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gmor reaion tlr am in condition(20) 2. For the following circuit, write the differential equation for...
2) For the following circuit, analyze the current IR3 through resistor Rz: a) Write the differential equation that describes the circuit's behavior after the switch has flipped. b) Find the time constant based on your differential equation. c) Find the initial condition assume the circuit was in steady state before the switch flipped). d) Find the final condition. e) Based on your answers to a-d, write the solution to your differential equation IR3 as a function of time). f) Plot...
A. Write down the differential equation describing the circuit for an arbitrary time-dependent voltage V (t), in terms of the inductance L, capacitance C and resistance R of the circuit. B. Determine an analytic solution when the voltage is switched off [V(t) = ol. First, express your solution in terms of arbitrary coefficients as appropriate. Then, determine those coefficients for the initial conditions where the current is given by I(に0)-10 and satisfies I'(t = 0) = 0. C. Determine the...
A. Write down the differential equation describing the circuit for an arbitrary time-dependent voltage V (t), in terms of the inductance L, capacitance C and resistance R of the circuit. B. Determine an analytic solution when the voltage is switched off [V(t) = ol. First, express your solution in terms of arbitrary coefficients as appropriate. Then, determine those coefficients for the initial conditions where the current is given by I(に0)-10 and satisfies I'(t = 0) = 0. C. Determine the...
Consider the partial differential equation together with the boundary conditions u(0, t) 0 and u(1,t)0 for t20 and the initial condition u(z,0) = z(1-2) for 0 < x < 1. (a) If n is a positive integer, show that the function , sin(x), satisfies the given partial differential equation and boundary conditions. (b) The general solution of the partial differential equation that satisfies the boundary conditions is Write down (but do not evaluate) an integral that can be used to...
derive a differential equation for ??(?) (The current through the indcutor) for the circuit. Define state variables, to compute ??(?) and ??(?)(voltage across the inductor). t 0 C w 2 L 8 he circuit parameters in the circuit in Fig. P12.31 are R 1600 2; L 200 mH; and C 200 nF. If ,(t)-6 mA, find
One end of the pipe is closed, which corresponds to the boundary conditionu(0, t) = 0, for t > 0. The other end of the pipe is open, which correspondsto the boundary condition ux(L, t) = 0, for t > 0.(a) Suppose that µ < 0, so µ = −k^2 for some k > 0. Find the non-trivial solution X(x) that satisfies equations (3), stating clearly what values k is allowed to take.(b) Write down the general solution of equation...
2. Consider the following partial differential equation (a) Separate this equation into two ordinary differential equations (b) Translate the following boundary conditions on the above partial differential equation to conditions on the ordinary differential equations found above. 2. Consider the following partial differential equation (a) Separate this equation into two ordinary differential equations (b) Translate the following boundary conditions on the above partial differential equation to conditions on the ordinary differential equations found above.
(1 point) Solve the following differential equation with the given boundary conditions -If there are infinitely many solutions, use c for any undetermined constants - If there are no solutions, write No Solution - Write answers as functions of 2 (ie.y=y(2)). y" +9y=0 • A) Boundary conditions: y(0) = 2 • B) Boundary conditions: y(0) = 2 y= No Solution • C) Boundary conditions: y(0) = 2 No Solution
help on these 4 multiple choice questions Question 40 2 About the differential equation that describes the elastic curve for a beam Which of the following statements is false; For a beam made with a single uniformes constant For a promotic beam is constant For a primi beam is constant For a beam with varying cross-section will change with location Question 41 2 pts About the differential equation that describes the elastic curve for a beam which of the following...
Consider the following circuit, with given constants ?-40V, R-200, L-4mH, C,-5?F and C,-5?F, where the switch S has been closed for long enough so that the circuit has reached a steady state, at which point the switch is opened. CI (a) Use Kirchoff's Law to obtain a differential equation for the circuit, expressed only in terms of the charge q in the circuit and other given constants, and write down the initial conditions (current and voltage across each element) at...