a) [15 marks] Write the differential equations that describe the behavior of the electrical system shown...
The system of differential equations for the currents i1 (t) and i2(t) in the electrical network shown in the figure is dt(々 =( R2-212/ R2/L1 Use variation of parameters to solve the syster if R1 = 8 Ω, R2-3 Ω, L1 = 1 h, L2-1 h, E(t) = 150 sin(t) V i1(0) = 0, and i2(0) = 0. (i1 (t),ら(t) = R2 し2
(a) Show that the system of differential equations for the currents iz(t) and iz(t) in the electrical network shown in the figure below is di2 41 + RI2 + Riz = E(t) dt di3 L2 + RI2 + Riz = E(t). dt R 13 41 i2 E ᏪᎲ L lllll L2 By Kirchhoff's first law we have the following relationship between 11, 12, and iz. 11 - 12+ iz By applying Kirchhoff's second law to the iq, iz loop, we...
the circuit is figure 1
a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 112 112 192 M + + vi(t) 1 H llll 1 H elle 1F HE vo(t)
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) (10 MARKS] 122 112 112 M + + vi(t) 1 H llll 1 H elle 1F vo(t)
a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 1 Ω 192 112 W vi(t) 1 H elle 1 H Illl 1 F volt) Figure 1
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...
Question 1 a) Consider the electrical circuit in Figure 1. Determine the state space representation of the circuit where the output is voltage across the capacitor. (6 marks) b) From result obtained in (a), predict the transfer function. (4 marks) [10 MARKS] 192 192 192 m V:(t) 1 H 1F volt) Figure 1
Name: Section: Jan. 31, 2018 1. Consider the circuit shown in figure 1 (a) Write the mesh-current equations for the circuit. DO NOT SOLVE. (b) Write the node.voltage equations for the cireuit. DO NOT SOLVE 2. Consider the circuit shown in figure 2. The sinusoidal source is v,(04 sin (100t+90) volts (a) Transform the circuit to the frequency domain. (b) Use phasors with the mesh-current method to find the steady state expression for i(t). (c) Find the average power absorbed...
(a) Show that the system of differential equations for the currents i2(t) and i3(t) in the electrical network shown in the figure below is L1*(di2/dt) + Ri2 + Ri3 = E(t) L2*(di3/dt) + Ri2 + Ri3 = E(t) Solve the system in part (a) if R = 5 Ω, L1 = 0.01 h, L2 = 0.05 h, E = 100 V, i2(0) = 0, and i3(0) = 0. i2(t) = ?? i3(t) = ?? (c) Determine the current i1(t). i1(t)...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...