R = 5.00 Q P = Fex V =8.50 J/s X X:X X 1 |X X X X R Fext X x x x t. X X X X хXXX A rectangular wire loop of length L, width w, is pulled out of a constant, uniform magnetic field with constant velocity v. The loop has a resistance R. The magnetic field of magnitude B, points into the plane of the paper, and is confined to the rectangular region shown above. Work must be done on the loop at the rate of P, to move it through the magnetic field at constant velocity. Find the magnitude of the emf, E, and the current I for the loop.
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- A uniform magnetic field of magnitude 0.32 T is directed perpendicular to the plane of a rectangular loop having dimensions 7.7 cm by 13 cm. Find the magnetic flux through the loop. T · m2In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.470 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.15 x 10-12 v, what is the magnitude of the Earth's magnetic field at this location? µT Need Help? Read It Master ItThe magnetic field produced by the solenoid in a magnetic resonance imaging (MRI) system designed for measurements on whole human bodies has a field strength of 8.83 T, and the current in the solenoid is 3.08 × 102 A. What is the number of turns per meter of length of the solenoid? Number i Units >
- A copper wire is 10.00 m long and has a cross-sectional area of 2.00 ✕ 10-4 m2. This wire forms a one turn loop in the shape of square and is then connected to a battery that applies a potential difference of 0.100 V. If the loop is placed in a uniform magnetic field of magnitude 0.400 T, what is the maximum torque that can act on it? The resistivity of copper is 1.7 ✕ 10-8 ·m.In one of NASA's space tether experiments, a 20.0 km-long conducting wire was deployed by the space shuttle as it orbited at 7.86 ✕ 103 m/s around Earth and across Earth's magnetic field lines. The resulting motional emf was used as a power source. If the component of Earth's magnetic field perpendicular to the tether was 1.60 ✕ 10−5 T, determine the maximum possible potential difference (in V) between the two ends of the tether. VA uniform magnetic field of magnitude 0.54 T is directed perpendicular to the plane of a rectangular loop having dimensions 8.3 cm by 10 cm. Find the magnetic flux through the loop. T · m2
- R = 5.00 Q P = Fex•V =8.50 J/s X X:X X R * |X X X X Fext X xx X X X X X X X X X A rectangular wire loop of length L, width w, is pulled out of a constant, uniform magnetic field with constant velocity v. The loop has a resistance R. The magnetic field of magnitude B, points into the plane of the paper, and is confined to the rectangular region shown above. Work must be done on the loop at the rate of P, to move it through the magnetic field at constant velocity. The current I travels in the Explain your reasoning. a) Clockwise direction b) Counterclockwise direction c) There is no currentIn an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.440 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m³ and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.80 x 1012 v, what is the magnitude of the Earth's magnetic field at this location? 0.0431 Your response is off by a multiple of ten. µTThe loop in the figure is being pushed into the 0.20 T magnetic field at 45 m/s . The resistance of the loop is 0.50 N. (Figure 1) You may want to review (Pages 849 - 851) . Figure 1 of 1 V В 5.0 cm
- In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.450 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.75 x 10-12 v, what is the magnitude of the Earth's magnetic field at this location? µTYou wish to construct a solenoid with a diameter of 2.00 cm that will produce a magnetic field of 6.20 × 10¬2 T at its center when a current of 14.0 A is passing through the coils. You want the resistance of the coil wire to be 5.60 . The resistivity of the wire used is 1.70 x 10-8 N:m (at 20.0°C), and you are using a wire that has a cross sectional area of 3.14 × 10¬8 m². (Note that this solenoid may not necessarily be so tightly wound that the adjacent loops of wire will touch each other. Nonetheless, you may assume that it behaves like an ideal solenoid.) Determine the following. (a) number of turns needed on the solenoid turns (b) length of the solenoidA straight conductor of fixed length / is moving at 45 degrees to a uniform magnetic field of strength B with constant speed v. Calculate v, if B=9.7 T, 1=2.5 m and electromotive force e 5 V. Give your answer in Sl units. Answer: m/s