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An empty capacitor has a capacitance of 6.44 µF and is connected to a 12-V battery. A dielectric material (X = 4.5) is inserted between the plates of this capacitor. What is the magnitude of t
Midway between the plates, a proton and an electron are released. The electron is released from rest. The proton is projected perpendicularly toward the negative plate with an initial speed. The pro
An extension cord is used with an electric weed trimmer that has a resistance of 13.7 O. The extension cord is made of copper (resistivity 1.72 x 10-8 ohm m) wire that has a cross-sectional area of
A wire has a resistance of 29.7 . It is melted down, and from the same volume of metal a new wire is made that is 4 times longer than the original wire. What is the resistance of the new wire
An amplifier with a voltage gain of +40 dB, an input resistance of 10 kO, and an output resistance of 1 kO is used to drive a 1-kO load. What is the value of Avo Find the value of power gain in dB
A 10-mV signal source having an internal resistance of 200 kO is connected to an amplifier for which the input resistance is 20 kO, the open-circuit voltage gain is 2000 V/V, and the output re
(a) Write a function that accepts as input arguments a vector x and two scalars m and s and plots the function g(x) = [1/(s*sqrt(2*pi))]*exp[(1/2)*((x-m)/s))^2] (b) Using the above function, plot y(x)
A cube with an edge of length 2 mm is charged to -1.2 C. Find: a)ρv , if the charge is distributed uniformly over its volume ; b) ρs , if the charge is distributed uniformly on its surface; c)
a The cosmic background radiation has a temperature of 2.725 °K. At what wavelength is this radiation most intense b If the most intense radiation of a blackbody occurs at 1000 nm, what is its tem
1. Two resistors R1 = 5.6 kΩ and R2 = 3.3 kΩ are to be connected in series. Calculate the series equivalent resistance Rs. 2. The same two resistors are reconnected in parallel. Calculate
(a) Generate a row vector x of length 40 containing the integers 0, 1, 2, ...39. (b) Generate a row vector y containing 40 values, each of whom is a random real number in the interval [4:5; 7:5]. (c)
Supposed that the terminals are labeled a,b. V(ab) = -15 V, how much energy is exchanged when a positive charge of a 4 C moves through the device from a to b. Is the energy delivered or taken from t
A conducting bar of length l rotates about one end in a uniform magnetic field at a frequency of ω rad/sec. Determine the potential difference between the two ends using (a) Faraday's law of i
Express the field D = ( x + y ) ( x + y ) a)in cylindrical components and cylindrical variables b) Evaluate D at the point where = 2 , = 0.2 , and z = 5, expressing the result in cylindrical and recta
The three vertices of a triangle are located at A ( -1, 2, 5) , B( -4 , -2 , -3), and C( 1 , 3 , -2) . find a unit vector that is directed from the midpoint of the side AB to the midpoint of the side
The charge of an electron is 1.60 x 10-19 C. A current of 2 A flows in a wire caried by electrons. How many electrons pass through a cross section of the wire each second
What is the minimum bandwidth needed to achieve a data rate of 8 bits/ second if the signal is transmitted using NRZ, MLT-3 and Manchesster encoding
the voltage across and current through a certain device are given v(t)= 5cos(4πt), i(t)= 0.1cos(4πt) a) the instantanous power p(t) at t=0 andt=0.25s b) the average power Pav, define as the aver
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)