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Although sums behave like integrals, because of the discrete nature of the sums one needs to be careful with the upper and lower limits more than in the integral. To illustrate this, consider the separation of an integral into two integrals and compare them with the separation of a sum into two sums. For the integral, we haveInt: tdt with a = 0, b= 1= int: tdt with a = 0, b = 0.5 + int: tdt with a = 0, b = 1Show this is true by computing the three integrals. Then consider the sumS = sum: n with 100, n = 0Find this sum and determine which of the following is equal to this sum:S1 = sum: n with 50, n = 0 + sum:n with 100, n = 50S2 = sum: n with 50, n=0 + sum:n with 100, n = 51
A 32 channel TDM system samples messages at 8000 samples per second, uses 2 bits for frame synchronization and 8 bits per sample. What must be the highest frequency in the message spectrum to guarantee perfect recovery of the original signal
Where x(nTs), found above, is the input and x (nTs) is the output of the quantizer. Let the quantization step be delta= 0.5. Plot the input-output characterization of the quantizer, and find the quantized output for each of the sample values
In a 120V compound generator, the resistances of the armature shunt and series windings are 0.06 ohm, 25 Ohm, and 0.04 Ohm respectively. The load current is 100A at 120V, find the induced EMF and the armature current of the generator.
1.5V battery. Design a voltage divider to provide a voltage that is approximately 1/3 of the battery voltage. Use resistances in the kilo ohms range. Redesign your divider so that the resistors are in Mega ohms range.
Semiconductor A has a bandgap of 2.5eV while semiconductor B has a bandgap of 1.5eV. What is the ratio of the intrinsic carrier concentrations in the two materials (niA/niB) at 300K
Suppose that the cost of electrical energy is $0.12 per kilowatt hour and that your electric bill for 30 days is $60 (power usage only, not including other charges or taxes) Assume that the power delivered is constant over the entire 30 days.
A circuit contains two devices that are connected in parallel. If the resistances of one of these devices is 12ohms and the resistance
A silicon (ni= 10^10 cm^-3) p-n junction diode has a maximum electric field of -10^6 V/cm and a depletion layer width of 1 um. The acceptor density in the p-type region is four times larger than the donor density in the n-type region.
Design a circuit using JK flip-flops that takes in a binary stream B0B1B2B3 and outputs 1 at a time t if the stream recieved thusfar (i.e. BoB1..Bt-1Bt), when read as an unsigned binary number, is divisible by 3.
Consider an ideal op-amp in inverting amplifier configuration with feedback impedance Rf=6ohms and an input impedance consisting of a series RL: Ri=6ohms and Li=5H. Let h(t) be the impulse response of the overall amplifer.
Sketching the Dependence of l versus h on Cartesian Axes, The distance l from a point at a height h above the Earth's surface to the horizon can be approximated using Pythagoras theorem by the expression:
B.) Write an equation for v(t) for t > 0 C.) Write an equation for the power absorbed by resistor for t >= 0 D.) Find how much energy the resistor disspates for t >= 0 E.) How much energy is stored in capacitor at t=0
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