Answer:
1. the electric potential energy of the electron when it is at the midpoint is - 2.9 x J
2. the electric potential energy of the electron when it is 10.0 cm from the 3.00 nC charge is - 5.04 x J
Explanation:
given information:
= 3 nC = 3 x
C
= 2 nC = 2 x
C
r = 50 cm = 0.5 m
the electric potential energy of the electron when it is at the midpoint
potential energy of the charge, F
F = k
where
k = constant (8.99 x )
electron charge, = - 1.6 x
C
since it is measured at the midpoint,
r =
= 0.25 m
thus,
F =
= k + k
= (
)
= (8.99 x )( - 1.6 x
)(3 x
+2 x
)/0.25
= - 2.9 x J
the electric potential energy of the electron when it is 10.0 cm from the 3.00 nC charge
= 10 cm = 0.1 m
= 0.5 - 0.1 = 0.4 m
F = k + k
= (
+
)
= (8.99 x )( - 1.6 x
)(3 x
/0.1+2 x
/0.4)
= - 5.04 x J