts rms and an angular frequency of 1000 rad/s. А. 32 3 mH V 52 200 uF 2 mH 1 mH (i) Redraw...
1. A resistor R and capacitor care connected in series with an AC voltage source with...
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time domain and draw their respective phasors in the complex plane. (ii) Does the current lead or lag the voltage? Explain intuitively. (b) Repeat (i), (ii), and (ii) for part (a) but with an inductor, L, instead of a capacitor. (c) Repeat (i), (ii), and (ii) for part...
Phasors and complex impedance 1. A resistor R and capacitor Care connected in series with an...
Phasors and complex impedance 1. A resistor R and capacitor Care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R +jX). If the impedance is written in polar form (Z = Zej®), find expressions for Z and Ø. Write your answers in terms of the variables R, C, and (=21f). b. If the voltage source is described by the phasor V = V.ejut,...
Consider the RC circuit in the figure below. The switch was at position a for a long period of time and it is suddenly...
Consider the RC circuit in the figure below. The switch was at
position a for a long period of time and it is
suddenly switched to position b at time t =
0.For
each statement select True or False.1. The current through the resistor equals the current across the
capacitor at all times.2. In the instant after the switch is thrown the current across the
capacitor is zero.3. In the instant after the switch is thrown the voltage across the...
2) Consider an ac source Vincos(wt + p), a capacitor and a resistor, all connected in...
2) Consider an ac source Vincos(wt + p), a capacitor and a resistor, all connected in series. IV.nl is the amplitude of the input voltage. Let outc and outur denote the amplitude of voltage across the capacitor and resistor respectively. In this problem we are looking only the steady state response (you! can ignore transients). (a) Derive an expression for the amplitude of voltage across the capacitor divided by the amplitude of the input voltage (b) Assuming that C =...
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...
In the figure below, we have a switch that opens or closes alternately for one second....
In the figure below, we have a switch that opens or closes alternately for one second. Assume that, before t = Os, the switch has been open for a long time. It closes at t = Os, opens again at t = 1s, closes at t = 2s and so on. Assuming V = 6 V, R = 3 MS2, and C = 2 u F, what is the voltage across the capacitor at t = 1.6 s? a sn...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. A...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C 150 HF. We will call the voltage across the capacitor and the resistor Ve(t) and Vr(t) respectively (c) The capacitor above is now replaced by an inductor whose inductance is 0.24 H. We call the voltage across the inductor VL(t) Calculate...
Question 1. (a) Consider the waveform below that has a period of T of 0.04 seconds. What is the rms voltage of this waveform? V(t) 15 V 0.01 s 0.02 s T=0.04s (b) The figure below shows a network of resistances and reactances having values as shown connected to a voltage source with a voltage of (50+0j) volts rms and an angular frequency of 1000 rad/s. А. 32 3 mH V 52 200 uF 2 mH 1 mH (i) Redraw...
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time domain and draw their respective phasors in the complex plane. (ii) Does the current lead or lag the voltage? Explain intuitively. (b) Repeat (i), (ii), and (ii) for part (a) but with an inductor, L, instead of a capacitor. (c) Repeat (i), (ii), and (ii) for part...
Phasors and complex impedance 1. A resistor R and capacitor Care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R +jX). If the impedance is written in polar form (Z = Zej®), find expressions for Z and Ø. Write your answers in terms of the variables R, C, and (=21f). b. If the voltage source is described by the phasor V = V.ejut,...
Consider the RC circuit in the figure below. The switch was at
position a for a long period of time and it is
suddenly switched to position b at time t =
0.For
each statement select True or False.1. The current through the resistor equals the current across the
capacitor at all times.2. In the instant after the switch is thrown the current across the
capacitor is zero.3. In the instant after the switch is thrown the voltage across the...
2) Consider an ac source Vincos(wt + p), a capacitor and a resistor, all connected in series. IV.nl is the amplitude of the input voltage. Let outc and outur denote the amplitude of voltage across the capacitor and resistor respectively. In this problem we are looking only the steady state response (you! can ignore transients). (a) Derive an expression for the amplitude of voltage across the capacitor divided by the amplitude of the input voltage (b) Assuming that C =...
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...
In the figure below, we have a switch that opens or closes alternately for one second. Assume that, before t = Os, the switch has been open for a long time. It closes at t = Os, opens again at t = 1s, closes at t = 2s and so on. Assuming V = 6 V, R = 3 MS2, and C = 2 u F, what is the voltage across the capacitor at t = 1.6 s? a sn...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t) 0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C 150 HF. We will call the voltage across the capacitor and the resistor Ve(t) and Vr(t) respectively (c) The capacitor above is now replaced by an inductor whose inductance is 0.24 H. We call the voltage across the inductor VL(t) Calculate...
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