The drawing shows two surfaces that have the same area. A uniform magnetic field

Question

The drawing shows two surfaces that have the same area. A uniform magnetic field B vector fills the space occupied by these surfaces and is oriented parallel to the yz plane as shown. If theta = 17 degree, find the ratio phi_xz/phi_xy of the magnetic fluxes that pass through the surfaces. phi_xz/phi_xy = _____ Two flat surfaces are exposed to a uniform, horizontal magnetic field of magnitude 0.50 T. When viewed edge-on, the first surface is tilted at an angle of 14 degree from the horizontal, and a net magnetic flux of 8.60 times 10^-3 Wb passes through it. The same net magnetic flux passes through the second surface. (a) Determine the area of the first surface. ____ m^2 (b) Find the smallest possible value for the area of the second surface _____ m^2 A magnetic field has a magnitude of 0.079 T and is uniform over a circular surface whose radius is 0.19 m. The field is oriented at an angle of phi = 22 degree with respect to the normal to the surface. What is the magnetic flux through the surface? _____ Wb The magnetic flux that passes through one turn of a 26-turn coil of wire changes to 5.0 Wb from 20.0 Wb in a time of 0.088 s. The average induced current in the coil is 200 A. What is the resistance of the wire? _____ Ohm

Explanation / Answer

5)

B = 0.50 T

theta = 14 degree

a) let the area of the first surface is A

Flux = B * A * sin(theta)

8.6 *10^-3 = 0.50 * A * sin(14)

solving for A

A = 0.0711 m^2

the area of the surface is 0.0711 m^2

b)

for the smallest area

8.6 *10^-3 = 0.50 * A

A = 16.6 *10^-3 m^2

the area of the second surface is 16.6 *10^-3 m^2

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