Problem 2: A uniform electric field is directed from left to right between 2 plates. The potential difference between the 2 plates is set to 2,000 V and the distance between the plates is at 5 cm. a. What is the electric field strength between the 2 plates in N/C? Now, an electron ( q electron= -1.6x10-19 C ) is placed between the 2 plates and travels a distance of 2.5 cm. Find the following quantities: b. the change in the electric potential energy PEelectric c. the potential difference V for this distance. d. the acceleration of the electron (m electron = 9.11x10-31 kg) Problem 3: A capacitor, connected to a 50 V battery and has 60 C of charge on each plate. a. What is the capacitance C of the capacitor? b. How much electrical potential energy PEelectric is stored in the capacitor? c. You insert a dielectric and the required voltage to charge the capacitor drops to 20 V. Find the new capacitance AND how many more times did the new capacitance with the dielectric increased compared to the old capacitance? d. What is the new stored electrical potential energy PEelectric?

Problem 5: A charge of +25.0 C is travelling at a speed of 5.0x106 m/s within the presence of an external magnetic field of unknown magnitude which is pointing to from right to the left. The velocity of the particle is pointing upwards. The magnetic force on the charge is measured to be 2.5x10-2 N. a. Find the magnitude of the magnetic field. b. Using the right hand rule determine the direction of FB for this positive charge. What would the direction of FB be if the charge was negative? c. Now assume an electric field of strength 500 N/C is turned on which points outside the page (coming out of the page) What is the magnitude electric force in N this charge feels and its direction? d. What would the magnitude of the total (net) force in N be on this charge by both the magnetic FB and electric force FE? Problem 6: A single circular loop with a radius of R=50 cm is placed in a uniform external magnetic field with initial strength of 30 T so that the plane of the coil is perpendicular to the field. The strength of the B-field changes to -10 T in 0.2 sec. The loop includes resistor of resistance of 250 . a) Find the average induced emf(V) during this time interval of 0.3 sec. b) What's the induced current I and power P dissipated through the resistor R? c) What is the magnitude of the induced magnetic field (produced by this induced current) along this circular loop/wire? d) What would the average induced emf and the induced current be if there were 15 loops? Problem 7: The electromagnetic wave from a light bulb has an electric field strength of E = 150 N/C. a) What's the strength of the magnetic field B? b) What's the energy density of the electric field uE and energy density of the magnetic field uB.? c) What's the intensity of the electric field IE and the intensity of the magnetic field IB ? d) What's the total energy density utotal and the total power P emitted by a spherical wave of this beam that has a radius of r = 0.05m ? Problem 8: An object is 30 cm in front of a concave spherical mirror that has a focal length of 10 cm. a. What are the image distance q and magnification M? Is the image virtual or real? Is the image inverted or upright? b. Repeat the same calculation for image distance q, magnification M for a convex mirror. Is the image virtual or real? Is the image inverted or upright? Problem 9: You shine a blue laser light-beam with wavelength of 445 nm from air to an unknown material at an angle of incidence of 35.0o. You measure the speed of light in this unknown material has decreased to a value of 1.20 108 m/s. a) What is the index of refraction of this material? b) What is the angle of refraction inside this material? c) If this blue light-laser were to come from inside this material out to the air, find the critical angle at which the refracted ray emerges parallel along the boundary surface. d) What is the condition for this blue light laser to experience total internal reflection? Problem 10: Red light from a He-Ne laser passes through a double slit with slit width of 0.0035 mm. The wavelength of the red laser light is 632.8 nm and the distance from the double slit to the screen (where you observe the pattern) is R=5.0 m. a. Find the angular positions (in terms of angle ) with respect to the central maximum (or 0th order bright fringe) for the second bright fringe and third bright fringe. b. Find the linear positions in meters with respect to the central maximum for the 2nd and 3rd bright fringe you found. c. Find the angular positions (in terms if angle ) with respect to the central maximum (or 0th order bright fringe) for the first dark fringe and second dark fringe. d. What would happen to the interference pattern if you pass it through glass. Will the pattern (the bright & dark fringes) be closely spaced or more widely spaced together on the screen? Explain why and how in full detail to receive full credit.

Problem 11: X-rays of wavelength 0.200 nm are scattered from an electron at rest at 45 degrees. a. Calculate change in wavelength via the Compton shift equation and the new wavelength of scattered photon. b. Calculate energy of X-ray photon before scattering and after scattering. c. What are the corresponding frequencies for both photons? d. Using energy conservation calculate acquired KE of electron after scattering. Problem 12: An electron moves in the positive x-direction at 3x106 m/s measured within precision of 0.10%. Find uncertainty in measuring its position assuming its going in a straight fashion.