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Physics
Physics
Problem
Electric dipole of moment
p
⃗
=
p
i
^
\vec{p} = p\hat{i}
p
=
p
i
^
is kept at a point
(
x
,
y
)
(x, y)
(
x
,
y
)
in an electric field
E
⃗
=
4
x
y
2
i
^
+
4
x
2
y
j
^
\vec{E} = 4xy^2\hat{i} + 4x^2y\hat{j}
E
=
4
x
y
2
i
^
+
4
x
2
y
j
^
. Find the force on the dipole. (1)
4
p
y
2
4py^2
4
p
y
2
(2)
4
p
y
(
y
2
+
2
x
2
)
1
/
2
4py(y^2 + 2x^2)^{1/2}
4
p
y
(
y
2
+
2
x
2
)
1/2
(3)
4
p
y
2
+
8
p
x
y
4py^2 + 8pxy
4
p
y
2
+
8
p
x
y
(4)
4
p
y
(
y
2
+
4
x
2
)
1
/
2
4py(y^2 + 4x^2)^{1/2}
4
p
y
(
y
2
+
4
x
2
)
1/2
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