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We have v1(t)=10cos(wt+30degrees). The current i1(t) has an rms value of 5A and leads v1(t) by 20s. (The current and the voltage have the same frequency) Draw a phasor diagram showing the phasors. Write an expression for i1(t) of the form Im*cos(wt+theta).
A coaxial air line has an inner conductor diameter of 2mm and the inner diameter of the outer conductor is 4.6mm. A voltage of 1 V is applied to the inner conductor. Determine the surface charge densities on the inner conductor
For the discrete signals defined as the following: x[0]=4, x[1]=1, x[3]=-1, x[n]=0 for all other integers n. v[0]=1, v[1]=-2, v[2]=3, v[3]=-4, v[n]=0 for all other integers n. Compute the convolution x[n]*v[n] for n
create a graph showing the relationship of an ideal gas between pressure (P) and temperature (T). The ideal gas law relates the pressure, volume, amount, and temperature of an ideal gas using the relationship: PV = nRT.
A fiber optic audio system consists of an input, a playback head that has a transfer function of .7, an amplifier with a gain of 6 and a speaker system with a transfer function of .4. Find the output for an input of 0.08V
Measurements show that for a particular arrangement of the equipment and at a particular amplifier setting, the system will howl if 1% of the output power is fed back to the microphone. Estimate the power gain of the P.A. amplifier in decibels.
A temperature sensor has a static transfer function of 0.15mV/degrees C and a time constant of 3.3 s. If a step change of 22 degress C to 50 degress C is applied at t = 0, find the output voltages at 0.5s, 2.0s, 3.3 s, and 9s.
Delta load Assume that the load is delta connected. Each phase has a series RL load with R = 5 ohms and L = 20 mH. Plot the phase to phase voltage (Vab) versus time for one cycle. Hint: Vab = Va - Vb
The river estuary is tidal causing the surface level of the water to rise and fall. At certain times of day, reflections from the water surface cause deep fading of the received signal.
Consider a digital filter with frequency response: H(f)=11+f Assuming the sampling frequency is 1500Hz what is the frequency attenuation of a signal passing through this filter at 280Hz
1. Determine Laplace transform of (2-2e^-4t)u(t) 2. Determine if x(t) = 9cos(2t)+4sin(pi t) is periodic; if periodic, calculate the period. 3. Compute the inverse Laplace transform of X(s)= (s+2)/(s^2+ 7s + 12).
constructed using standard value resistors a. Without making a single calculation, which resistive element will have the most voltage across it Which will have the least b. Which resistor will have the most impact on the total resistance.
Consider the system with impulse response \(h(t)=e^{-3t}u(t-1)\) 1. Find the transfer function. 2. Find the Laplace transform of the output when \(x(t)=sin(t)u(t)\)
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