Problem: Three negative point charges lie along a line as shown in the figure. Find the magnitude of the electric field this combination of charges produces at point P, which lies 6.00 cm from the -2.00 μC charge measured perpendicular to the line connecting the three charges. (E = N/C)Find the direction of the electric field this combination of charges produces at point P, which lies 6.00 cm from the -2.00 μC charge measured perpendicular to the line connecting the three charges. outward or inward -2.00 μC?

FREE Expert Solution

Electric field due to a point charge:

E=kqr2

rA = rC = (62 + 82)(1/2) = 10 cm(1m/100cm) = 0.1 m

rB = 6 cm(1m/100cm) = 0.06 m

1 μC = 10-6 C

θA = θB = tan-1 (y/x) = tan-1 (8cm/6cm) = 53.1°

View Complete Written Solution
Problem Details

Three negative point charges lie along a line as shown in the figure. 

Find the magnitude of the electric field this combination of charges produces at point P, which lies 6.00 cm from the -2.00 μC charge measured perpendicular to the line connecting the three charges. (E = N/C)

Find the direction of the electric field this combination of charges produces at point P, which lies 6.00 cm from the -2.00 μC charge measured perpendicular to the line connecting the three charges. outward or inward -2.00 μC?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Field concept. You can view video lessons to learn Electric Field. Or if you need more Electric Field practice, you can also practice Electric Field practice problems.