For the system shown, determine the voltage V, in terms of the resistances and voltage Vi. R2 View imiznint
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...
2. The voltage gain of a circuit (jw) V- ., where vi and v, are input and output Samo i RC voltage, respectively. What kind of this filter? (25 pts) a) According to G(jw), sketch the circuit, please label vin, V. R and C in your circuit. b) Type of filter:
Using generating functions, find the number of solutions of the equation u1+u2+u3+u4+u5+u6=24 where 2 _< ui _<7, i=1,....,6
5. Let ui, . . . ,Um, w V. Prove that vi, . . . , tầm, w s linearly independent if and only if vi . . .tầm is linearly independent and w f span(vi,...Vm).
4. One ordered pair u (V1,U2) dominates another ordered pair u-(ui,u2) iful > ข1 and U2 > Un Given a set S of ordered pairs, an ordered pair u E S is called Pareto optimal for S if there is no vES such that v dominates u. Give an efficient algorithm that takes as input a list of n ordered pairs and outputs the subset of all Pareto-optimal pairs in S. (10 points correct reasonably fast algorithm with justification, 5...
Using generating functions, find the number of solutions of the equation u1+u2+u3+u4+u5+u6=24 where 2 _< ui _<7, i=1,....,6
Find the output voltage Vo as an expression in terms of the input sources Vi, v2, v3, and the resistance R in the following op-amp circuit. 3. Ri Vy R: 4. In the following two stage op-amp circuit, find the output voltage Vo as an expression in terms of the input voltages v1, v2 and resistor values R1, R2, R3, and R4. R2 R ウー+
1) In this exercise, we are given the distribution of Sn=U1+U2+…+Un, where Ui are i.i.d. Uniform(a=0,b=1) random variables. a) Find the p.d.f. of S3=U1+U2+U3 and sketch its graph. b) Find the p.d.f. of S4=U1+U2+U3+U4 and sketch its graph c) Neither S3 or S4 are distributions with a name, but if you sketch their p.d.f.s, they should resemble a previous distribution. Which one?