A factory's electrical load can be represented as three parallel admittances (see attachment). The values of the admittances are given in the table in polar form.

(a) Determine

(i) The current taken from the supply
(ii) The overall power factor of the load
(iii) The value of the capacitor required in parallel to the load to reduce the supply current by 20% and the new power factor
with the capacitor in circuit

(b) The power factor for the factory load can be improved to unity by using a sufficiently large parallel capacitor

(i) Calculate the value of this capacitor
(ii) Calculate the resonant frequency of the circuit when this capacitor is in circuit (using the condition that at resonance
BC = BL, like XC = XL in a series circuit). Please comment on this answer.
(iii) State, with reasons, if the 'unity power factor' condition gives the minimum value of supply current.

The diagram referenced in this question has been attached.
I've also attached this problem as a Word document to allow super/subscripts.

Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require this initial fee. Some financial advisors argue that the load mutual funds may be worth the extra fee because these funds provide a

The helicopter can produce a maximum downward air speed ( v = 24 m/s ) in a slipstream of a diameter ( D = 9 m). Knowing that the weight of the helicopter and the crew is ( 15 kN ) and assuming air density rho = 1.21 kg/m^3 ), determine the maximum load that helicopter can lift while hovering in midair. ( 29.3 kN )
Thank you

Suppose three values (x, y, and z) are stored in a machine's memory. Describe the sequence of events (loading registers from memory, saving values in memory, and so on) that lead to the computation of x + y + z. How about (2x) + y?

For the depletion-load amplifier, let W1=80microm, L1=4micrometers, W2=8 micrometers and L2=32 micrometers. If the body-effect parameter X=0.2, find the voltage gain neglecting the effect on ro.
a. -44.72 V/V
b. -45.6V/V
c. 44.72 V/V
d. 45.6 V/V

Question: When an object weighing 50 N is hung from a vertical spring, it stretches 20 cm. Calculate the spring's elastic constant. If the 50 N load were replaced with a 80 N weight, how far would the spring stretch?

Sometimes the term centroid throws me for a loop. So, how would I set this problem up?
I'm asked to determine the deflection of the tip of a beam and max direct stress and location for a 2000N load.
Given load=2000N, on the tip of a 1m beam. Beam dimensions are H=80mm B=W=40mm and t=thickness of 1.5mm.

In the circuit shown (in the attachment) a ZL = 200 + j 100 Ohm load is to be matched to a 40 Ohm line, using a length, l, of lossless transmission line of characteristic impedance, Z1. Find l and Z1. Determine, in general, what type of load impedances can be matched using such a circuit.