Reference no: EM13371385

1. Find the currents I1 and I2 for the following circuit, given the values shown in the table below. The operating frequency is f = 90Hz.

Clear your Matlab workspace before attempting this question.

Your answer should consist of a Matlab workspace file containing the following variables

2. Find the currents I1, I2, I3 and I4 for the following circuit, given the values shown in the table below. The operating frequency is f = 80Hz.

3. Find the currents I1, I2 and I3 and the voltage VS for the following circuit, given the values shown in the table below. The operating frequency is f = 100Hz.

4. An experiment finds that the power consumption of a particular electronic device can be represented by the following equation:

p(t) = e^1-sint

where P is the power consumption (in watts) at time t (in seconds).

In order to design a product incorporating this device, a product design engineer needs to know the energy E consumed by the device over the period t = a to t = b, given by:

E = _a∫^b p(t)dt

where a and b are the last two digits of your registration number in ascending order. If a = b, then set b = a + 10. For example:

(a) Record the values of a and b in the answer sheet.

(b) Using Matlab, plot a graph of power against time over the interval t = a to t = b using 21 points, and place it in the answer sheet.

(c) Using the rectangular rule with 20 strips, calculate an approximation to the energy consumed over the period t = a to t = b. Give your answer to four significant figures.

(d) Using the trapezoidal rule with 20 strips, calculate an approximation to the energy consumed over the period t = a to t = b. Give your answer to four significant figures.

(e) Using Simpson's rule with 20 strips, calculate an approximation to the energy consumed over the period t = a to t = b. Give your answer to four significant figures.