Verify Stokes's theorem for the vector field: B =r cos of+sin o a. By evaluating §, B dl over the semicircular contour shown below b. By evaluating ,(V x B) ds over the semicircular contour shown below

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Curl. Stokes's theorem is a powerful equation that allows the conversion of a surface integral of the curl
of a vector over an open surface S into a line integral, such as in the calculation of current through a
closed magnetic field loop. Given that Stokes's theorem states:
Verify Stokes's theorem for the vector field:
B = r cos of+ sin o
a. By evaluating f, B dl over the semicircular contour shown below
b. By evaluating f,(v x B) ds over the semicircular contour shown below
y
Transcribed Image Text:Curl. Stokes's theorem is a powerful equation that allows the conversion of a surface integral of the curl of a vector over an open surface S into a line integral, such as in the calculation of current through a closed magnetic field loop. Given that Stokes's theorem states: Verify Stokes's theorem for the vector field: B = r cos of+ sin o a. By evaluating f, B dl over the semicircular contour shown below b. By evaluating f,(v x B) ds over the semicircular contour shown below y
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