Please find V1 and V2 (in differential Equation form) in the following circuits 10 igtn Pytn)...
HW6. Please find v1 and V2 (in differential Equation form) in the following circuits: i1t0) 1200) Pi() M 1t0) 240) e2l0) 3- i1(0) 200) 1(0) e2l4) 4- 1(0) 200) ei(0) 02(1)
Lecture: MicroElectronic
Circuits-2
a): Draw V1 , V2 and V0.
b): Find the expression of oscillation frequency.
c): Specify the values of circuit elements to set the
oscillation frequency at 100kHz
v1 2 VO Az R #h V2 C1
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
Problem 1. (25 points) Consider the following differential equation. 36 (a) Using the change of variable, 2 VT, write the differential equation in the form of Bessel's equation, 22y" zy(22- v2)y 0. (b) Find the general solution of the differential equation (y(). (You do not need to find the value:s of Gamma functions.) (c) Find the term multiplying ? in the solution. (You do not need to find the values of Gamma functions.)
Problem 1. (25 points) Consider the following...
EXERCISE 12.2 For each of the circuits in Figure 12.66, find and sketch the indicated zero-input response corresponding to the indicated initial conditions a) In Figure 12.66, find v2, assuming v1(01 V, v2(00 b) In Figure 12.67, find v, assuming i(0) 0, v0) 1V c) Repeat (b), but with the resistor changed to 5 S2 i mH 10 uF 10022 V 24 FIGURE 12.67 FIGURE 12.66
EXERCISE 12.2 For each of the circuits in Figure 12.66, find and sketch the...
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
Let V1 = (1,2,0)^T, V2 = (2,4,2)^T, and V3 = (0,2,7)T and A =
[V1,V2,V3]
5) (20 points) Let vi = (1,2,0)T, v2 = (2,4, 2)T and v3 = (0, 2.7)T and A- [v1, v2, v3 a) Find an orthonormal basis for the Col(A) b) Find a QR factorization of A. c) Show that A is symmetric and find the quadratic form whose standard matrix is A
Consider the autonomous first-order differential equation y = 10 + 3y – v2 Find the DISTINCT critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. Enter your answer as a comma separated list of pairs consisting on a critical point and its stability type (e.g. your answer might look like (2,AS), (-3,SS), (7,US)) Critical Point and Stability: For the initial value problem y' = 10 + 3y – y,...
1. [10] Let CONH V1 = 1 , V2 = and ū3 = 1 __ Find, with justification, a vector ✓A E R4 for which {ū1, V2, V3, VA} is a basis of R4.
3. Consider the following differential equation 0o and a series solution to the differential equation of the form a" n-0 (a) Find the recurrence relations for the coefficients of the power series. 3 marks] (b) Determine the radius of convergence of the power series. l mar (c) Write the first eight terms of the series solution with the coefficients written in terms of ao and ai 2 marks]
3. Consider the following differential equation 0o and a series solution to...