A particular load has a pf of 0.8 lagging. The power delivered to the load is 40 kW from a 220-V rms 60-Hz line. What value of capacitance placed in parallel with the load will raise the pf to 0.9 lagging?

A particular load has a pf of 0.8 lagging. The power delivered to the load is 40 kW from a 270-V rms 60-Hz line. What value of capacitance placed in parallel with the load will raise the pf to 0.9 lagging?

Two loads connected in parallel draw a total of 2.4 kW at 0.8 pf lagging from a 120-V rms, 60-Hz line. One load absorbs 1.5 kW at a 0.707 pf lagging. Determine: (a) the pf of the second load, (b) the parallel element required to correct the pf to 0.9 lagging for the two loads.

Fill in the blank with an appropriate word, phrase, or symbol(s). Adams ' and Webster 's apportionment methods favor _ states.

Three loads are connected in parallel to a $120 \angle 0^{\circ} \mathrm{V}$ rms source. Load 1 absorbs 60 kVAR at pf = 0.85 lagging, load 2 absorbs 90 kW and 50 kVAR leading, and load 3 absorbs 100 kW at pf = 1. (a) Find the equivalent impedance. (b) Calculate the power factor of the parallel combination. (c) Determine the current supplied by the source.

Show that both $\int_{0}^{1} \sqrt{1-x^{2}} d x$ and $\int_{0}^{1} \frac{1}{1+x^{2}} d x$ equal $\frac{\pi}{4}$. Use Simpson’s Rule on each integral with n=4 and n=8 and compare to the exact value. Which integral provides a better algorithm for estimating $\pi$?

Two loads connected in parallel draw a total of 2.4 kW at 0.8 pf lagging from a 120-V rms, 60-Hz line. One load absorbs 1.5 kW at a 0.707 pf lagging. Determine: (a) the pf of the second load, (b) the parallel element required to correct the pf to 0.9 lagging for the two loads.

Evaluate the expression.

$$\log _{4} 64$$

Selecting from millimeter, meter, and kilometer, determine the best unit of measure to express the given length. The length of a football field

The correlation between a cereal’s fiber and potassium contents is r = 0.903. What fraction of the variability in potassium is accounted for by the amount of fiber that servings contain?

What is $2\frac{5}{12}\times \frac{12}{7}$? A $\frac{5}{7}$ B $2\frac{5}{7}$ C $2\frac{17}{19}$ D $4\frac{1}{7}$

The 60-Hz line voltage for a 60-kW, 0.76-pf lagging industrial load is 240$\angle 0^{\circ}$ V rms. Find the value of capacitance that when placed in parallel with the load will raise the power factor to 0.9 lagging.

(a) Which of the haiku convey humor, and which seem serious? (b) Do you chink that the haiku form works better with a more solemn or a more humorous content? Explain.

Establish that if $x_{0}, y_{0}$ is a solution of the equation $x^{2}-d y^{2}=-1,$ then $x=2 d y_{0}^{2}-1$ $y=2 x_{0} y_{0}$ satisfies $x^{2}-d y^{2}=1 .$ Brouncker used this fact in solving $x^{2}-313 y^{2}=1$.