ROBLEM 3A: A loop of conducting wire, R = 0.1 $2, is being pushed with constant 4 cm velocity of 60 cm/s into a region of constant magnetic field, B = 0.3T, as shown in the figure. The dimensions of the loop are given in the figure. (A) (8 pts) What is the magnitude of the induced emf in the loop of wire? X 10 cm X X X TOO E = (B) (4 pts) What is the magnitude of the induced current in the loop of wire? I = (C) (8 pts) What are the directions of (1) the induced current and (II) the resulting magnetic force on the loop? You must provide step-by-step reasoning for credit. Direction of current: Direction of force: PROBLEM 3B: A pipe closed on one end and opened on the other plays a note 330 Hz. You use this to tune the high E string (0.4647 g/m) on your guitar to the same pitch. For full credit you must draw the standing wave in each part. (Note: The speed of sound in air is 343 m/s.) (A) (8 pts) The portion of the guitar string that vibrates is 64.8 cm. What tension will you need in the string to achieve this note as its fundamental frequency? Tension = (B) (8 pts) The pipe you're using is creating the note on its 3'd harmonic. What is the length of this pipe