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A current i(t) = 220 sin (20pi t) mA is applied to a capacitor of C...
Please do the problem if you can do ALL parts. t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capa...
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
1.15 The current entering the positive terminal of a device is i(t-6e-21 mA and the voltage...
1.15 The current entering the positive terminal of a device is i(t-6e-21 mA and the voltage across the device is v() 10di/dt V. (a) Find the charge delivered to the device between t0 and t 2s (b) Calculate the power absorbed (c) Determine the energy absorbed in 3 s.
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t...
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t + A2e-40000-A ,t so ,t > 0 Assume that at time t0, the inductor voltage is 28 V. For t>0, find (a) the inductor voltage (b) the time when the inductor power is zero Now assume that at time t-0, the inductor voltage is-68 V. For t>O find (c) the inductor voltage for this new initial condition (d) the time interval during which the...
A sinusoidal voltage v(t) = (40 V) sin(100t) is applied to a series RLC circuit with...
A sinusoidal voltage v(t) = (40 V) sin(100t) is applied to a series RLC circuit with L = 160 mH, C = 99 mu/F. and R = 68 ohm. What is the impedance of the circuit? What is the current amplitude? Determine the numerical values for I_m, and omega, and phi in the equation i(t) = I_m sin(omegst minus phi).
A capacitor with capacitance C is initially charged with charge q0. At time t = 0 a resistor with resistance R is connected across the capacitor. (Figure 1)
To understand the behavior of the current and voltage in a simple R-C circuit. A capacitor with capacitance C is initially charged with charge q0. At time t = 0 a resistor with resistance R is connected across the capacitor. (Figure 1) Part CNow solve the differential equation V(t) = -CR dV(t)/dt for the initial conditions given in the problem introduction to find the voltage as a function of time for any time t.
The current in a 200 mH inductor is i = 75 mA, t < 0; -50+...
The current in a 200 mH inductor is i = 75 mA, t < 0; -50+ i= (B1 cos 200t + B2 sin 200t) e A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 28 ms Express your answer to three significant figures and include the appropriate units. μΑ p = Value Units...
The current in a 200 mH inductor is i=75 mA, t< 0; i= (B cos 200t...
The current in a 200 mH inductor is i=75 mA, t< 0; i= (B cos 200t + B, sin 2000) e -50t A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 24 ms Express your answer to three significant figures and include the appropriate units. μΑ ? p= Value Units Submit Request Answer...
The current in a 200 mH inductor is į = 75 mA, t = 0; i...
The current in a 200 mH inductor is į = 75 mA, t = 0; i = (B1 cos 200t + B2 sin 200t) e -50t A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 23 ms. Express your answer to three significant figures and include the appropriate units. MÅ ? p =...
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...
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....
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
1.15 The current entering the positive terminal of a device is i(t-6e-21 mA and the voltage across the device is v() 10di/dt V. (a) Find the charge delivered to the device between t0 and t 2s (b) Calculate the power absorbed (c) Determine the energy absorbed in 3 s.
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t + A2e-40000-A ,t so ,t > 0 Assume that at time t0, the inductor voltage is 28 V. For t>0, find (a) the inductor voltage (b) the time when the inductor power is zero Now assume that at time t-0, the inductor voltage is-68 V. For t>O find (c) the inductor voltage for this new initial condition (d) the time interval during which the...
A sinusoidal voltage v(t) = (40 V) sin(100t) is applied to a series RLC circuit with L = 160 mH, C = 99 mu/F. and R = 68 ohm. What is the impedance of the circuit? What is the current amplitude? Determine the numerical values for I_m, and omega, and phi in the equation i(t) = I_m sin(omegst minus phi).
The current in a 200 mH inductor is i = 75 mA, t < 0; -50+ i= (B1 cos 200t + B2 sin 200t) e A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 28 ms Express your answer to three significant figures and include the appropriate units. μΑ p = Value Units...
The current in a 200 mH inductor is i=75 mA, t< 0; i= (B cos 200t + B, sin 2000) e -50t A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 24 ms Express your answer to three significant figures and include the appropriate units. μΑ ? p= Value Units Submit Request Answer...
The current in a 200 mH inductor is į = 75 mA, t = 0; i = (B1 cos 200t + B2 sin 200t) e -50t A, t>0, where t is in seconds. The voltage across the inductor (passive sign convention) is 4.25 V at t = 0. Part A Calculate the power at the terminals of the inductor at t = 23 ms. Express your answer to three significant figures and include the appropriate units. MÅ ? p =...
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...
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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