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1. (10 pts) Consider the circuit depicted in the LC following figure. If v, (t) = 50 cos(1000t) V determine the instantaneous power p(c) dissipated 6 mF by the 100 Q resistor in the following circuit. Find the power being dissipated by the resistor at t = 2 ms. 1000 15 ml = p(t) = (8 pts) P(2 ms) = (2 pts) 2. (10 pts) A voltage source, v, = 100u(t) V, a & = 6 ml inductor, and a R = 15 Q resistor form a series circuit. Find the power being absorbed by the inductor and by the resistor at t = 1 ms, and determine the power being delivered by the voltage source att = 1 ms. mm PR(1 ms) = (3 pts) 6 mH PL (1 ms) = (3 pts) 15 0 Ps(1 ms) = (4 pts) 3. (10 pts) A current source of is = 5 cos 100t A, a 5 Q resistor, 15 Q resistor and a 5 mF capacitor are in parallel. Assume steady-state conditions exist. Find the instantaneous power being absorbed or 50 15 0 5 mF delivered by the (a) 5 Q resistor; (b) 15 Q resistor; (c) 5 mF capacitor; (d) sinusoidal source. (a) PER(t) = (2 pts) (b) Pisa (t) = (2 pts) (c) pc(t) = (3 pts) (d) ps(t) = (3 pts) 4. (10 pts) Given the phasor voltage V = 100 2120* V across an impedance Z = 20245 0, obtain an expression for the instantaneous power, and compute the average power if w = 120n rad/s. P() = (5 pts) Paverage= (5 pts)Answer! The Following Questions 1. Use MATLAB to calculate the following quantities: (a) 5H (b) 55+37 (c) 91.25 2. If the volume of a cylinder of height h and radius r is given by V = rrh, use MATLAB to find the volume enclosed by a cylinder that is 12 cm high with a diameter of 4 cm. 3. Use MATLAB to compute the sin of x/3 expressed as a rational number. 4. Create a MATLAB m file to display the results of sin (7/4), sin (#/3), sin (x/2) as rational numbers. 5. Write a MATLAB routine to ask the user for the radius and height of a cylinder and return the volume. 6. Use MATLAB to enter 7v2-5v60 +5:8 as a string, then find the numerical value. 7. Compute 3:01, both as an approximate floating point number and as an exact integer (written in usual decimal notation). 8. Compute: (a) 1111 -345. (b) eld and 382801# to 15 digits each. Which is bigger? (c) the fractions 2709/1024, 10583/4000, and 2024/765. Which of these is the best approximation to v77 9. Compute to 15 digits: (a) cosh (0,1). (b) In(2). (Hint: The natural logarithm in MATLAB is called log, not In.) (c) arctan (1/2). (Hint: The inverse tangent function in MATLAB is called atan, not arctan.) 10. Define the variable x as x = 2.34, then evaluate: (a) 2x - 6x + 14.8x2 +9.1 (b) V14+x Xi am eonmes on how to calculate The average in maah Dude