Flux is the rate of flow of energy through a particular area over a specific amount of time. It is a measurement of power per unit area and can therefore be expressed as watts per square meter (). Flux is affected by the area of the surface, the orientation of the surface, and the density of the energy flow. Using vector calculus, flux (Φf) can be calculated as the surface integral of the vector field (E) multiplied by the total vector area (dA):
This is a mathematical means to determine the amount of flow through a specific area.
(2) Time invariant
Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) denotes the system output and x(t) is the system input
a.) y(t) = x(t-2) + x(2-t)
b.) y(t) = [cos(3t)]x(t)
c.) y(t) = y(t) = x(t/3)
d.) y(t) = (dx(t))/dt
Via various other online resources, I have the cold-cut answer, however I lack the understanding of how to arrive to many of them. I realize this is a hefty problem with lots of work involved- any submission is appreciated and will be rated, even if it is a conceptual explanation.•
PLEASE SHOW YOUR STEPS!!!!!!!
An industrial consumer is operating a 50kW induction motor at a lagging PF of 0.8. The source voltage is 230 Vrms.
If the customer wishes to raise the PF to 0.92 lagging, what is the capacitance (of S2 ) that needs to be connected in parallel with the motor? Assume the operating frequency is 60 Hz.
A. 920 µF
B. 812 µF
C. 974 µF
D. 768 µF•
A heating element is powered by a voltage of 120V. The current in the heating element is 10A. The element is on for 15 minutes. Energy cost is 14 cents/kWh. Determine the amount of power absorbed by the heating element.
A heating element is powered by a voltage of 180V. The current in the heating element is 11A. Energy cost is 11 cents/kWh. Determine the cost (in dollars rounded to the nearest cent) to operate the heating element for 19 hours.•
The current in a circuit element is given by
Determine the total charge that has entered the circuit element from t=0 to t=10. All times are given in seconds.
A heating element is powered by a voltage of 190V. The current in the heating element is 15A. The element is on for 3 minutes. Energy cost is 11 cents/kWh. Determine the amount of charge that flows through the heating element.•
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