Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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The joint probability density function of two discrete random variables X and
Y is given by p(x, y)=c(2x+y), where x and y can assume all integers such that 0≤
x≤2, 0≤ y ≤ 3, and p (x, y)= 0 otherwise. a) Find the value of the constant c. (c)
Find P(X≥1, Y≤2). (b) Find P(X=2, Y= 1).
A wattmeter is connected with the positive lead on phase "a" of a three-phase system. The negative lead
is connected to phase "b". A separate wattmeter has the positive lead connected to phase "c". The
negative lead of this wattmeter is connected also to phase "b". If the input voltage is 208 volts line-to-
line, the phase sequence is "abc" and the load is 1200 ohm resistors connected in "Y", what is the
expected reading of each of the wattmeters? (Hint: draw a phasor diagram)
1- Write the mesh equation for the circuit below. Solve the equations using Crame
method (matrix and determinant), and find the current of resistor 4 ohm.
6 A
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10 Ω
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6Ω
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12 V
+
402
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12 Ω
2- Write the nodal equations for the circuit below. You do not need to solve the
equation just write the matrix equation.
R3
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8Ω
R₁ 201
5 A
12
3A R₂40
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