Summary AP Physics C: E&M - OpenStax University Physics Volume 2, Chapter 13 Problems 24, 27, 28, 30, 33, 35, 36, 37, 38, 45

AP Physics C: Electricity and Magnetism. OpenStax University Physics Volume 2, Chapter 13 Problems 24, 27, 28, 30, 33, 35, 36, 37, 38, 45 with Answers and Work. 13.1 Faraday’s Law 24. A 50-turn coil has a diameter of 15 cm. The coil is placed in a spatially uniform magnetic field of magnitude 0.50 T so that the face of the coil and the magnetic field are perpendicular. Find the magnitude of the emf induced in the coil if the magnetic field is reduced to zero uniformly in (a) 0.10 s, (b) 1.0 s, and (c) 60 s. 27. The magnetic field through a circular loop of radius 10.0 cm varies with time as shown below. The field is perpendicular to the loop. Plot the magnitude of the induced emf in the loop as a function of time. Figure shows the magnetic field in milliTesla plotted as a function of time in ms. Magnetic field is zero when the time is equal to zero. It increases linearly with time reaching 3 milliTesla and 2 ms. It remains the same till 5 ms and then decreases linearly to 0 and 6 ms. 28. The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0Ω. The magnetic field at all points inside the coil varies according to B=B0e−αt, where B0=0.25T and α=200Hz. What is the current induced in the coil at (a) t=0.001s , (b) 0.002 s, (c) 2.0 s? 30. A long solenoid with n=10 turns per centimeter has a cross-sectional area of 5.0cm2 and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil? 13.2 Lenz's Law 33. A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field increases uniformly from 200 to 300 mT. (a) Determine the emf induced in the loop. (b) If the magnetic field is directed out of the page, what is the direction of the current induced in the loop? 35. The magnetic flux through the loop shown in the accompanying figure varies with time according to Φm=2.00e−3tsin(120πt), where Φm is in webers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t=0 ; (b) t=2.17×10−2s, and (c) t=3.00s? Figure shows a loop with the magnetic flux perpendicular to the loop. Loop is connected to a 5 Ohm resistor. 36. Use Lenz’s law to determine the direction of induced current in each case.Figure A shows a metal bar moving to the left in the perpendicular uniform magnetic field. Figure B shows a loop moving to the right in a parallel uniform magnetic field. Figure C shows a loop moved into a perpendicular uniform magnetic field. Figure D shows a metal bar moving to the right in the perpendicular uniform magnetic field. Figure E shows a loop located into an increasing perpendicular magnetic field. Figure F shows a loop located into a decreasing parallel magnetic field. 13.3 Motional Emf 37. An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where the Earth’s horizontal magnetic field is 5.5×10−5T. What is the maximum possible emf induced in the antenna due to this motion? 38. The rectangular loop of N turns shown below moves to the right with a constant velocity v⃗ while leaving the poles of a large electromagnet. (a) Assuming that the magnetic field is uniform between the pole faces and negligible elsewhere, determine the induced emf in the loop. (b) What is the source of work that produces this emf? 45. The rod shown below moves to the right on essentially zero-resistance rails at a speed of v=3.0m/s. If B=0.75T everywhere in the region, what is the current through the 5.0-Ω resistor? Does the current circulate clockwise or counterclockwise?Figure shows the rod that slides to the right along the conducting rails at a constant velocity v in a uniform perpendicular magnetic field. Distance between the rails is 4 cm. The rails are connected through the 5 Ohm resistor.