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Question 43 2 pts The rms voltage across and the rms current through a single circuit element connected to an ac generator are, respectively, Vrms = 131 volts and Ims = 37 A. The angular frequency of the generator id w = 78. It is observed that the current leads the voltage by 90°. The element that is connected to the ac generator is either a capacitor, an inductor, or a resistor (only one of the three). What is the resistance, or the capacitance (in uF ), or the inductance in mH), of the element in the circuit (which ever it is)? Please round your answer to the nearest whole number (integer). Helpful equations that you may need (you need only one of the equations): V=IR, V=IXL V=1Xc 1 XL =WL and XC Cنين

Answer 1

90 comt Question 43 Girven that cursent in AC cirwit load Voltage by 9oo. it is porsible onry when only capontor is sorerent in bece caure in compactive AC circuit current loody voltage by far go AC circuit pharor Diagron I Woods Irms Vams lao Vvc=1&c only capacitan where Vrons = 131roet, luns = 37A Irons - Vorms LOC e78 ac Vans Irms xw 131 37 X 78 farad = 0.0453915 Farad C-45391.5 uf IC [C C= 45392 U FI

Question 43 No. of turns in coil, N = 983 Area of coil, A=0.195 m² angle between magnene field and area bester magnetic field B=0.042 €3 to lot2 +0.499€ t time't' furx parning the through core aut any &=NB A Cos o 98310.042+3+0.10+2+0.499+) (0.115) 0860 $-191.685(0.04273 +0.10+2 +0.499+) (1) p= 95.8425 (0.042+3 +0.10+²+0.4998 Tm² By Faraday & long's low induced Emf in Lolie db is E = dt =-d [95.8425 (0.042+²40.10 7²4 0.44) dt =-9508425 d (0042 +² +0.10t +0.497) E =-95.8425 (0.126++0.20 t +0.499) at t = 3 see E = -95.8925(0.126 (3)² +0.2013) + 0.499) Next Page

E = -95.8425 0.126 (5) +0.20 (3) +0.499) = -95.8425(1.134 + 0.60 +0.491) = -95.8425 (2.233) | E- - 214.0 Ang 17.8 m 2 Queshon 3 Radius of curvature of concave minion R = 17.8m So facal length of concove mirror f = R = f = - 12 As -- f = -8.gm where 6=-3, - ¿=-6p mirron Relation Lel f P (-60) magnification M= M=6 By 1/4 tetor 1 + - 819 P 2 1 sig .. () -- Р 8.9 - P= - 8.9 m = p =- 7.4m So She stand 7.4m from mirror