The following figure shows a 1.4-cm-diameter solenoid passing through the center

Question

The following figure shows a 1.4-cm-diameter solenoid passing through the center of a 4.2-cm-diameter loop. The magnetic field inside the solenoid is 0.21 T .(Figure 1)(https://session.masteringphysics.com/problemAsset/1385987/5/34.EX5.jpg)

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 angle?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

magnetic flux phi = NAB cos theta

where N is no. of turns

A is area = pi r^2

r is radius = 1.4/2 = 0.7 cm

so

part A : for max flux theta = 0 deg

so

FLux = 1 * 3.14 * 0.021 * 0.021 * cos 0

flux = 1.38 mili Webers

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when Tilted 60 deg

magnetic flux phi = NAB cos theta

where N is no. of turns

A is area = pi r^2

r is radius = 1.4/2 = 0.7 cm

so

part A : for max flux theta = 0 deg

so

FLux = 1 * 3.14 * 0.021 * 0.021 * cos 60

flux = 0.69 mili Webers

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