Question 1. Suppose ?? is generated by an AR(1) process, such that ?? = 0.2 + 0.5??−1 + ?? ; ??~??(0, ? 2 )
(a) What is the partial autocorrelation function of the above AR(1) process?
(b) Is the above AR(1) process stationary?
(c) Derive E(??)?
(d) Derive V(?? )?
(e) What is the autocorrelation function of the above AR(1) process?
In: Statistics and Probability
Design an ultra-capacitor. Find an electrode geometry which maximizes the stored charge for a 100 cm3 volume. Discuss possible physical limits for the design, including dielectric breakdown, leakage current, and mechanical stability. Assume the operating voltage is 16 V. Compare your design to performance of commercially available units (e.g.from Maxwell Technologies).
In: Physics
A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 130 V , then the battery is removed.
A) How much energy is stored in the capacitor?
| U_C = __J |
How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?
W = _J
In: Physics
V. How does ARM processor differentiate between a timer interrupt and an A/D interrupt?
VI. What does privileged mode mean and what is the major difference between this mode and non-privileged mode?
VII. There are two interrupt pins on ARM microprocessor: IRQ and FIQ. Which one can interrupt the other one and why?
In: Electrical Engineering
What is the standard cell potential, E°cell, for the spontaneous voltaic cell made by coupling a Ca+2|Ca (E°red=-2.756V) half-cell and a Al+3|Al (E°red=-1.662V) half-cell? Report your answer in volts, V.
Please show where you get the numbers, and write clearly please :)
In: Chemistry
Determine whether the set with the definition of addition of vectors and scalar multiplication is a vector space. If it is, demonstrate algebraically that it satisfies the 8 vector axioms. If it's not, identify and show algebraically every axioms which is violated. Assume the usual addition and scalar multiplication if it's not defined. V = {all polynomials with real coefficients with degree > or equal to 3 and the zero polynomial}
In: Advanced Math
In an RL series circuit with L = 1/100 H, R = 20 Ω, and E = 60 V. Determine the limit of the maximum current reached (At the function you found to determine the current as a function of time apply the limit when t goes to infinity) and determine the time in which it reaches half of that value. Take i (0) = 0 A.
In: Math
1. A piece of zinc metal is added to an acidic, yellow aqueous solution of vanadate ion, dioxidovanadate(V), [VO2]+. The solution turns blue due to formation of vanadyl ion, oxidovanadate(IV), [VO]2+.
Write a balanced equation for the oxidation half-reaction. (2 points)
Write a balanced equation for the reduction half-reaction. (2 points)
In: Chemistry
A series circuit consists of a 0.046 µF capacitor, a 0.150 µF capacitor, and a 420 V battery. Find the charge for the following situations. (a) on each of the capacitors µC (0.046 µF capacitor) µC (0.150 µF capacitor) (b) on each of the capacitors if they are reconnected in parallel across the battery µC (0.046 µF capacitor) µC (0.150 µF capacitor)
In: Physics
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 100 cm3, the pressure is 160 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
In: Math