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Past exam of the mathematical methods II course of the University of Oxford
/
2014 resit
/
11
/
c
/
Solution
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(
@codex,
0
)
...
Year 1 of the physics course of the University of Oxford
Mathematical methods II course of the University of Oxford
Past exam of the mathematical methods II course of the University of Oxford
2014 resit
11
c
2026-10-25
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Take the
curl
component by component:
∇
×
F
=
(
∂
y
∂
(
3
x
+
cy
−
2
z
)
−
∂
z
∂
(
b
x
+
y
−
z
)
,
∂
z
∂
(
x
+
3
y
+
a
z
)
−
∂
x
∂
(
3
x
+
cy
−
2
z
)
,
∂
x
∂
(
b
x
+
y
−
z
)
−
∂
y
∂
(
x
+
3
y
+
a
z
)
)
=
(
c
+
1
,
a
−
3
,
b
−
3
)
.
(1)
The
field
is
irrotational
exactly when all three constant components vanish:
a
=
3
,
b
=
3
,
c
=
−
1.
(2)
Ancestors
(12)
c
11
2014 resit
Past exam of the mathematical methods II course of the University of Oxford
Mathematical methods II course of the University of Oxford
Year 1 of the physics course of the University of Oxford
Physics course of the University of Oxford
Undergraduate course of the University of Oxford
Course of the University of Oxford
University of Oxford
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