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1. Find the general solution y(t) of the ordinary di erential equation
where ω is a non-negative constant. (Consider the ω = 0 and ω > 0 cases separately).
2. Use Laplace transform to solve the following di erential equation for y(t):
given that y(0) = 0 and y'(0) = 2.3. Consider the following partial di erential equation for u(x; t)
(a) If is a function of t, derive two ODEs by separation of variables.
(b) If is a function of x, derive two ODEs by separation of variables.
Describe the effect of following parameters. Abrasive grit size. Amplitude and frequency of vibration.
The rectangular pulse train of Figure (a) consists of pulses of height A and duration D. Such pulse trains are employed for timing purposes and to represent digital information. Fo
Some wire of cross-sectional area 1mm 2 has a resistance of 20Ω. Determine: a) The resistance of a wire of the same length and material if the cross-sectional area is 4 mm 2 .
Q. Illustrate Breakpoint Analysis? When a circuit consists of two or more ideal diodes, it will have several distinct operating conditions resulting from the off and on states
Q. What is the need of the resistance used in a clipper? Resistor is used in a clipper to limit the current through the diode. To avoid the damage due to excessive current thro
There is a force on the plunger required to do to move it into or out of the gap and work must be done by or against this force. The conservation of energy dictates that the change
Q. A single-phase, 3-kVA, 220:110-V, 60-Hz transformer has a high-voltage winding resistance of 0.3 , a low-voltage winding resistance of 0.06 , a leakage reactance of 0.8 on i
A 6-pole armature has 1000 conductors and a flux per pole of 40mWb. Determine the e.m.f. generated when running at 600 rev/min when (a) lap wound (b) wave wound.
Q. Illustrate the principle of alignment? Pieces of highly permeablematerial, such as iron, situated in ambientmediumof lowpermeability, such as air, in which a magnetic field
Q. A current of 65 A is measured with an analog ammeter having a probable error of ±0.5% of full scale of 100 A. Find the maximum probable percentage error in the measurement.
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