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subject: signals and systems
2. Consider the electric circuit shown in Fig. ??, L = 1H,...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
Consider an LC circuit with L = 1H, C = 1F. Suppose the circuit devices are...
Consider an LC circuit with L = 1H, C = 1F. Suppose the circuit
devices are connected to a voltage source f given by:
If the capacitor is initially discharged and no current is
flowing through the circuit, determine the charge on the capacitor
at any time in t. Can someone please solve it STEP BY
STEP without skipping any step please? It would be really helpful.
I´m lost ):
t si 0 <t < 6 f(t) = 6 si t...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial in...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
Consider a Sinusoidally Driven LC Electrical Circuit, which Contains an Electric Potential Oscill...
Consider a Sinusoidally Driven LC Electrical Circuit, which Contains an Electric Potential Oscillator, E E, cos(or), an Inductor, L, and a Capacitor, C. Note that an Oscillating Charge,g).Forms on the Capacitor Plates, as well as an Oscillating Current, I(). throughout the Circuit, which is Associated with the Driven Frequency, ω , as Shown. 1. 1(6) gt) E(r) Recall that the Electric Potential Over an Inductor is Given by E , and the dl dr Electric Potential Over a Capacitor is...
Problem 1 Given the circuit shown below in Fig. 1.1: Write the ordinary differential equation (ODE)...
Problem 1 Given the circuit shown below in Fig. 1.1: Write the ordinary differential equation (ODE) for the capacitor voltage. Find the zero-state unit step responses of v(t) and i(t) if vs-u(t) V using each of the following three methods of solving the ODE: a. b. i. ii. Solve the ODE by integrating for the solution; Solve the ODE by assuming homogeneous and particular solutions; Solve the ODE by using the general form solution for a 1st order ODE. iii....
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
Consider an LC circuit with L = 1H, C = 1F. Suppose the circuit
devices are connected to a voltage source f given by:
If the capacitor is initially discharged and no current is
flowing through the circuit, determine the charge on the capacitor
at any time in t. Can someone please solve it STEP BY
STEP without skipping any step please? It would be really helpful.
I´m lost ):
t si 0 <t < 6 f(t) = 6 si t...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
Consider a Sinusoidally Driven LC Electrical Circuit, which Contains an Electric Potential Oscillator, E E, cos(or), an Inductor, L, and a Capacitor, C. Note that an Oscillating Charge,g).Forms on the Capacitor Plates, as well as an Oscillating Current, I(). throughout the Circuit, which is Associated with the Driven Frequency, ω , as Shown. 1. 1(6) gt) E(r) Recall that the Electric Potential Over an Inductor is Given by E , and the dl dr Electric Potential Over a Capacitor is...
Problem 1 Given the circuit shown below in Fig. 1.1: Write the ordinary differential equation (ODE) for the capacitor voltage. Find the zero-state unit step responses of v(t) and i(t) if vs-u(t) V using each of the following three methods of solving the ODE: a. b. i. ii. Solve the ODE by integrating for the solution; Solve the ODE by assuming homogeneous and particular solutions; Solve the ODE by using the general form solution for a 1st order ODE. iii....
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