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1. a)The potentiometer extends between positions 1.9 cm and 54.6 cm on the scale. The voltage read by the DMM is 1.000 V and the current read the by DMM is 42mA. What is the resistance per unit length of the nichrome wire? (Does the DMM affect the resistance measurement?)
b)The accuracy of the multimeter is cited as ±0.7% ±1 digit on the voltage range and ±1% ±1 digit for the 300 mA range. What are the uncertainties of the voltage and current readings and the resultant uncertainty of the resistance of the wire?
2. a)Show that I(t) = (I_0)(e^(-t/RC)) solves the differential equation for the current through a discharging capacitor if I_0 = V_0/R, and t=0 is the time the discharging starts. Hint: Use Ohm's law, Kirchoff's laws and the identity de^(at)/dt = ae^(at)
b) Find the charge and voltage on the capacitor as a function of time.
A continuous time system, described by y(t) = 5 Cos (2*pi*20*t + pi/2), is sampled at a rate 320 Hz. (a) Write the mathematical expression that describes the discrete time (sampled) signal. (b) Calculate the value of the discrete signal for n = ..
design a circuit using an inverting amplifier that will produce a +- 10-V output signal corresponding to the bed position and deliver it to a 1k load. The output should be 0V at when the bed is in the center position
Two bars of silicon, one n-type and one p-type, are uniformly doped so that ND(bar1) = NA(bar2) = 3.7x1016 cm-3. a) Without calculations: which bar will exhibit the larger resistivity and why
build a circuit for a parking deck where a binary counter counts up when a car comes in and down when one leaves. There can only be a maximum of 40 cars in the parking deck before an LED turns on to notify the parking deck is full.
A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 1.60 m/s. The coefficient of kinetic friction between sled and ice is 0.110. Use energy considerations to find the distance the sled moves before it stop..
A single, common-anode, 7-segment LED is connected to the Arduino Connector J1 through current-limiting resistors. The diagram in Figure 1 shows the mapping of the pins of the connector to the pins of the 7-segment.
The small identical conducting spheres have charges of2.0 x 10^-9C and - 0.5 x10^-9 Coulomb respectively. When they are placed 4 cm apart. what is the force between them If they are brought into contact and then separated by 4 cm
an analog ammeter and the faceplate states an accuracy of +/- 1.5% of full scale value. if we take a measurement on the 10A scale and we measure 1.8A, what are the limits that the actual value will fall under.
Explain the process of processor development
A long cable with cylindrical cross-section has inner conductor of radius a and an outer conductor of inner radius b and outer radius c. The dielectric constant of the material between the conductors is 3.
The reactance in ohms of a capacitor at frequency of 500 Hz is 145 ohms; what is the value of the capacitor in uF. The reactance in ohms of a capacitor of 10 uF at a FREQUENCY of 200 Hz is
Assume that a receiver has a first amplifier stage with a 5KW input resistance, a gain of 300, an input audio signal of 20 mV, and an operating temperature of 27oC. When the amplifier is operating with a bandwidth first of 10 MHz,
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