Use the equation V=Vo(1-e^(-t/Tau) = Vo(1-2^(-t/T) to prove that V=7/8Vo when t=3T
Use the equation V=Vo(1-e^(-t/Tau) = Vo(1-2^(-t/T) to prove that V=7/8Vo when t=3T
The relation Delta V(t) = Delta V(0)e^-t/tau says that the voltage drops asymptotically to zero as t rightarrow infinity. We might ask the question: "how long do we have to wait until the voltage across the capacitor is zero?" but the answer will be "After an infinite time". Initially, how large is Delta V(t)/Delta V(0)? After an infinitely long time, what is the value of Delta V(t)/Delta V(0)? [2] Saying that "the time t for Delta V(t)/Delta V(0) to be...
e:= 3. (i) Let T = (V, E) be a graph. Prove that the following are equivalent: (a) T is maximally acyclic: T does not contain a cycle but, for any u tv in V with {u, v} not in E, the graph (V, E U{e}) does contain a cycle. (b) T is minimally connected: T is connected but, for any e E E, the graph (V, E {e}) is not connected. (ii) Suppose that I (V, E) is a...
Prove that cos(3t)=4cos^3(t)-3cos(t). Use this to show that we can trisect any angle if we know how to solve a cubic equation c=4x^3-3x, where c is a constant. Then explain how to solve the equation c=4x^3-3x by intersecting two parabolas. Draw these parabolas.
01 i. Is Equation 1 dimensionally homogenous? Provide your explanation. V = Vo + gt2 (Equation 1) time t has the unit of second, In Equation 1, v and vo stand for velocities having the units of and g, gravitational acceleration has the unit of g = 9.81" ii. Is Equation 2 dimensionally homogenous? Provide your explanation. v = vo + gt (Equation 2) In Equation 2, v and vo stand for velocities having the units of ", time thas...
Using the state equation method, solve for Vo(s) for each of
the cases. LEAVE THE ANSWERS IN THE S DOMAIN. State equation
method.
Case I. Vs=15v
Case II. Vs=10e^-4t
Case III. Vs=4cos(3t)
7. Using the state equation method, solve for Vo(s) for each of the cases. LEAVE THE ANSWERS IN THE S DOMAIN. State equation method. 22 1 H V + F + vo(1) Case I. Vs=15 v Case II. Vs=10e^-4t Case III Vs= 4cos (3t)
Let v = (1, 2, 3, 4). Prove T:R4 → R, T() = .7 is a linear transformation. Find the matrix which represents T.
2. Use Fourier transform technique to find vo () in the circuit below, Let v,(t)-4e V -21 2 H Vi(t)(+ Vo (0) 6Ω
(2) Suppose that W is finite dimensional and T E (V, W). Prove that T is injective if and only if there exists SEC(W, V) such that ST is the identity map on V.
(2) Suppose that W is finite dimensional and T E (V, W). Prove that T is injective if and only if there exists SEC(W, V) such that ST is the identity map on V.
Rearrange V(t)/Vo = e^-t/RC to solve for C
Find f(t).
f(t)= -3t^2 e^-t -7te^-t -t+8 -8e^-t...?
5x-1 Find fit). L'{ x2(x+1) f(x)=? Use Laplace.