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05. If, for all time t, v(t)-12 V, R-6.C2F, and i(t)-0A, the voltage y(t) (in volts)...
A 3300 microF capacitor is connected in series with a 50 kilo ohms resistor to a 64 V voltage source. At t=0, the charge on the capacitor is zero.
1)A 3300 F capacitor is connected in series with a 50 k resistor to a 64 V voltage source. At t=0, the charge on the capacitor is zero. Initially, is almost zero, while is almost 64 V. The current is constant over time. While the voltage across the capacitor changes, the voltage across the resistor remains constant. The voltage across the capacitor is always 64 V. Initially, is almost 64 V, while is almost zero. As the charge on the capacitor increases over time, so does the current through the circuit.2)At what time is the...
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...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of Rohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 8 = E(t). Since I we have er et de 2 – EC). ae dt Suppose the resistance is 3082, the capacitance...
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?
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...
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. Aft...
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 (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)
Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)
All missing parts please. (7%) Problem 6: A 16-Ω resistor, 45-uF capacitor, and 3.5-mH inductor are...
All missing parts please.
(7%) Problem 6: A 16-Ω resistor, 45-uF capacitor, and 3.5-mH inductor are connected in series with an AC source of amplitude 13 V and frequency 135 Hz. 8% Part (a) What is the impedance of the circuit, in ohms? 8% Part (b) What is the amplitude of the current in the circuit, in amperes? 8% Part (c) What is the phase constant of the current, in degrees? 8% Part (d) With a source voltage of Vsourc,-Vocos(2π...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
citor i Voltage and current as a function -10 of time. b. Find and plot the...
citor i Voltage and current as a function -10 of time. b. Find and plot the instantaneous power pl) on the capacitor. c. Find and plot the instantaneous energy wit stored on the capacitor. ce of V. d plot The voltage across a capacitor with capacitance of 50 aF is given by 6.8 nce of i) V. and f time. -20, 0sI<S 40-300, 5SI<10 6.10 (1) -10r+200, 10 sI<20 0, otherwise ance 000) This waveform is shown in Figure P6.8....
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...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of Rohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 8 = E(t). Since I we have er et de 2 – EC). ae dt Suppose the resistance is 3082, the capacitance...
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...
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 (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
All missing parts please.
(7%) Problem 6: A 16-Ω resistor, 45-uF capacitor, and 3.5-mH inductor are connected in series with an AC source of amplitude 13 V and frequency 135 Hz. 8% Part (a) What is the impedance of the circuit, in ohms? 8% Part (b) What is the amplitude of the current in the circuit, in amperes? 8% Part (c) What is the phase constant of the current, in degrees? 8% Part (d) With a source voltage of Vsourc,-Vocos(2π...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
citor i Voltage and current as a function -10 of time. b. Find and plot the instantaneous power pl) on the capacitor. c. Find and plot the instantaneous energy wit stored on the capacitor. ce of V. d plot The voltage across a capacitor with capacitance of 50 aF is given by 6.8 nce of i) V. and f time. -20, 0sI<S 40-300, 5SI<10 6.10 (1) -10r+200, 10 sI<20 0, otherwise ance 000) This waveform is shown in Figure P6.8....
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