Please use differential equations and show the step by step process.
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Please use differential equations and show the step by step process. Determine the current for t > 0 in the circuit...
1. (20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions...
1. (20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R1 = 112, R2 = 52, L1 = 2H, L2 = 4H, C1 = 0.5F, C2 = 0.25F R1 C1 L2 E(t) :C2 } R2
1. Determine the differential equations for the given electrical circuit shown below. Equa- tions should be...
1. Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R2 = 11, R2 = 512, L1 = 2H, L2 = 4H, C= 0.5F, C2 = 0.25F C R1 w mm foto E(0)
(20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should...
(20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t) Volts, R1 = 11, R2 = 512, L1 = 2H, L2 = 4H, C1 = 0.5F, C2 = 0.25F R1 C L2 + E(1) i2 C2 R2
Please write very clear 1. (20 points) Determine the differential equations for the given electrical circuit...
Please write very clear
1. (20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of i1, and i2 and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R2 = 112, R2 = 512, L1 = 2H, L2 = 4H, C = 0.5F, C2 = 0.25F font E(t)
The system of differential equations for the currents i1 (t) and i2(t) in the electrical network...
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
Determine iL(t) for in the circuit of Fig. P12.21 for t =45 ms , given that...
Determine iL(t) for in the circuit of Fig. P12.21 for t =45 ms ,
given that the switch was opened at t = 0 after it had been closed
for a long time, vs = 12 mV, R0 = 5 Ω , R1 = 10 Ω,R2 = 20 Ω, L =
0.2 H, and C = 6 mF. Give the current in micro Amperes, Hint, the
initial conditions are zero and the steady state current in the
inductor will be...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L 2 H, and C = 0.5 F, where vs(t) is given by the waveform displayed in the same figure 1 V (a) Determine the s-domain current I(so) at so-0.05 jo.07 (rad/s): IL(So)- Submit Answer Tries 0/3 (b) Determine the t-domain current i(to) at to 4.5 (s): Submit Answer Tries 0/8 Q4. Determine the output voltage in the circuit as shown below, given that Vs-35*u(t)...
(a) Show that the system of differential equations for the currents i2(t) and i3(t) in the...
(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)...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
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. (20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R1 = 112, R2 = 52, L1 = 2H, L2 = 4H, C1 = 0.5F, C2 = 0.25F R1 C1 L2 E(t) :C2 } R2
1. Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R2 = 11, R2 = 512, L1 = 2H, L2 = 4H, C= 0.5F, C2 = 0.25F C R1 w mm foto E(0)
(20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of in, and in and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t) Volts, R1 = 11, R2 = 512, L1 = 2H, L2 = 4H, C1 = 0.5F, C2 = 0.25F R1 C L2 + E(1) i2 C2 R2
Please write very clear
1. (20 points) Determine the differential equations for the given electrical circuit shown below. Equa- tions should be purely in the form of i1, and i2 and their derivatives (no integral terms). Simplify to the simplest form. Assume: E(t) = 2sin(t)Volts, R2 = 112, R2 = 512, L1 = 2H, L2 = 4H, C = 0.5F, C2 = 0.25F font E(t)
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
Determine iL(t) for in the circuit of Fig. P12.21 for t =45 ms ,
given that the switch was opened at t = 0 after it had been closed
for a long time, vs = 12 mV, R0 = 5 Ω , R1 = 10 Ω,R2 = 20 Ω, L =
0.2 H, and C = 6 mF. Give the current in micro Amperes, Hint, the
initial conditions are zero and the steady state current in the
inductor will be...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L 2 H, and C = 0.5 F, where vs(t) is given by the waveform displayed in the same figure 1 V (a) Determine the s-domain current I(so) at so-0.05 jo.07 (rad/s): IL(So)- Submit Answer Tries 0/3 (b) Determine the t-domain current i(to) at to 4.5 (s): Submit Answer Tries 0/8 Q4. Determine the output voltage in the circuit as shown below, given that Vs-35*u(t)...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
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...
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