Electric Field Video Lessons

Concept

# Problem: Four charges are situated as shown in the diagram (each grid line is separated by 1 meter). The two upper charges have a charge of +2 μC (+2×10-6 C). The two lower charges have a charge of-2 μC (-2x10-6 C).1. What is the magnitude of the net electric field at the point (0, 0)? a) 0 N/Cb) 2,250 N/Cc) 3,182 N/Cd) 6,364 N/Ce) 9,000 N/C 2) What is the net electric potential at the point (0, 2) on the positive y-axis? a) -19,900 Vb) -9,950 vc) 0 Vd) 9,950 Ve) 19,900 V 15) How much work would it take to bring a 5th charge of +2 μC from very far away to the origin? a) 0 Jb) 0.036 Jc) 0.144 Jd) 18,000 Je) 72,000J

###### FREE Expert Solution

1.

Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{{\mathbf{r}}^{\mathbf{2}}}}$

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###### Problem Details

Four charges are situated as shown in the diagram (each grid line is separated by 1 meter). The two upper charges have a charge of +2 μC (+2×10-6 C). The two lower charges have a charge of-2 μC (-2x10-6 C).

1. What is the magnitude of the net electric field at the point (0, 0)?

a) 0 N/C
b) 2,250 N/C
c) 3,182 N/C
d) 6,364 N/C
e) 9,000 N/C

2) What is the net electric potential at the point (0, 2) on the positive y-axis?

a) -19,900 V
b) -9,950 v
c) 0 V
d) 9,950 V
e) 19,900 V

15) How much work would it take to bring a 5th charge of +2 μC from very far away to the origin?

a) 0 J
b) 0.036 J
c) 0.144 J
d) 18,000 J
e) 72,000J