Show that if E(t) = U cos ωt+V sin ωt where U and V are constants then the steady state current in the RLC is Ip = (ω 2RE(t) + (1/C − Lω2 )E0 (t))/ ∆ , where ∆ = (1/C − Lω2 ) 2 + R 2ω 2 .
We need at least 9 more requests to produce the answer.
1 / 10 have requested this problem solution
The more requests, the faster the answer.
Show that if E(t) = U cos ωt+V sin ωt where U and V are constants then the steady state current is
Show that if E(t) = U cos ωt+V sin ωt where U and V are constants then the steady state current in the RLC circuit shown below Ip = (ω2RE(t)+(1/C − Lω2)E′(t))/∆ ∆ = (1/C − Lω2)2 + R2ω2.
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
Let v,(t) = 140 sin(5000+) V in the circuit Find the steady-state value of the current ij(t) in amperes at t = 6.32 milisecor Round the result to three decimal places. 1012 2 mH vg 2 mH 8 mH 30 Ω w Select one: a. 0.366 Ob. 1.966 O c.0.372 d. -1.966 e. -0,366
For the following LRC circuit with periodic electric source v(t), find the steady-periodic current in the form isp(t) = I0 sin(ωt − δ), where I0 > 0 and 0 ≤ δ < 2π. (Round numerical values to two decimal places.) R = 20, L = 10, C = 0.01, v(t) = 800 cos(5t)
5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state. 5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state.
cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8 cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8
A sinusoidal voltage Δv = 45.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 140 mH, C = 99.0 µF, and R = 61.0 Ω. (a) What is the impedance (in Ω) of the circuit? ________ Ω (b) What is the maximum current (in A)? _________A (c) Determine the numerical value for ω (in rad/s) in the equation i = Imax sin(ωt − ϕ). _________rad/s (d) Determine...
3. Use mesh-current method to find the steady-state expression for io(t). vs1 60 cos(40,000t)V v,,-90 sin(40,000t + 180°) V si- 202
Please solve this question The image of the parametrization Ф(u, u)-(a . sin(u) . cos(v), b . sin(u) . sin(v), c . cos(u)) with óくa, 0 < u < π, 0 < v < 2π parametrizes an ellipsoid. a) Show that all the points in the image of Ф satisfy the Cartesian equation of an ellipsoid E 2 b) Show that the image surface is regular at all points c) Write out the integral for its surface area A(E), (Do...
5. In class we saw that the function r(u, v) = (sin u, (2 + cos u) cos v, (2 + cos u) sin v), 0<u<27, 050521 parametrizes a torus T, which is depicted below. (a) Calculate ||ru x rull. (b) Show that T is smooth. (c) Find the equation of the tangent plane to T at (0,). (d) Find the surface area of T (e) Earlier in the semester, we observed that a torus can be built out of...