A flat, square surface with side length 3.40 cm is in the xy-plane at z = 0. Cal

Mylo O'Moore

Mylo O'Moore

Answered question

2021-10-25

A flat, square surface with side length 3.40 cm is in the xy-plane at z = 0. Calculate the magnitude of the flux through this surface produced by a magnetic field B=(0.200T)i^+(0.300T)j^(0.500T)k^

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-10-26Added 86 answers

Side length R=6.50 cm is the xy-plane at z=0, which means the are vector points toward the positive z axis,
dA=dAk^ 
B=(0.200T)i^+(0.300T)j^(0.500T)k^ 
ϕB=BdA =[(0.200T)i^+(0.300T)j^(0.500T)k^][dAk^] 
(0.500T)dA =(0.500T)A=(0.500T)l2 =(0.500T)(6.50×102m)2=5.78×104Tm2 
ϕB=5.78×104 Tm2

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