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Introduction to Electrodynamics
· Problem 1.55
Vector Analysis — David J. Griffiths
Physics · stokes-theorem
Problem
Check Stokes' theorem using the function
v
=
a
y
x
^
+
b
x
y
^
\mathbf{v} = ay\,\hat{\mathbf{x}} + bx\,\hat{\mathbf{y}}
v
=
a
y
x
^
+
b
x
y
^
(
a
a
a
and
b
b
b
are constants) and the circular path of radius
R
R
R
, centered at the origin in the
x
y
xy
x
y
plane. [Answer:
π
R
2
(
b
−
a
)
\pi R^2(b - a)
π
R
2
(
b
−
a
)
]
Related theory
stokes-theorem
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