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Consider a vector field, F(r,theta,phi)= ar*cos^2(theta)/r^2 for the volume V of a spherical shell, centered at the origin,with inner and outer radii 1 and 2 meters. a) Evaluate triple integral delta.F dv over v. b) Calculate also the closed surface F.ds and verify the divergence c) Can F be expressed as the curl of a vector? explain.
The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its stand and cell is E volt. It is employed to measure the e.m.f. of a battery whose internal resistance is 0.5 ohm. If the balance point is obtained at l =3..
A cam is to be desinged for an automated part loader.Using the motion equations,construct a chart that tabulates follower displacement versus time and cam rotation. Also plot this data when the prescribed motion for this application.
(a) Find the electric field intensity using Cartesian vectors, Ecart, at the free space point P(-2.00 m, 5.00 m, 2.00 m). (b) Find P in spherical coordinates. (c) Find the electric field intensity using spherical vectors, Espher.
Design an active first-order RC low-pass filter (using a 741 op-amp) with a cut-off frequency of 10 kHz and a band-pass gain of 20 dB. Derive the step response and voltage transfer function.
The system uses a 7-cell reuse pattern. If the offered traffic per user is 0.03 Erlangs and the average number of calls per hour per user is 1.5, for an Erlang-C system with a probability of delaying a call being 5%, calculate the traffic load per..
Design a 2-bit counter that, when v = 1, counts in the repeating sequence: 0, 3, 1, 2, and when v = 0, counts in the reverse direction. (a) Construct a state diagram and state table. (b) Implement the counter using D flip-flops.
A volume is divided into two equal parts by a partition. The left volume has N atoms. The atoms have a mass m. A hole of area A is made in the partition at time t=0 A)Develop an expression for the number of white atoms on each side of the partition..
Assume that capacitor is completely discharged when t
Determine the system impulse response in time domain and draw its root locus and comment on system stability.
Does the degree of difficulty change when switch from solving a two loop mesh circuit to a three loop mesh circuit Why and why not
1.Calculate motor speed in revolutions per minute for an eight-pole,50Hz motor. Give the equation and identify its parts; show your math. 2.You need to detect finished products coming down an assembly line.
A random variable X is normally distributed with unknown mean u and unknown standard deviation sigma. Find u and sigma if it is known that the probability X is less than 10 is 0.6950 and the probability that exceeds 6 is 0.7939.
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