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EML 3523C Experimental Methods Summer 2021 Midterm Exam: 8:30-10:30 AM; Solution upload must be completed by 10:45 AM. Monday June 21* 2021 Open Textbook Only. Student Name & Signature: Rod C.go_ Choque UJ Problem No. 1(25 Points) Problem No. 2(20 Points) Problem No. 3(30 Points) Problem No. 4(25 Points) Total: Problem No, 1 (25 Points) For the periodic function shown below for its Fourier Series Representation: a) Write the general form of the function Y(t), in terms of a Fourier Series Expansion (5 points) b) Obtain all the A coefficients of the Series, i. e. with n= 0, 1, 2,3, ..., must include all the details (20 points) 72} fuav = uv wv = [vd .uRlir. Y(t) [Volt] 4) “beg te } oy a y CODE AL t Z leg Ge ak t By sar ) 2 br) 1 0 3 > Time [sec] Uagt-1 dz cosnple - 2 4 > doy vesohtelt th A2¥ MUsnyedt “oe A= =) Ui Wh AFF dy, ylade 24], Cat afase! Der tonede) a iQ yrode t-" “\) > i = (ee binmne Aff 3 svar A, i [_spt-wded sae) We ! = pet Jat -4eetos A PE Stet a) xt] J u A. [i443 -2 [2 Ay. 4-4 Tin ae Le mo An? a Les een peg et2 (Te s Fatt gadia tat) o peotinnst I dusy v: cornet 4) yt) = U4 We 2 Matt 15a tat) y, We & “EL ee use not t+ S36 cattle} b) Aa Fin i A, - “i a wom i} Wun edt et a Aa = P-2tt4cor tnt 7 ae | wos a.) - : 2 Se S329 Sane ara ton ti y 22 et By Tn As: a \ ast Problem No. 3 (30 Points) The density p of the air contained in a pressurized tank is to be calculated by measuring the pressure P and the temperature T inside the tank, Density of the air in the tank calculated is to be from the ideal gas law: P = pRT with constant value of R = 287 An for air. The temperature is measured from a readout device with the following specifications: Accuracy: 1% of reading & Resolution: 10 K. The pressure is to be measured with a pressure transducer and a voltmeter: Pressure Transducer FSO: 0-10 Volts, Sensitivity: 100(10)* Pascal/Volt (Pa/V), Linearity error: 5% of the reading, Hysteresis error: 0.5% FSO Voltmeter Accuracy: 1% of reading & Resolution: 0.1 millivolts. If the nominal temperature reading is 500 K and the nominal pressure is 500(10)* Pa, calculate the nominal density, and the uncertainty in density (Hint: When using the ideal gas law, the pressure must be in Pa and the temperature must be in K. The density will end up being in kg/m’). eg Ay Pa ar P Soo(lop Po *ern(5o Po=3.48Y ay Problem No. 4 (25 Points) Consider the OP amp circuit shown below with R = 100k and C = 10(10)-¢ F. 1. Find the complex transfer function 2 for the circuit in terms of frequency f. (Hz) 2. Compute the gain of 2 as a function of frequency f (Hz) i 3. Compute the gain in dB at 500 Hz 3R Cc Ny 26 Sv 
