2020-11-08T01:41:13-05:00
A −1.00-nC point charge is at the origin, and a +4.00-nC
point charge is on the
1
2020-11-10T06:56:02-0500
a)
E ( 3 ) = ( 9 ⋅ 1 0 9 ) ( 4 ⋅ 1 0 − 9 ) ( 3 − 2 ) 2 − ( 9 ⋅ 1 0 9 ) ( 1 ⋅ 1 0 − 9 ) ( 3 − 0 ) 2 = 35 N C E(3)=(9\cdot10^{9})\frac{(4\cdot10^{-9})}{(3-2)^2}-(9\cdot10^{9})\frac{(1\cdot10^{-9})}{(3-0)^2}=35\frac{N}{C} E ( 3 ) = ( 9 ⋅ 1 0 9 ) ( 3 − 2 ) 2 ( 4 ⋅ 1 0 − 9 ) − ( 9 ⋅ 1 0 9 ) ( 3 − 0 ) 2 ( 1 ⋅ 1 0 − 9 ) = 35 C N
b)
E ( 1 ) = − ( 9 ⋅ 1 0 9 ) ( 4 ⋅ 1 0 − 9 ) ( 1 − 2 ) 2 − ( 9 ⋅ 1 0 9 ) ( 1 ⋅ 1 0 − 9 ) ( 1 − 0 ) 2 = − 45 N C E(1)=-(9\cdot10^{9})\frac{(4\cdot10^{-9})}{(1-2)^2}-(9\cdot10^{9})\frac{(1\cdot10^{-9})}{(1-0)^2}\\=-45\frac{N}{C} E ( 1 ) = − ( 9 ⋅ 1 0 9 ) ( 1 − 2 ) 2 ( 4 ⋅ 1 0 − 9 ) − ( 9 ⋅ 1 0 9 ) ( 1 − 0 ) 2 ( 1 ⋅ 1 0 − 9 ) = − 45 C N
c)
E ( − 2 ) = − ( 9 ⋅ 1 0 9 ) ( 4 ⋅ 1 0 − 9 ) ( − 2 − 2 ) 2 + ( 9 ⋅ 1 0 9 ) ( 1 ⋅ 1 0 − 9 ) ( − 2 − 0 ) 2 = 0 N C E(-2)=-(9\cdot10^{9})\frac{(4\cdot10^{-9})}{(-2-2)^2}+(9\cdot10^{9})\frac{(1\cdot10^{-9})}{(-2-0)^2}\\=0\frac{N}{C} E ( − 2 ) = − ( 9 ⋅ 1 0 9 ) ( − 2 − 2 ) 2 ( 4 ⋅ 1 0 − 9 ) + ( 9 ⋅ 1 0 9 ) ( − 2 − 0 ) 2 ( 1 ⋅ 1 0 − 9 ) = 0 C N
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