Problem 2 In this problem we study the homogeneous linear 2nd order equation

Task 4.4 Discuss the principles of operation of a DC electric motor outlining modern applications. A) Describe step by step how a D.C motor works, include diagrams. B) Identify three different types of motor, give an application, and at least 4 characteristics that make it suitable for its job.

Task 4.3 - Determine electrical parameters in series and parallel electrical networks A) A battery with a terminal voltage of 9 V is connected to a circuit consisting of four 2002 and one 100 resistors all in series. Assume the battery has negligible internal resistance. a) Calculate the equivalent resistance of the circuit. b) Calculate the current through each resistor. c) Calculate the potential drop across each resistor. d) Determine the total power dissipated by the resistors and the power supplied by the battery. B) Three resistors R₁=1.000, R₂=2.000, and R3-2.000, are connected in parallel. The parallel connection is attached to a v=3.00v voltage source. a) What is the equivalent resistance? b) Find the current supplied by the source to the parallel circuit. c) Calculate the currents in each resistor and show that these add together to equal the current output of the source. d) Calculate the power dissipated by each resistor. e) Find the power output of the source and show that it equals the total power dissipated by the resistors.

Task 4.2- Describe the principles of operation of electrical cells and review the applications in the modern world A) Write down 4 advantages and 4 disadvantages of secondary cells compared to primary cells. B) Write down three different types of fuel cell, for each one include a brief description of the process involved and where it is used

Task 4.1 - Calculate basic electrical parameters in D.C. circuits using electrical circuit theory A) What is the current when a charge of: a) 3.0C passes through a lamp in 20s? b) 3600C passes a point in 3.0 minutes? c) 0.2μC flows through a diode in 2.0ms? B) A charge of 4000μC passes each point in a wire in 50s. Calculate: a) The charge in coulombs b) The current in the wire c) The number of electrons per second passing each point in the wire (Electron charge = 1.6 x 10-1°C) C) a) What is the pd across a wire of resistance 8.00 when there is a current of 1.5A through it? b) What is the resistance of a wire if a p.d of 6.0V drives a current of 0.25A through it? c) A p.d of 3.0V is applied across a 150 resistor, what is the current? D) a) What is the power of a microwave oven that takes a current of 7.5A from a 230V supply? b) A small 48W electric heater is connected to a 12 V supply, calculate the current. c) When it is hot an electric bar fire has a resistance of 500. What is the power rating? E) A lamp has a p.d of 12V across it. Calculate how much electrical energy is transferred when a) A charge of 400C passes through it. b) A current of 2.5A passes through it for 30s. F) A vacuum cleaner has a rating of 460W on the 230V mains, what fuse should be fitted?

Given the 8-bit signed binary number in sign-magnitude form 10110010. Answer the questions by showing your step by step workout. 1. Find the equivalent signed decimal number. 2. Find the equivalent signed binary number in 2's complement form.

The Thyrist or shown in the circuit below is triggered on by a gate current of 1.8 mA and a forward break over voltage of 170 V corresponding to this gate current. The applied AC voltage is 240 V (Peak), load resistance Lp is 100 ohms and holding current is zero. Determine: (a) firing angle(b) conduction angle(c) average load power.

The optical power versus current relationship for a LED is given byP- 0.02 x i. The maximum allowed power is 10 mW. The LED has a de bias corrent and a 1-MHz ac current applied. (a) Sketch the power-current curve(this is the diode's transfer characteristic). (b) ł the peak signal power is 2 m Wand the peak total power is 10 mW,compute the total peak current,the de bias current, the average optical power, and the modulation index (peak signal power)/(average 6-power). (c) Repeat if the modulation index is now 100% (and the peak signal power is no longer 2 mW).i (d) Let the de current be 50 mA and the peak ac current be 75 mA. Plot the output power versus time for two cycles of the ac signal.

(4) The figure below shows a four-lead bridge circuit commonly found in oil & gas field instruments; R.is the resistance of the leads or cables connecting the sensor to the bridge circuit. Show that ETh = Vs(Ro/R3)aT, i.e., the bridge output voltage is unaffected by changes in Rc.

3. Whenever possible, the components are labeled from __________to_______and from _____to______on a ladder diagram. a. top b. bottom c. left d. right