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1. What is the total distance around the circumference of a circle of radius 1 m? What is the total vector distance around the circle?
2. What is the total surface area of a cube of sides 1 m? Assuming the normals to the surfaces to be directed outward of the cubical volume, what is the total vector surface area of the cube?
For PID control, what are roles of integral term and derivative term. Given KP=10, KI=3, and KD=4, write down this PID controller function.
Write the sinusoidal expressions for voltages and currents having the following rms values at a frequency of 60 Hz with zero phase shift:
Two in finitely long, very thin wires lie on the x and y axes and carry currents as shown in Figure. Show the direction of the forces on the wires due to the magnetic fields on the positive and negative part of each axis, assuming that Ix and Iy ar..
A ball is shot into the air at 30 degress above the horizontal. It's initial Velocity is 5m/s and lands at the same height that it is launched from. How far does it travel horizontally
In a silicon bar uniformly dopes with 10^16 phosphorus atoms per cubic cm and 5*10^14 boron atoms per cubic cm. Calculate the mobile electron and hole concentrations for this bar.
Air enters an adiabatic nozzle steadily at 300 kPa, 20076;C, and 30 m/s and leaves at 100 kPa and 180 m/s. The inlet area of the nozzle is 80 cm2. Determine (a) the mass flow rate through the nozzle, (b) the exit temperature of the air
Suppose there is a linear one-port that yields v = 10v when loaded with a resistnace RL = 100 kOhm, and i = 0.25 mA when loaded with RL = 10kOhm. Find the Thevenin and Norton equivalents of such a port.
Assuming that all of the SO3 is obtained at the exit of the separator in pure form (i.e., no oxygen or nitrogen are present), determine the flow rate of the recycle stream (per 100 mol in the feed) that is required to produce an overall conversio..
Determine the diode currents I1 and I2. Assume that cut-in voltage for both diodes is VΥ = 0.7V and what is the greatest reverse voltage that will appear across the diode?
A three 480V system is connected to a balanced three-phase load. The line current I_a is 10A and is in phase with the line-to-line voltage V_bc. Calculate the impedanceof the load for the following a) If the load is wye-connected
Given a four-volt peak to peak square wave, calculate the mean-square error in approximating the wave by only its fundamental sinusoidal component. Assume the average value is zero (no DC offset).
The 1 m long wire is oriented perpendicularly to the infinitely long wire, and the end closer to the infinitely long wire is located 0.5 m from it. Find the induced EMF. Hint: solving the problem requires integration.
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