An electric dipole with dipole moment p = 6 × 10¯5 C · m sets up an electric field (in newtons per coulomb) kp -(3xz, 3yz, 2z² – x² - y²) r5 F(x, y, z) = 1/2 where r = (x² + y² + 2²)¹22 with distance in meters and k = 8.99 × 10⁹ N-m². Calculate the work against F required to move a particle of charge q = 0.01 C from (1, -5,0) to (4, 2, 2). Note: The force on q is qF newtons. (Use decimal notation. Give your answer to one decimal place.) W≈ J

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An electric dipole with dipole moment p = 6 × 10-5 C · m sets up an electric field (in newtons per coulomb)
kp
p5
-(3xz, 3yz, 2z² – x² - y²)
F(x, y, z) =
where r = (x² + y² + z2²)¹/² with distance in meters and k = 8.99 × 10⁹ Nm². Calculate the work against F required to move a
particle of charge q = 0.01 C from (1, -5,0) to (4, 2, 2).
Note: The force on q is qF newtons.
(Use decimal notation. Give your answer to one decimal place.)
W≈
J
Transcribed Image Text:An electric dipole with dipole moment p = 6 × 10-5 C · m sets up an electric field (in newtons per coulomb) kp p5 -(3xz, 3yz, 2z² – x² - y²) F(x, y, z) = where r = (x² + y² + z2²)¹/² with distance in meters and k = 8.99 × 10⁹ Nm². Calculate the work against F required to move a particle of charge q = 0.01 C from (1, -5,0) to (4, 2, 2). Note: The force on q is qF newtons. (Use decimal notation. Give your answer to one decimal place.) W≈ J
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