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Determine a real root accurate to four decimal places of the following equation by using (i) Bisection Method

xΒ³+3XΒ²-1=0 interval (-3, -2)


Calculate and plot the percent bandwidth for a 𝑁𝑁=1-section binomial matching transformer versus 𝑍𝑍𝐿𝐿𝑍𝑍0τ€΅—=1.5 to 6 for π›€π›€π‘šπ‘š=0.2. (Show all calculated values and plot labels)


Consider a dc machine whose circuit model is drawn below. It is a separately excited



machine as its field coil (winding) is excited from a voltage source independent of the



armature circuit. A 25 kW, 250 V dc machine is separately excited. The field current



is held constant at a speed of 3000 rpm. The open circuit voltage is 250 V. Calculate



the terminal power, electromagnetic power and torque at terminal voltage of 255 V



and 248 V. The armature resistance is 0.05 W. Speed is held constant at 3000 rpm.




A digital computer has a common bus system for 4 registers (A, B, C, D) of 8 bits each.

a) Construct the common bus system with multiplexers, showing their inputs and their selection variables (So, S1).

b) Draw the diagram of the bus system, but use three-state buffers and a decoder



what interest rate compounded monthly is equivalent to an interest rate of 9 compounded quarterly?


Simplify the following Boolean functions to find the simplified SOP and POS terms using k-map:

F (A, B, C, D) = βˆ‘ (2, 3, 6, 7, 12, 13, 14)



Simplify the following Boolean function F, together with the don’t-care conditions d (K-Map):

F(A, B, C, D) = βˆ‘ (5, 6, 7, 12, 14, 15)

D(A, B, C, D)= βˆ‘ (3, 9, 11, 15)



A motor car, of total mass 1400kg, running in top gear at 55km/h, passes on to a rising of 1 in



20 at that speed. The road and other resistances may be taken as constant at 270N/t. With



conditions unchanged, the speed falls uniformly to 40km/h in a distance of 360m. An



intermediate gear is then engaged for which the speed ratio between the engine and the road



wheels is 9:1 and the transmission efficiency is 85%. The engine is then developing a torque



of 85Nm. Determine: (a) The tractive efforts before and after the gear change, given that the



road wheels are 750mm in diameter, (b) The time between the start of retardation and the



recovery of the original speed of 55km/h, and (c) The powers being developed by the engine



when the car is retarding and accelerating through 50km/h, given that the transmission



efficiency in top gear is 94%.

(b) the current flowing in each of the four resistors . R1=15ohms, R2=10ohms, R3=38ohms and R4=Rx.

The current i (in amps) t seconds after closing the switch in the circuit shown is given by: i(t) = V/R(1-e-(R/L)t) Consider the case where V = 120 volts, R = 120 Ohms and L = 0. 1 henry. Find the time tm required for the current to reach 99% of its final value, then use linspace to create a vector t having 10 elements with the first element 0 and maximum value tm. Calculate the current i for each value of t from part (a). The length |u| (magnitude) of a vector u = given by |u| = x2+y2+z2. Given the vector u = 23. 5i - 17j + 6k, determine its length two ways:


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