he magnetic field now depends on location, according to the equation B= Bo +a z? Strip of thickness a.) consicer a thin strip of thickness dy has a field here given by dy that 15 at location Ź=Y for this Strip, write dewn expressions for 8, dA, and do. give your answer in terms of Bo, a, W, y and dy. B= dA = b.) Now add uup all of the strips of thickness dy that makco up the entire area of the loop; take an' integral ss of your anwer from ca) from 4=0 to v= to find the total flux, O c) use the chain rule again to find the emf in of Bo, a, w,X, and v where V dx of the bar moving to the right. (1.e. 1s the speed terms =3
he magnetic field now depends on location, according to the equation B= Bo +a z? Strip of thickness a.) consicer a thin strip of thickness dy has a field here given by dy that 15 at location Ź=Y for this Strip, write dewn expressions for 8, dA, and do. give your answer in terms of Bo, a, W, y and dy. B= dA = b.) Now add uup all of the strips of thickness dy that makco up the entire area of the loop; take an' integral ss of your anwer from ca) from 4=0 to v= to find the total flux, O c) use the chain rule again to find the emf in of Bo, a, w,X, and v where V dx of the bar moving to the right. (1.e. 1s the speed terms =3
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Transcribed Image Text:The magnetic field now depends on location, according
to the equation
B= Bo + a z?
Strip of thickness
a.) consicter a thin strip of thickne'ss
dy has a
Field here given by
dy
for this Strip, write deuwn
expressions for B, dA, and do.
give your answer in terms of
y that irA 1s at location 2=Y
Bo, a, W, y and dy.
B=
dA =
d =
b.) Now add up all of the Strips of thickness dy that
makcs up the entire area of the loopi take an integral
ass of your anwer from (a) from 4=0 to y= X
to find the total fluX, O
ニ
c) Use the chain rule again to find the emf in
terms of Bo, a,w,X, and v where V
dx
of the bar moving to the right. (1e.
1s the specd
dt
=3
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