SOLUTION In this example, we use = BA cos o to solve for the strength of a magnetic field. A plane surface with area 2.6 cm? is placed in a uniform magnetic field that is oriented at an angle of 30° to the surface. (a) What is the angle o? (b) If the magnetic flux through this area is 0.78 mWb , what is the magnitude of the magnetic SET UP AND SOLVE Part (a): (Figure 1) shows our sketch. As defined earlier, ø is the angle between the direction of B and a line normal to the surface, so o = 60° (not 30 °). Part (b): Because B and o are the same at all points on the surface, we can use PB = BAcos o. We solve for B, remembering to convert the area to square meters: field? B= 7.8x10-4 Wb = 6.0 T A cos o (2.6x10-4 m²)(cos 60°) Figure REFLECT The flux through the surface depends on its angle relative to B. Knowing this angle and the flux per unit area, we can find the magnitude of the magnetic field. < 1 of 1 Part A - Practice Problem: A For the same B and A, find the angle o at which the flux would have one third the value given above (i.e., the angle o at which Фв — 2.6 х 10 4 Wb). 30 Express your answer in degrees. B ?

SOLUTION In this example, we use = BA cos o to solve for the strength of a magnetic field. A plane surface with area 2.6 cm? is placed in a uniform magnetic field that is oriented at an angle of 30° to the surface. (a) What is the angle o? (b) If the magnetic flux through this area is 0.78 mWb , what is the magnitude of the magnetic SET UP AND SOLVE Part (a): (Figure 1) shows our sketch. As defined earlier, ø is the angle between the direction of B and a line normal to the surface, so o = 60° (not 30 °). Part (b): Because B and o are the same at all points on the surface, we can use PB = BAcos o. We solve for B, remembering to convert the area to square meters: field? B= 7.8x10-4 Wb = 6.0 T A cos o (2.6x10-4 m²)(cos 60°) Figure REFLECT The flux through the surface depends on its angle relative to B. Knowing this angle and the flux per unit area, we can find the magnitude of the magnetic field. < 1 of 1 Part A - Practice Problem: A For the same B and A, find the angle o at which the flux would have one third the value given above (i.e., the angle o at which Фв — 2.6 х 10 4 Wb). 30 Express your answer in degrees. B ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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