Dr. Bullock FORM -A Physical Principles II –Exam 3 NAME: Each question is worth 5 points distribute each point on one line of the scantron. Question 1-5 In a pure resistive circuit, the phase angle between current and voltage is A. 0 B. π/2 radians C. -π/2 radians D. π radians E. 3π/4 radians Question 6-10 An electric circuit consists of a resistor connected across the terminals of an ac generator. How does the power dissipated in the resistor change as the frequency in the generator decreases? A. It decreases B. It increases C. It does not change D. It increases or decreases depending on the sign of the phase angle E. Need more information Question 11-15 If you triple the rms voltage in an ac circuit, what happens to the maximum voltage? A. It increases by a factor of 3 B. It decreases by a factor of 3 C. It decreases by a factor of 3 D. It increases by a factor of 3 E. It increases by a factor of 9 Question 16-20 An LC circuit consists of a 1-µF capacitor and a 4mH inductor. Its oscillation frequency is approximately: A. 0.025 Hz B. 25 Hz C. 60 Hz D. 2500 Hz E. 15, 800 Hz Dr. Bullock FORM -A Physical Principles II –Exam 3 Question 21-25 The above figure shows a simple ac circuit consisting of an inductor connected across the terminals of an ac generator. If the frequency of the ac generator is decreased by a factor of four, what will happen to the inductive reactance on the inductor? A. It decreases by a factor of eight B. It decreases by a factor of four C. It increases by a factor of two D. It increases by a factor of four E. It increases by a factor of eight Question 26-30 What is the phase angle between the voltages of the inductor and capacitor in a RLC series circuit? A. zero B. 45° C. 90° D. 180° E. 270° Question 31-35 Resonance in a series RLC circuit occurs when A. XL is greater than XC B. XC is greater than XL C. (XL - XC) is equal to R2 D. (XL - XC)2 is equal to R2 E. XC equals XL Dr. Bullock FORM -A Physical Principles II –Exam 3 Question 36-40 A series RLC circuit has a 100-Ω resistor, 2.00-mH inductor and a 4.00-μF capacitor connected across a 120-V rms ac source at (1000/π) Hz. What is the power dissipated by the circuit? A. 184 W B. 18.6 W C. 58.4 W D. 91.8 W E. 180 W Question 41-45 Consider: radio waves (r), visible light (v), infrared light (i), x-rays (x), and ultraviolet light (u). In order of increasing frequency, they are: A. r, v, i, x, u B. r, i, v, u, x C. i, r, v, u, x D. i, v, r, u, x E. r, i, v, x, u Question 46-50 Which of the following is NOT true for electromagnetic waves? A. they consist of changing electric and magnetic fields B. they travel at different speeds in vacuum, depending on their frequency C. they transport energy D. they transport momentum E. they can be reflected Question 51-55 In an electromagnetic wave the E and B fields are oriented such that A. they are parallel to one another and perpendicular to the direction of wave propagation B. they are parallel to one another and parallel to the direction of wave propagation C. they are perpendicular to one another and perpendicular to the direction of wave propagation D. they are perpendicular to one another and parallel to the direction of wave propagation E. None of the above answers is correct Dr. Bullock FORM -A Physical Principles II –Exam 3 Question 56-60 For an xyz coordinate system shown in Figure 25-2, if the E-vector is in the +z direction, and the B-vector is in the +x direction, what is the direction of propagation of the electromagnetic waves? A. +y B. -y C. +x D. -x E. +z Question 61-65 Which one of the following is not an electromagnetic wave? A. UV B. infrared C. radio waves D. sound waves E. gamma rays Question 66-70 A Doppler weather radar operates at a frequency of 3.40 GHz. The wave from this radar system reflects from an approaching weather system moving with a speed of 39.0 m/s. What is the difference in frequency between the outgoing and returning waves? A. 442 Hz B. 351 Hz C. 419 Hz D. 322 Hz E. 670 Hz Dr. Bullock FORM -A Physical Principles II –Exam 3 Question 71-75 The magnetic field component of the electromagnetic wave is 15.0 μT. What is the magnetic energy density of the wave? A. 2.26 × 10-4 J/m3 B. 8.95 × 10-5 J/m2 C. 1.79 × 10-4 J/m3 D. 4.47 × 10-4 J/m2 E. 9.72 × 10-5 J/m3 Dr. Bullock FORM -A SHOW ALL YOUR WORK! Physical Principles II –Exam 3 NAME (10 POINTS) The above figure shows the phasor diagram for an RLC circuit in which the impedance is 337 . (a) What is the resistance, R, in this circuit? (b) Is this circuit driven at a frequency that is greater than, less than, or equal to the resonance frequency of the circuit? Explain. Dr. Bullock FORM -A SHOW ALL YOUR WORK! Physical Principles II –Exam 3 NAME (10 POINTS) A beam of vertically polarized light encounters two polarizing filters, as shown in the above figure. (a) Rank the three cases, A, B, and C, in order of increasing transmitted intensity. Indicate ties where appropriate. (b) Calculate the transmitted intensity for each of the cases in the figure, assuming that the incident intensity is 37.0 W/m2. Verify that your numerical results agree with the rankings in part (a).Continue your work on the next page if necessary. Dr. Bullock FORM -A Physical Principles II –Exam 3 Physical Principles II –Exam 3 Dr. Bullock FORM -A Walker, Physics, 3rd Edition Chapter 24 Numbered Equations V Vmax sin t 24-1 I rms ( I 2 )av 1 2 Imax 24–3 RMS Value of a Quantity with Sinusoidal Time Dependence ( x 2 ) av x max 2 1 2 x rms 1 2 x max 24–4 Vrms 1 2 Vmax 24–5 Irms CVrms 24–7 I rms Vrms XC 24–8 Capacitive Reactance, X C XC 1 24–9 C SI unit: ohm, Vmax Vmax, R 2 Vmax,C 2 24–10 Impedance in an RC Circuit 2 Z R X 2 C 1 R C 2 2 24–11 Physical Principles II –Exam 3 Dr. Bullock FORM -A SI unit: ohm, I max R R I max Z Z 24–12 Pav I rmsVrms cos 24–13 cos Inductive Reactance, X L X L L 24–14 SI unit: ohm, Impedance in an RL Circuit Z R2 X L 2 R2 (L) 2 24–15 SI unit: ohm, Impedance of an RLC Circuit 1 Z R 2 ( X L X C ) 2 R 2 L C 2 24–16 SI unit: ohm, tan I max ( X L XC ) X L XC I max R R 24–17 Natural Frequency of an LC Circuit 0 1 2f LC SI unit: s 1 24–18 Physical Principles II –Exam 3 Dr. Bullock FORM -A Walker, Physics, 3rd Edition Chapter 25 Numbered Equations Speed of Light in a Vacuum c 300 . 108 m s c 25–1 1 25–2 0 0 u f ' f 1 c 25–3 c f 25–4 u uE u B 12 0 E 2 u 12 0 E 2 1 E rms E max Brms Bmax B2 0 E 2 2 0 2 uav 12 0 Erms 1 B2 2 0 1 2 0 25–5 1 0 B2 2 2 Brms 0 Erms 25–6 1 0 2 Brms 25–7 2 25–8 2 E cB I uc 12 c 0 E 2 25–9 1 c 2 cB2 c 0 E 2 B 2 0 0 25–10 Dr. Bullock FORM -A p U c pressure av Physical Principles II –Exam 3 25–11 I av c 25–12 Law of Malus I I 0 cos2 25–13 Transmitted Intensity for an Unpolarized Beam I 21 I 0 25–14