Given the first order equation describing the circuit... 4(dv/dt)+v=10
Find the time constant
Find the final value of the voltage
If v(0)=2 the function describing v(t) for all time.
Given the first order equation describing the circuit... 4(dv/dt)+v=10 Find the time constant Find the final...
suppose an input voltage is given as V(t) = 240[u(t-5) - u(t-10)]. In a branch of an electronic circuit, the variation of current with time is modeled by the differential equation d^2(i)/dt^2 + 36i = dv/dt. Assuming zero initial conditions, determine I as a function of t. (hint: use laplace transforms)
solve Question 6: Given that v(0) = 2 and dv(0)/dt = 4, solve the following second-order differential equation d- du ( +54 + 60 = 10e-'u(t) dt 4 marks
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...
7. Design an Op Amp circuit that solves the following first order differential equation for v(t): dv dt 8. Design an Op Amp circuit that solves the following second order differential equations for y(t): 습+10 y(t) = cos(21t) · dt?
Find the time constant t of the following differential equation: a(dy/dt)+by+cx=e(dx/dt)+f(dy/dt)+g, of the given that x is the inout, y is the output, and a through g are constants. 13, Find the time constant τ from the following differential equation, dt dt given that x is the input, y is the output and, a through g are constants. It is known that for a first-order instrument with differential equation a time constant r- alao dy the 13, Find the time...
1. For the circuit at right: a) Find the characteristic equation of the circuit at right. b) Find the solutions to the characteristic equation. d) The switch has been in the top position for a long time and is switched down at time t 0. Find the final and initial conditions: dt dt e) Write the full expression for iL(t), including all the constants that you find. t=0 3.6-V 5.V L:-10-mH R2:= 180,Ω 1. For the circuit at right: a)...
dx dt 1. For the circuit below determine: a) The initial conditions: iz(0+), dix(0*), v(0+), dv(0+) b) The circuit differential equation and solve for iz(t), t 2 0 (No credit for Transform techniques) ix VI 102 422 + lo 5+10u(t) 10 H 1/4 F V
(2) a) An RLC circuit has the following differential equation (DE) for t > 0. d’v(t)/dt + 10 dv(t)/dt + 16 v(t) = 0) Determine the value of the damping ratio 5, the type of damping, and the form of the natural response for t > 0. Include all values where possible. (7 pts.) b) An RLC circuit has the following differential equation (DE) for t> 0. d’i(t)/dt? +4 di(t)/dt + 9 i(t) = 0 Determine the value of the...