Question

Hi could you please provide how to do problem 2?

Amsterdam University of Applied Sciences Problem 2(15 points) A Wheatstone bridge is used to determine the resistance of a strain gauge. The 3 resistances R of the Wheatstone bridge are equal: R 200 12. When the strain gauge is fully relaxed (nd strain present), its resistance Rs is equal to the other 3 resistances: Rs-R. The strain is given bywith AR, the change in resistance in the strain gauge. The input potential Van is given by Vin -5V. The output potential is indicated by -V. V. a) Show that the relation between output and input potential is given by Rs 1 when the strain gauge is fully relaxed. b) Determine the output potential At a certain moment the strain gauge is stretched. The output potential Vo of the Wheatstone bridge becomes 25 mV c) Calculate the resistance R, of the strain gauge d) Calculate the strain Problem 3 (15 points) A passive filter consists of two inductors L and two resistors R (see drawing). The values for R and L are respectively R-1002,L-200 mH. At the input, the following voltage is applied: yn = (10 + 0.5 cos(200mt) + 0.25 cos(2000t)) v. in 10-3f 1 a) Show that the transfer function can be written as: H Calculate the break frequency fe of this filter. b) c What kind of filter is this (low-pass, band-pass, high-pass, etc.)? Give arguments based on the transfer function given in a) d) Calculate the output voltage Vout The copyright of this exam is held by the AUAS (HvA) Facuity of Technology. Publication and distribution of this work without the express permission of the owner is prohibited.

Answer 1

ANS Problem 2: V> (1 In Applyfng Kel at Va node,

ir) Hence prov'ed (b) when strin gauge t relaed, RSR 1 V? 1 R+R 2x200: 오

3 Re-R V/ 01025 = Rs-200 2(Rs+200) ヲ -1010 こ 204-04-12 4*95 Rs . 204-04-10 2. Rs 204, of-, 200..- 4-04 ni 4a.qx 10