take home test - Web Physics

P2 The figure shows an infinite straight wire running parallel to one edge of a square wire loop.The distances are defined in the figure, and the wire loophas a net resistance R. The current in the straight wire isgiven by I = I 0 e -t/τ .At t = 0 please find:Ia) The direction of the current induced in the wire loop.b) The magnetic field a distance r from the wire.c) The magnetic flux through the wire loop.d) The magnitude of the current induced in the loop.abL

P3 Light enters an equilateral triangular prism atan angle θ i to the normal. The index of refractionof the glass is n = 1.5. The refracted beamundergoes total internal reflection at point A thenexits the prism at point B. Please find:a) The angle between the exiting beam and thenormal to the bottom face if θ i = 20°.b) The maximum value of θ i .θ iAB

P4 A lens with f = -30 cm is placed 45 cm to the right of a plane mirror. An object is placedbetween them, 20 cm from the lens. A viewer on the right will see two images. Please answereach of the following:a) Is this a converging or a diverging lens?b) What is the focal length of the mirror?c) How far from the lens is each of the images?d) Are the images both real, both virtual or one of each?