A The magnetic field in a region of space is given by
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Physics for Scientists and Engineers: Foundations and Connections
- A current-carrying conductor PQ of mass m and length L is placed on an inclined plane with angle of inclination (Fig. P30.93). A uniform magnetic field B is directed upward as shown. Assume friction is negligible. a. Determine the magnitude and direction of the current in the conductor so that it remains in equilibrium. b. If the direction of the current is reversed, will the conductor still be in equilibrium? If not, find the magnitude of the initial acceleration of the conductor. FIGURE P30.93arrow_forward(a) A 200-turn circular loop of radius SO.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. Earth’s field here is due north, parallel to the ground, with a strength of 3.0105T. What are the direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?arrow_forwardA conducting rod is pulled with constant speed v on a smooth conducting rail as shown in Figure P32.77. A constant magnetic field B is directed into the page. If the speed of the bar is doubled, by what factor does the rate of heat dissipation change? FIGURE P32.77arrow_forward
- A square conducting loop with side length a = 1.25 cm is placed at the center of a solenoid 40.0 cm long with a current of 4.30 A flowing through its 420 turns, and it is aligned so that the plane of the loop is perpendicular to the long axis of the solenoid. The radius of the solenoid is 5.00 cm. a. What is the magnetic flux through the loop? b. What is the magnitude of the average emf induced in the loop if the current in the solenoid is increased from 4.30 A to 10.0 A in 1.75 s?arrow_forwardA rectangular silver strip is 2.50 cm wide and 0.050 cm thick. It is in a magnetic field perpendicular to its surface (Fig. 30.41, page 957). The magnetic field is uniform, with a magnitude of 1.75 T. The strip carries a current of 6.45 A. According to Table 28.2, the number density of charge carriers in silver is 5.86 1028 m3. Find the Hall voltage for this strip.arrow_forwardA metal rod of mass M and length L is pivoted about a hinge at point O as shown in Figure P32.80. The axis of rotation passes through O into the page. A constant magnetic field B is applied into the page. Find the ratio of the maximum electric field inside the rod to the applied magnetic field when the rod is rotated with angular speed . Assume the speed of the rod is determined by the linear speed of its center of mass, and its mass is uniformly distributed. FIGURE P32.80arrow_forward
- A square coil with a side length of 12.0 cm and 34 turns is positioned in a region with a horizontally directed, spatially uniform magnetic field of 82.0 mT and set to rotate about a vertical axis with an angular speed of 1.20 102 rev/min. a. What is the maximum emf induced in the spinning coil by this field? b. What is the angle between the plane of the coil and the direction of the field when the maximum induced emf occurs?arrow_forward(a) Use the result of the previous problem to calculate the magnetic field between, above, and below the pair of infinite sheets shown in the accompanying figure, (b) Repeat your calculations if the direction of the current in the lower sheet is reversed.arrow_forwardOne common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning