A potential difference of 4.50 kV is established between parallel plates in air.

If the air becomes ionized (and hence electrically conducting) when the electric field exceeds 3.05×10⁶ V/m , what is the minimum separation the plates can have without ionizing the air?

Answer in mm.

Consider the following accounts which we have utilized this semester. How many of the accounts listed below would be considered temporary?

(i) Unearned Consulting Revenue

(ii) Depreciation Expense

(iii) Sales Returns & Allowances

(iv) Accumulated Depreciation

(v) Allowance for Doubtful Accounts

3.Consider a series RLC circuit.
a) When the capacitor is charged and the circuit is closed, find the condition for the current to be oscillatory.
b) When the circuit is connected to an AC source V = ?0 cos??, find the voltage across the inductor and the
angular frequency at which the voltage across the inductor is maximized.

An LRC series circuit consists of a 3.15 H inductor, a 6.36 ohm resistor, and a 5.48 microFarand capacitor. The combination is connected to an AC votage source that has a peak voltage of 147 V and an angular frequency of 441 rad/s. What is the peak voltage measured across the inductor?

A 55.4 ? resistor is connected in series with a 16.2 microF capacitor and a 60 Hz, 140 V source.

a) Find the current in the circuit. Answer in units of mA.

b) What is value of the inductor that must be inserted in the circuit to reduce the current to one half the previous current?

Answer in units of H.

1. Given    V=100V    R=10kΩ    C=10µF    (10 pts)

1. Determine the mathematical expression for v_c

2. Determine the mathematical expression for i_c

3. Computer the capacitor voltage at t=150 ms

4. Computer the capacitor current at t=150 ms

5. Locate the points on the voltage and current curves.

Given an undirected graph G = (V,E), consisting of n vertices and m edges, with each edge labeled from the set {0,1}.

Describe and analyze the worst-case time complexity of an efficient algorithm to find any cycle consisting of edges whose labels alternate 0,1.

Complete this formal proof of Ex(P(x)v~P(x)) from the empty set. NOTE: similar to the rule above when instantiating quantifiers, if you need a random name, always start at the beginning of the alphabet. That is, use a first; only use b if necessary; etc.

Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 1.8×10⁴ m/s when at a distance of 2.6×10¹¹ m from the center of the sun, what is its speed when at a distance of 5.2×10¹⁰ m

v=…..m/s

A 55 kg astronaut who weighs 170 N on a distant planet is pondering whether she can leap over a 4.0-m-wide chasm without falling in.

If she leaps at a 15∘ angle, what initial speed does she need to clear the chasm? v=?