flux and faraday\'s law: 1. A magnetic field has a magnitude of 0.078 T and is u

Question

flux and faraday's law:

1. A magnetic field has a magnitude of 0.078 T and is uniform over a circular surface whose radius is 0.10 m. The field is oriented at an angle of ? = 25 with respect to the normal to the surface. What is the magnetic flux through the surface?

2. . Magnetic Resonance Imaging (MRI) is a medical technique for producing pictures of the interior of the body. The patient is placed within a strong magnetic field. One safety concern is what would happen to the positively and negatively charged particles in the body fluids if an equipment failure caused the magnetic field to be shut off suddenly. An induced emf could cause these particles to flow, producing an electric current within the body. Suppose the largest surface of the body through which flux passes has an area of 0.032 m2 and a normal that is parallel to a magnetic field of 1.5 T. Determine the smallest time period during which the field can be allowed to vanish if the magnitude of the average induced emf is to be kept less than 0.010 V.

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Lenz's Law

1. The drawing above shows that a uniform magnetic field is directed perpendicularly into the plane of
the paper and fills the entire region to the left of the y-axis. There is no magnetic field to the right of
the y-axis. A rigid right triangle ABC is made of copper wire. The triangle rotates counterclockwise
about the origin at point C. What is the direction (clockwise or counterclockwise) of the induced
current when the triangle is crossing

a. the +y-axis

b. the x-axis

c. the y-axis

d. the +x-axis

For each case above, justify your answer.

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2. The plane of a flat, circular loop of wire is horizontal. An external magnetic field is directed
perpendicular to the plane of the loop. The magnitude of the external magnetic field is increasing with
time. Because of this increasing magnetic field, an induced current is flowing clockwise in the loop,
as viewed from above. What is the direction of the external magnetic field? Justify your conclusion

flux and faraday's law: 1. A magnetic field has a magnitude of 0.078 T and is uniform over a circular surface whose radius is 0.10 m. The field is oriented at an angle of ? = 25½ with respect to the normal to the surface. What is the magnetic flux through the surface? 2. . Magnetic Resonance Imaging (MRI) is a medical technique for producing pictures of the interior of the body. The patient is placed within a strong magnetic field. One safety concern is what would happen to the positively and negatively charged particles in the body fluids if an equipment failure caused the magnetic field to be shut off suddenly. An induced emf could cause these particles to flow, producing an electric current within the body. Suppose the largest surface of the body through which flux passes has an area of 0.032 m2 and a normal that is parallel to a magnetic field of 1.5 T. Determine the smallest time period during which the field can be allowed to vanish if the magnitude of the average induced emf is to be kept less than 0.010 V. ----- Lenz's Law 1. The drawing above shows that a uniform magnetic field is directed perpendicularly into the plane of the paper and fills the entire region to the left of the y-axis. There is no magnetic field to the right of the y-axis. A rigid right triangle ABC is made of copper wire. The triangle rotates counterclockwise about the origin at point C. What is the direction (clockwise or counterclockwise) of the induced current when the triangle is crossing½ a. the +y-axis b. the ½x-axis c. the ½y-axis d. the +x-axis For each case above, justify your answer. ----- 2. The plane of a flat, circular loop of wire is horizontal. An external magnetic field is directed perpendicular to the plane of the loop. The magnitude of the external magnetic field is increasing with time. Because of this increasing magnetic field, an induced current is flowing clockwise in the loop,

Explanation / Answer

1)   FLUX = B.A

FLUX = BA cos theta

theta angle between area vector and B

FlUX = 0.078*0.1*0.1*3.14*cos25

Flux = 2.2208 *10^-3T-m^2

                                                                                                                                       

2) Rate change of flux = EMF induced

Flux = 1.5*0.032 = 0.048

Flux/Time = 0.01V

Time(smallest) = 4.8 sec

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