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A hemispherical surface defined by a radius r = 5 [m] and z>0 has a surface charge density of RHOs = 2(sin theta)(cos^2 phi) [C/m^2]. Find the total charge on the surface.
a). Find the resistance of the aluminum wire 1 m long and 1 mm in diameter. For aluminum, resistivity is 2.8e-6 ohm-cm. b). What is the voltage drop across the wire for a current of 1 A The strength o
isible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.58 m from the grating. In the first-order spectrum
An amplifier with a voltage gain of +40 dB, an input resistance of 10 k ohms and an output resistance of 1 kohm is used to drive a 1 k ohms load. what is the value of Avo. Find the value of the powe
A manufacturer specification sheet lists the transfer function of a pressure sensor as 45±5% mV/kPa with a time constant of 4±10%. A highly accurate test system applies a step change o
A 50-cm-long copper wire with a cross-sectional area 1.2286x10^-10 m^2 is used to connect a voltage source and a device. What is the maximum voltage if the current is required to be not bigger than
In use its arms are stretched to three times their original length before release. Assume the the modulus of rubber is 10-3 GPa and that it does not change when the rubber is stretched. How much ene
An LED with a rated range of Vf = 1.4 V to 1.8 V at If = 20 mA is connected to a driver circuit with a peak output of 14 V. What value of current. limiting resistor would be needed to limit the LED
Electrostatic scaling: prove that electrostatic force between the two plates of a charged capacitor is a surface force (~L2); How about the stored energy under constant voltage on the capacitor (~L1
how long will it take to transmit the three ASCII code to characters $14 in 8 bit parallel if the clock frequency is 8 MHz? Repeat for $78.18 at 4.17 MHz
show that the resistivity of intrinsic Ge at 300k is 44.44 ohm-cm. If donor impurity is added to an extent of 1 atom per 10^8 Ge atoms, prove that the resistivity of the Ge sample drops to 4.42 ohm-
Consider an open-ended cylindrical tube (infinitesimally thin walls) of radius a and total length 2h. A total charge Q is uniformly distributed over the surface of the tube. Find an expression for t
A particular inverting amplifier with nominal gain of -100 V/V uses an imperfect op amp in conjunction with 100-k-ohm and 10-M-ohm resistors. The output voltage is found to be +9.31 V when measured wi
When communicating with a geostationery satellite from earth,the distance between transmitter and receiver is approximately 35000km.assume that the friis law for free space loss is applicable and t
A switch with a single-bit output chooses which of the two 8-bit streams will be passed on a display's single 8-bit input. Create a circuit to connect the two video sources, the switch, and the disp
A constant current, I, is applied to charge a parallel plate capacitor of area A and separation between plates, d. What is the E field strength inside the capacitor as a function of time What is the d
Make a sketch of the band diagram for an n-type semiconductor and a p-type semiconductor doped with phosphorus and boron at 5*10^15/cm^3 respectively. Label all the features of your drawing, as well
Assuming that the energy gap does not change with temperature, calculate the intrinsic electron concentration at the two temperatures. Look up the data for silicon that you need. Give your answer in
A silicon sample is 2.5 mm in length, 1.2 mm in width and 0.7 mm high. It has been doped with Boron with a doping density of 8.5 x 1016 cm-3. Assume the temperature is 300°K.
The electron distribution in the conduction band peaks at energies close to the conduction band edge. Using the Boltzmann approximation, find the energy in the conduction band (as a function of temp
An opamp based integrator is measured at 1KHz to have a voltage gain of -100 V/V. At what frequency is its gain reduced to -1V/V. And, what is the integrator time constant
Design a full wave unregulated dc power supply having an input of 220 V rms 60 Hz and an output voltage maximum of 19.5 V and a minimum of 15 V. This power supply will be needed to provide power to
Find the largest possible number of independant vectors v1=column[1 -1 0 0] v2= column[1 0 -1 0] v3=column[ 1 0 0 -1] v4= column[ 0 1 -1 0] v5= column[0 1 0 -1] v6= coolumn[ 0 0 1 -1] note all are c
A balanced Y-connected load of 100 + j50 Ohm is connected to a balanced three-phase source. If the line current is 42 A and the source supplies 12kw, determine (a) the line voltage; (b) the phase vo
Find the intrinsic gain of an NMOS Transistor fabricated in a process for which kn'=200 uA/V^2 and V'A =20 V um. The transistor has a 0.5-um channel length and is operated at Vov=0.25 V. If a 2-mA/V