Problem 33.5 The following figure shows a 2.0-cm-diameter solenoid passing throu

Question

Problem 33.5 The following figure shows a 2.0-cm-diameter solenoid passing through the center of a 6.2-Cm-diameter loop. The magnetic field inside the solenoid is 0.25T. (Figure 1) Part A What is the magnetic flux through the loop when it is perpendicular to the solenoid? Express your answer to two significant figures and include the appropriate units. Part B What is the magnetic flux through the loop when it is tilted at a 60 degree angle? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

The diameter of the solenoid d = 2.0 cm

then the radius of the solenoid r = 1.0 cm

the magnetic filed B = 0.25T

(a) The magnetic flux through the loop

                ? = BAcos?

                    = B?r^2 cos0

                    = (0.25)?(1*10^-2)^2

                            = 7.854*10^-5 Wb

(b) when it is tilted at ? = 60

then the area of the loop is A = ?r^2 /cos?

therefore the flux ? = BAcos?

                              = B(?r^2/cos?)cos?

                              = B(?r^2) = 7.854*10^-5 wb

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