Four electric fields,E₁,E₂,E_3, and E₄ are produced at four different points,1,2,3,and 4 by charges q,2q,q,and 2q,respectively.If the distances of the four points from the charges are 10,10,20,and 20 cm,respectively,rank in order from largest to smallest their electric field strengths.

Question

Quizplus · Accepted Answer

The electric field strength (E) due to a point charge (q) is given by E = kq/r^2, where k is Coulomb's constant and r is the distance from the charge. For points 1 and 3 (with charges q and q, respectively), the electric field strength at point 1 will be greater than at point 3 because they have the same charge but point 1 is closer. For points 2 and 4 (with charges 2q and 2q, respectively), the electric field strength at point 2 will be greater than at point 4 for the same reason. Comparing points 1 and 2 (or 3 and 4), the electric field strength at point 2 (or 4) will be greater because the charge is double that at point 1 (or 3), and they are at the same distance. Therefore, the ranking from largest to smallest electric field strengths is ES2 > ES1 > ES4 > ES3.

Four Electric Fields,E1,E2,E3, and E4 Are Produced at Four Different

Four Electric Fields,E₁,E₂,E_3, and E₄ Are Produced at Four Different