Elaborate theory behind the use of ballistic galvanometers; including diagrams and mathematical derivations

The full load speed of a three-phase four-pole 50Hz, 160kW induction motor is 1,475rpm.
The starting torque is 170%, the yield torque is 280% of the rated torque,
and the moment of inertia of the rotor is 2.5kg-m ^ 2.
The torque of the load converted to the motor shaft is 800 N-m at full load speed
and the moment of inertia is 20 kg-m ^ 2.

a) Find the starting time when the load torque is assumed to be constant.
b) Find the start time assuming load torque is proportional to speed.
c) Find the starting time assuming load torque is proportional to the square of the speed.
d) Find the starting time when the load torque is assumed to be pure inertia with zero.

answer -
a) 2.7sec
b) 2.0sec
c) 1.9sec
d) 1.7sec

****MATLAB QUESTION**** As an enthusiastic and motivated student you decide to go out and buy plenty of pens for all your classes this semester. This spending spree, unfortunately, occurred before you realized your engineering classes seldom require the use of "ink". So now, you're left with four different types of pens and no receipt-you only remember the total amount you spent and not the price of each type of pen. You decide to get together with three of your friends who coincidentally did the same thing as you, buying the same four types of pens and knowing only the total amount.

Write a script to find the prices of each type of pen..

A cooper wire of 100m has the resistance of 1 Ohms. Determine the diameter of the wire.

A 460 V 25 Hp, 60 Hz, 4-pole, Y-connected induction motor has the following parameters in ohms per phase referred to the stator circuit.

R₁= 0.641 W R₂= 0.332 W   X₁= 1.106 W X₂=0.464 W X_m=26.3 W

The rotational losses are 1100 W and are assumed to be constant. The core loss is included in this figure. The motor is supplied at rated voltage and rated frequency. Calculate;

1. Synchronous speed
2. Slip at which maximum torque occurs
3. The maximum torque of the motor
4. Assuming that the torque curve is linear between T_max and synchronous speed, what is the motor mechanical torque at S_Tmax/2?

The supply frequency is reduced to 30 Hz.

1. What should be the supply voltage to keep the pole flux constant at 60 Hz value?
2. Repeat the solution for 30 Hz
3. Compare results of 30 Hz and 60 Hz operation.

Explain the principle of operation of an ultrasonic sensor for use in an industrial automation application. Answer should include details on the type of target that can be detected, effect on sensing distance of different target types, typical sensing distance and what the term ‘blind zone’ refers to in relation to these sensors.

Please use your own words, starting from the electrical characteristics of both capacitor and inductor, to explain how capacitor and inductor store energy and attain memory.

Sketch the asymptotes of the Bode plot magnitude and phase for the transfer functions:

1. T(s) = 1/((s+1)^2+(s+10)^2)

2. T(s) = (s+5)(s+10)/((s)(s+1)(s+100))

Please give brief descriptions and examples with diagrams on
RSSI POWER BANDS
SENSITIVITY

2. In a balanced Y-Y four-wire connection system, the source is an abc sequence of voltage and ??? = 100∠0 0 . The load impedance per phase is 4 + ?7 Ω , and the line impedance per phase is 2+?1 Ω. Solve for the Line Current and Neutral Current.

Please give brief descriptions and examples with diagrams on
CHANNEL POWER
POWER DENSITY
IQ DIGITAL ANALOG MODULATION

Capacitors and Inductors

Identify some of the different types of capacitors, and their characteristics. Identify some of the different type of inductors, and their characteristics. It would be appropriate to include small pictures.

In your own words, describe what an operational amplifier is and what its major applications are. Then describe what an ideal model for op amp is and what some of the main assumptions made for an op amp to be modeled with an ideal model.