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The voltage and current at the terminals of the circuit element are zero for t<0 and t>40s. in the interval between 0 and 40 s the expressions are v=t(1-.025t) V, 0i=4-.2t A, 0 a.)at what inst
An open-circuited 50ohm microstrip transmission line is used in a microwave amplifier circuit to provide a capacitance of 3.2 pF at 2.3 GHz. (a) Find the appropriate electrical length of the line.
1. If the power gain of the amplifier is +42dB, what is the input power required to obtain the full output from the amplifier 2.If the voltage gain of the amplifier is 60dB, what is the required inpu
Life Insurance: On average about 9 out of 1,000 people die prematurely in the United States each year. (a) If a life insurance company wants to sell $100,000 life insurance policies to the public, h
Determine the range of stable gain for the following system using the Routh test. s4 + 3s3 + 12s2 + (K - 16)s + K = 0
For a system, we learn the following three properties: (1) Memoryless, (2) Time-variant, (3) Linear, and (4) Casual. Determine which of these properties hold and which do not hold for each of the fo
In an AC-DC power adapter, one of the following two conversions is used: half-wave recti?er and full-wave recti?er. The half wave recti?er can be described mathematically as a system with input x(t)
If Resistor 1 is 5 ohms is connected in parallel with another unknown resister 2. What is the unkown resistor value that satisfy the maximum power transfer condition. why the answer is 5ohms, that R
Develop a control system to fill a container with water after it is emptied through a stopcock at the bottom. The system must automatically shut off the water when the container is filled.
Which elements in the circuit are in parallel. what is the relationship between Va and Vb. Given that Va= 12V and V= 7V, determine the values of Vb and Vd.
contrast the electron and hole drift velocities through a 10-µm layer of intrinsic silicon across which a voltage of 5 V is imposed. Let µn = 1350 cm²/V·s and µp = 480
Find the current that flows in a silicon bar of 10-µm length having a 5-µm x 4-µm cross section and having free electron and hole densities of 105 / cm³ and 1015 / cm³, r
A young designer, aiming to develop intuition concerning conducting paths within an integrated circuit, calculate the end-to-end resistance of a connecting bar 10 μm long, 3 μm wide, and 1 &mu
Find values of the intrinsic carrier concentration ni for silicon at -70, 0, 20, 100, and 125 °C. At each temperature, what fraction of the atoms is ionized. Recall that a silicon crystal has ap
A point source of light is 12 cm below the surface of a large body of water (n=1.33 for water). What is the radius of the largest circle on the water surface through which the light can emerge
a) Find the value of the voltage source "E"that is required to provide a 10V across the 10kΩ resistor. What are the values of [V10k/E] and [V3.3k/V10k] b) Dtermine the amount of power supplied
A wave is specified by y = 8cos2π(2t-0.8z), where y is expressed in micrometers and the propagation constant is given in μm-1. Find (a) the amplitude, (b) the wavelength, (c) the angular frequ
For the following differential equation, determine the Laplace transform, and put into transfer function form (note, one pole is at s = -3): (d^3 x(t)/dt^3) + (6 d x(t)/dt^2) +(11 dx(t)/dt) + 6x(t)
Design a 7.5V zener regulator circuit using a 7.5V zener specified at 12mA. The zener has an incremental resistance of r and a knee current of 0.5mA. The regulator operates from a 10V supply and has
A weather forecaster explains that there is 50% chance of rain on Saturday and a 50% chance of rain on Sunday. So what is the probability it will rain during the weekend
The vector field E=(B/p)ap where B is a constant,is translated such that it originates at the line ,x=2,y=0.Write the translated form of E in rectangular components
A vector field is specified as G=24xyax +12(x^2+2)ay+18z^2az.Given two points ,P(1,2,-1) and Q(-2,1,3),find :(a) G at P ;(b) a unit vector in the direction of G at Q ;(c)a unit vector directed from
3)what is its frequency content 4) The 1D rect function has a width of 1; i.e. has a non-zero value between +1/2 and -1/2. What is the width of the delta function 5) What is the area of the delta fu