Reference no: EM131674551
Question 1:
R = 100 Ω, L = 0.0049 H, and C = 5.2(10)-6 F in the circuit
![2480_Circuit.jpg](https://secure.expertsmind.com/CMSImages/2480_Circuit.jpg)
The input x(t) = vi(t) in the circuit is given by x(t) = 10 cos(2Π 500 t) + 10 cos (2Π 1000 t)
The output y(t) = vo(t) in the circuit is given by y(t) = K1 cos (2Π 500 t + θ1) + K2 cos (2Π 1000 t + θ2)
K1, K2, θ1, and θ2 are real-valued constants.
1. Find the numberical values for K1, K2, θ1, and θ2
2. Plot both the input x(t) and the output y(t) over the time range 0 ≤ t ≤ 2 ms
Question 2:
1. Calculate the rms voltage of a rectangular wave where VL = -0.5 volt, VH= 0.5 volt and tL = tH = 0.5 ms.
2. Calculate the rms voltage of a rectangular wave where VL = 0 volt, VH = 1 volt and tL = tH = 0.5 ms.
3. What is the duty cycle of the wave of question 2?
4. Calculate the rms voltage of a rectangular wave where VL = 0 volt, VH = 1 volt, and the duty cycle is 90%.
5. The rms voltage for a sine wave with zero offset is given by Vrms = 1/√2Vpeak. Calculate the rms voltage for a sine wave with a peak-to-peak voltage of 1 V.
6. All of the above waves have peak-to-peak voltages of 1V. Which would deliver the most power to a resistor?
Question 3:
a) Find the current going through the 8Ω resistor
![1107_Circuit1.jpg](https://secure.expertsmind.com/CMSImages/1107_Circuit1.jpg)
b) Find the current I.
![1647_Circuit2.jpg](https://secure.expertsmind.com/CMSImages/1647_Circuit2.jpg)