The voltage V and resistance R in a circuit are independent random variables with following densi...
Let X and Y denote independent random variables with respective probability density functions, f(x) = 2x, 0<x<1 (zero otherwise), and g(y) = 3y2, 0<y<1 (zero otherwise). Let U = min(X,Y), and V = max(X,Y). Find the joint pdf of U and V.
19. Using Thévenin's theorem, determine the effective voltage and the effective resistance of the circuit in Figure F with R5 removed R,-100 Ω R, 1000 Ω R, 99 Ω RS: 10 Ω V 10 V 4 FIGURE F Circuit for problems 19, 20, 21 and 22. 20. What is the current through R, of the circuit of Figure F?
In the circuit below, for R= 7412, find the equivalent resistance. (in (2) R R a 2R 3R 2R 2R bw Answer: In the circuit below, for R, = 480 S2, R2= 240 12, Rz= 480 N, RA= 240 s, and EMF=212 V. Find the current through R. (in mA). R RS w R2 R4 Answer: In the circuit below, for R = 480 N, R = 240 12, Rz= 480 N, RA= 240 N, and EMF=212 V. Find the...
Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8 0.2 Pi Find the distribution law and variance for the random variable V-3XY 5. There are 7 white balls and 3 red balls in a box. Balls are taken from the box without return at randomm until one white ball is taken. Construct the distribution law for the number of taken balls. 6. Let X be a continuous random variable...
If X and Y are independent and identically distributed uniform
random variables on (0,1) compute the joint density of
U = X+Y, V = X/(X+Y)
Part A,
The state space of (U,V) i.e. the domain D over which
fU,Y (u,v) is non-zero can be expressed as
(D = {(u,v)
R x R] 0 < h1(u,v) < 1, 0 < h2(u,v)
< 1} where x = h1 (u,v) and y = h2
(u,v)
Find h1(u,v) = (write a function in terms...
[6] (10 points) n the circuit below, the resistance value of the resistor is a random variable such that R N(1,0.5). Determine and expression for the expected value of the voltage u (Note, solve the differential equation for the current and thus voltage, and then apply the solution presented in class for the expected value of an exponential function of a random variable.). i(t) 4 10u(t) V 1 H
Let X and Y be two independent random variables with X =d R(0, 2) and Y =d exp(1). (a) Use the convolution formula to calculate the probability density function of W =X+Y. (b) Derive the probability density function of U = XY .
50012 V R 2. (15 points) The Zener diode in the circuit has a voltage Vzo = 8V. When the diode current is 10mA, the voltage across it is V = 8.25 V. The supply voltage is: Vpc = 15 V a) Find the small resistance rz of the diode. b) Replace the diode by its model, and find the Thevenin equivalent circuit to the left of the load RL c) Find the voltage V, across the load for two...
For the circuit below, determine,
a. The equivalent resistance.
b. The total current in the circuit.
c. The total power.
d. The current and voltage for R5 and R7
.
Take, V = 48 V, R1 = 25 Ω, R5 = 45 Ω, R6 = 40 Ω, and R7 = 38
Ω.
2. 10] For the circuit below, determine, a. The equivalent resistance b. The total current in the circuit. c. The total power d. The current and voltage for...
A R-L circuit consists of one resistance 7.3 Ohm and one unknown Inductance. A voltage v=11 sin(319 t) is applied to this circuit and measured current is 9.19 A. Find out the unknown Inductance in mH unit.