Two charges Q₁ and Q₂ are distance d apart.If the electric field is zero at distance 3d/2 from Q₁ and d/2 from Q₂,along the line joining Q₁ and Q₂,then what is the relation between Q₁ and Q₂? A)Q₁ = 9Q₂ B)Q₁ = -Q₂/9 C)Q₁ = Q₂/3 D)Q₁ = -3Q₂ E)Q₁ = -9Q₂

Question

Quizplus · Accepted Answer

The electric field at a point due to a charge Q at a distance r is given by E = kQ/r^2. If the electric field is zero at a point, it means that the net charge at that point is zero. In this case, the electric field at a distance 3d/2 from Q1 is zero, which means that the net charge at that point is zero. Similarly, the electric field at a distance d/2 from Q2 is zero, which means that the net charge at that point is zero. Therefore, the net charge at a distance 3d/2 from Q1 is equal to the net charge at a distance d/2 from Q2. This means that Q1/9 = Q2, or Q1 = 9Q2.

Two Charges Q1 and Q2 Are Distance D Apart

Two Charges Q₁ and Q₂ Are Distance D Apart