Faraday’s Law of Electromagnetic Induction and Lenz’s LawPhy 213: General Physics III 1/14/2019Chapter 30 Worksheet 1Faraday’s Law of Electromagnetic Induction and Lenz’s Law1. For the following scenarios, determine whether the magnetic flux changes or stays the same. If the flux changes: indicate whether it is increasing or decreasing (and in which direction). Explain your answer.a. The magnet is held stationary to the solenoid.b. The magnet is moving toward the solenoid.c. The magnet is moving away from the solenoid.2. Find the direction of the induced current for the solenoid in the figure below, when the magnet is _____.a. stationary to the solenoid.b. moving toward the solenoid.c. moving away from the solenoid.3. A circular loop (radius of 10 cm or 0.10 m) is placed in a uniform magnetic field of magnitude,B =2.0T(out of page)N SAN SAN SAN SAN SAN SAPhy 213: General Physics III 1/14/2019Chapter 30 Worksheet 2B = 2.0 T, where the face of the loop is perpendicular to the direction of the magnetic field.a. Determine the magnetic flux through the loop.b. The loop is then rotated 90o in 3.0 seconds. What is the magnetic flux through the loop at the end of the 3.0 seconds?c. What is the induced emf in the loop during the rotation?4. A person moves a 2-m rod at a constant velocity of 3 m/s in a magnetic field, B= 2.0 T. The rod is perpendicular to the direction of the B field.a. What is the direction of induced current in the rod?b. Determine the induced emf in the rod.c. The resistance in the rod (and connecting wires) is 2-. What is the current in the rod?d. Determine the magnitude and direction of the magnetic force acting on the rod.e. Determine the force the person exerts on the rod tokeep it in motion.Av = 3 m/sBPhy 213: General Physics III 1/14/2019Chapter 30 Worksheet 35. Consider a 1-m conducting rod attached at each end by conducting rails. The rails are connected at the top and the total loop has a resistance of 5-. (see figure below). The rod falls to the ground at a constant velocity, v. The apparatus is inside a constant magnetic field, B = 3.0 T (directed out of the page). The mass of the rod is 0.5kg.a) What is the magnetic force on the falling rod, due to the magnetic field?b) What is the induced current in the rod?c) What is the induced electromotive force, ?d) What is the equation for the rate of change of magnetic flux for this problem?e) How fast is the rod falling?f) When the rail falls for 1 sec, verify that energy is conserved.v = constant1 mR = 5 B = 3.0 T (out of page)Phy 213: General Physics III 1/14/2019Chapter 30 Worksheet 4Generator6. A water powered generator, shown below, to convert mechanical energy into electrical energy. A rotating wheel receives falling water forcing a wire loop (N=500), located within a constant magnetic field B=0.01 T (as shown), to rotate counter-clockwise at a rate of 150 rpm. The length of the segment normal to the B field (side a) are 0.20 m and the length of the segment parallel to the field (side b) is 0.15 m.a. What is the area of the regionof the coil within themagnetic field?b. Determine the generalequation for the magnetic fluxthrough the coil in terms ofarea A, B, and angularvelocity .c. What is the angular velocity of the rotating coil?d. Calculate the induced electromotive force around the loop.e. What direction does the induced current flow around the coil? Explain.abPhy 213: General Physics III 1/14/2019Chapter 30 Worksheet 5Self Inductance:7. A solenoid, r=0.0001 m, l=0.003 m (length) and N=1000, is in series with a 10  resistor, both of which are in parallel with a 10  resistor, all of these are in series with a 5 V power supply.a. Determine the inductance, L, of thesolenoid.b. When the power supply is initiallyconnected. What is the current across the solenoid?c. What is the initial current drawn from the power supply?d. After 1 minute, what is the current through the solenoid?e. What is the total current drawn from the power supply?f. How much energy is stored in the inductor after 2.0s?+-10 10 5