Given the potential, V = 100(x² - y2), find p, P(2, -1, 3).
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Given the potential, V = 100(x² - y²), find p, P(2, -1, 3).
V₂ = 100((2)² – (-1)²) = 300 V
Conductor surface is equipotential
⇒ The surface equation is 300=100(x² - y²)
E=-V.V=-200xa
Ep =-400a-200a,
P
x²-y²=3
+200 ya
V/m
Dp = Ep = -3.542a −1.771a¸ nC/m²
DN = |D₂|= 3.96 nC/m²
PS.P = DN = 3.96 nC/m²
.
Carefully examine
the surface
direction
1
0
-3
z = 3 plane
1
x²-y²=3
V-300 V
xy=-2
3
P(2,-1,3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c0fee58-2ce7-4ba9-a571-e5928f1d31c3%2F4b8275f5-5eed-414f-b8aa-855e01a03cb3%2Fo5o5w9g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example
Given the potential, V = 100(x² - y²), find p, P(2, -1, 3).
V₂ = 100((2)² – (-1)²) = 300 V
Conductor surface is equipotential
⇒ The surface equation is 300=100(x² - y²)
E=-V.V=-200xa
Ep =-400a-200a,
P
x²-y²=3
+200 ya
V/m
Dp = Ep = -3.542a −1.771a¸ nC/m²
DN = |D₂|= 3.96 nC/m²
PS.P = DN = 3.96 nC/m²
.
Carefully examine
the surface
direction
1
0
-3
z = 3 plane
1
x²-y²=3
V-300 V
xy=-2
3
P(2,-1,3)
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