A prism made of flint glass has a cross section that is an equilateral triangle. The index of refraction for red and violet light respectively in flint glass is 1.662 and 1.698. If as shown in the figure, the angle of incidence in air for both colors of light is 72.30, determine the angle at which both colors emerge back into air after traveling through the prism. red light 34.973 X Have you drawn a careful figure to show how the path for violet light will differ from the path of red light? Have you looked for relations among the various angles in your diagram? violet light 8 X Can you write Snell's law for both red and violet light as they travel from air and into the flint glass prism and then again as they emerge from the prism and refract in air? Red Violet Additional MaterialsAs shown in the figure below, two long parallel wires (1 and 2) carry currents of Ij = 3.24 A and 12 = 4.85 A in the direction indicated. (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). 6 X magnitude What is the right-hand rule for currents? What is the direction of the magnetic field vector due to current I,? Due to current 12? What is the formula for the magnitude of the magnetic field due to a long, straight wire? Knowing each magnetic field vector, how must the vectors be added to find the net field? IT 4 direction X What do you notice about the directions of the magnetic field vectors due to Ij and 12? Which has the larger magnitude? What does this imply about the direction of the net field? counterclockwise from the +x-axis (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. X magnitude What is the right-hand rule for currents? What is the direction of the magnetic field vector due to current I,? Due to current /2? What is the formula for the magnitude of the magnetic field due to a long, straight wire? Knowing each magnetic field vector, how must the vectors be added to find the net field? IT direction 4 X What are the x and y components of the net magnetic field? Can you use trigonometry to determine the direction? counterclockwise from the +x-axis Additional Materials ReadingA single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below. S coil The field inside the coil changes from 0.480 T to 0.295 T in 0.120 s. If the resistance of the coil is 3.50 0, what is the magnitude and direction of the induced current in the coil as viewed from the side of the magnet? magnitude 0.0097 X How does Faraday's law relate the induced emf to the change in flux? mA direction counterclockwise v Additional Materials Reading TutorialA long, straight wire carrying a current of 3.79 A moves with a constant speed v to the right. A 5-turn circular coil of diameter 12.5 cm, and resistance of 3.25 un, lies stationary in the same plane as the straight wire. At some initial time the wire is at a distance d = 7.25 cm from the center of the coil. 5.41 s later, the wire is at a distance 2d from the center of the coil. What is the magnitude and direction of the average induced current in the coil? magnitude 0.235 X What is the change in magnetic flux inside the coil due to the straight wire? How does Faraday's law relate this change in flux to the induced emf? mA direction ---Select--- O 2d initial situation final situation Additional MaterialsA 5.20 JF capacitor and a 3.80 mH inductor are connected in series with an AC power source that has a frequency of 1.20 x 10 Hz and a peak voltage of 58.0 V. Take the initial time t as zero when the instantaneous voltage equals zero. (a) What is the instantaneous voltage at t = 1.54 x 10-4 s? 6 X What is the expression for the sinusoidal behavior of the generator's voltage? What units should you use for the argument of the sine function? V (b) Determine the instantaneous current when t = 1.54 x 10-4 s. 7 X What is the phase angle between the instantaneous current and instantaneous voltage in an RLC circuit where R = 0? How does this affect the expression for the instantaneous current? A Additional Materials ReadingAn RLC series circuit has a 1.00 k resistor, a 152 mH inductor, and a 25.0 nF capacitor. (a) Find the circuit's impedance at 518 Hz. 2 X What are the reactances of the capacitor and inductor? Check your calculations. (b) If the voltage source has Vrms = 408 V, what is Irms? 2 X How is the rms current related to the rms voltage? mA (c) What is the resonant frequency of the circuit? 2 X What is the condition for resonance? How is the resonant frequency dependent on the components of an RLC circuit? KHz (d) What is Irms at resonance? 4 X What is the impedance of the circuit at resonance? mA Additional MaterialsAn RLC series circuit has a 1.00 kf resistor, a 152 mH inductor, and a 25.0 nF capacitor. (a) Find the circuit's impedance at 518 Hz. 2 X What are the reactances of the capacitor and inductor? Check your calculations. n (b) If the voltage source has Vrms = 408 V, what is Irms? 2 X How is the rms current related to the rms voltage? mA (c) What is the resonant frequency of the circuit? 2 X What is the condition for resonance? How is the resonant frequency dependent on the components of an RLC circuit? KHz (d) What is Irms at resonance? 4 X What is the impedance of the circuit at resonance? mA Additional MaterialsA long straight wire carrying a current of 2.25 A moves with a constant speed v to the right. A 5 turn circular coil of diameter 12.5 cm, and resistance of 3.25 un, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 5.00 cm from its center. 3.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. What is the magnitude and direction of the induced current in the coil? 4 magnitude What is the change in magnetic flux inside the coil due to the straight wire? How does Faraday's law relate this change in flux to the induced emf? mA direction clockwise v V Initial situation Final situation initial situation final situation Additional Materials5 b V = 53. 2 volts. the instantaneous current is I = CV I = (5 : 2 x 10 - 6) 53.2 1. 54 X 10 - 4 I= 1.8 A a Z = ( 10 3 ) 2 + 2 TT X 518 X 152 X 10-3 _ 1 21 x 5 1 8 X 25 X10 2 = 1 . 184 X104 in b 8 c Bnet = HOT, + HOIZ 2 nd 271 ( d 52 ) cosys ) it / HoIZ 2n d52 sinus ) s Bnet = 2x 10- 7 6. 1 ( 3 . 24 + 4.85 2 ) 1 + 2 x 107 0 ' 1 X 4 : 8 5 Bnet = 2 J ( 1 1 . 3 3 1 + 4 . 8 5 J ) X10 6 T magnitude = 1 2 . 324 MT direction tang = 4:85 11 . 33 g = 23. 17. AR