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Q1.Two alternating currents i1 and i2 flow in a circuit node. The output current i is given by i1 + i2.
If i1 = 5sin( 50t + /3 ) and i2 = 6cos50t
Calculate the amplitude of i and the first time that it occurs.
Q2. The instantaneous power p, in an electric circuit, is given by p = iv, where v is voltage and i is current.
Calculate the maximum value of power in the circuit if:
v = 0.02 sin(100t)volts, and i = 0.6 sin(100t + /4)amps
Also calculate the first time that the power reaches a maximum value.
A wire has a resistance of 29.7-ohm . 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 AM signal is written as xc(t) = Ac (1+ µx(t))cos(2pi*fc*t) where fc is the carrier frequency, Ac is the carrier amplitude, µ is the modulation index, and x(t) is the baseband message signal. We assume that x(t) has absolute bandwidth W
An AM modulator operates with the message signal: m(t) = 9 cos(20πt) - 8 cos(60πt). The unmodulated carrier is given by 110 cos(200πt), and the system operates with an index of 1/2. a. Write the equation for mn(t), the normalized signal with a mini..
a. What dopant should the engineer use to obtain the largest fraction of the boule with a doping concentration between 2 - 6 x 1014 cm-3 b. What is the range in resistivity values for this doping variation c. What is the weights of the dopant and Si..
The problem should be because Martians were using a non-decimal number system. Therefore, "50" is not fifty, but "50" in base b (50b=5×b+0×1=5b). The explorers reflected on the way in which Earth's number system developed.
Two circular poles of the electromagnet, facing each other, both have a radius of R=0.1 m. The electromagnet is suddenly disconnected from its power source, and magnetic field decreases at a rate of 2.0 x 104 T/s.
Major political parties.
The simple inexpensive hydro turbo-generator (turbine mated with electric generator) that you intend to buy has a working efficiency of 60%. Answer the following (show your work).
64-bit ripple-carry adder and a 64-bit carrylookahead adder with 4-bit blocks. Use only two-input gates. Each two-input gate is 15μm2, has a 50 ps delay, and has 20 pF of total gate capacitance. You may assume that the static power is negligible.
a) Draw the state diagram b) Draw the schematic for the logic to implement this circuit using Inverters, AND gates, OR gates and D flip flops. Use the reverse side and additional sheets if needed.
A low pass filter has a cut-off frequency of 8 kHz and a high pass filter has a cut-off frequency of 5 kHz. These two circuits are connected back to back in cascade to form an input-output system. How does this combination work, band pass or band ..
There is a damping coefficient of 18 lbs(ft./s). A weight of 96.6 pounds is attached to the spring, moved to 5 ft. above the equilibrium point and released with an initial velocity of 45 ft./s. Do not forget to convert the weigh to mass (slugs) us..
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