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img087 - PHY2054 Spring 2007 9 A 600 resistor a 4.0 uF...

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Unformatted text preview: PHY2054 Spring 2007 9. A 600 resistor, a 4.0 uF capacitor and a 0.60 H inductor are connected in series to a 240 Hz sinusoidal voltage source with Vmax = 160 V. What is the maximum current in amps 9319mm Wit? @ 0.22 (2) 0.18 (3) 0.68 (4) 2.67 (5) none of these This is a flimed oscillation situation, so the cument amplitude is given by imax = Vmu IZ , where Z =1lR2 +(X L ~XC )2 is the impedance, Vm = 160, R is the resistance, and the reactances are XL =27rjl and X0 =l/anC. Usingafiequencyoff= 240Hz, we obtain XL =9051'2 and X C = 1660, from which we obtain Z = 7419 and imx = 0.2211. 10. As shown in the figure, a beam of monochromatic light is incident at an angle 0, = 60° upon a transparent slab of glass (n = 1.47) with parallel sides, 2.5 cm thick. What is the angle of emergence 02 and displacement d of the beam (measured as shown along the bottom of the slab) when it emerges? @ 60°, 2.51 cm (2) 60°, 1.82 cm (3) 36°, 4.33 cm (4) 36°, 1.52 cm (5) none of these Since the beam enters and emerges from air, 92 = t9, = 60°. The refracted angle in the slab is found fi'om Snell ’3 law and is 36 °. The distance d can then be computed from 2.5 tan 60°- 2.5 tan 36° = 4.33 -—1.82 = 2.51 cm. .'. 'nternally reflected over a larger entry angle. Hie other choices hurt the ability of the fiber to conduct light. ...
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