X A bar magnet has a north and south magnetic pole. Which of the following equations indicate that when the bar magnet is broken in half, magnetic monopoles are not created? X A fE . dA = 0.10 m Bookmar X X X X B f B . dA = 0 C fE . d's = don X 0.20 m D fB . ds = Hoi + 2 & SEdA" X E All of Maxwell's equations indicate that magnetic monopoles do not exist. In an experiment, a changing magnetic field is used to create and an electric field in a circular conductor. The students generate a magnetic field of 2 T directed into the page in a circular region of radius 0.20 m . A circular ring of radius 0.10 m is placed concentric with the magnetic field, as shown. The magnetic field is decreased to zero in 0.50 seconds. Which of the following indicates the magnitude of the electric field in the conductor and indicates the Maxwell equation associated with determining the electric field? 2. A According to Gauss's law, the electric field will be 0.20 A time-dependent magnetic field is observed in a region of space. An electric field is also observed in the same region. Which of the following statements must be true if the electric field created the time-dependent magnetic field? B According to Ampere's law, the electric field will be 0.20 A The electric field must be time dependent. C According to the Maxwell-Faraday equation, the electric field will be 0.20 B There must be a fixed-charge distribution in the region. D According to Ampere's law, the electric field will be 0.80 C There must be excess positive or negative charge in the region. (E According to the Maxwell-Faraday equation, the electric field will be 0.80 D There must be a magnetic dipole in or near the region. Question 26 E The electric field must be in the same direction as the magnetic field. 5 Bookn R B A magnetic field B is directed into the page inside a circular region of radius R. Outside the region the magnetic field is zero. At time t = 0, the magnitude of B begins to change uniformly with time. Which of the following indicates the sets of graphs that represent how to linearize the data for the magnitude of the induced electric field E as a function of the distance r from the center of the circle for the regions r R? A As shown in the diagram, a magnetic field of magnitude B exists tangentially at For both r R, graph E as a function of r de B exists tangentially at the edge of a circular parallel plate capacitor of radius R. Not shown is the circuit that charges the capacitor. Determine the rate of change in the electric field between the plates of the capacitor as it charges. A =0 B For both r R, graph E as a function of B) C For r R, graph E as a function of r . C D For r R, graph E as a function of } D E For both r R, graph E as a function of