High School

Thank you for visiting Two charges 9 68 microcoulombs and 1 70 microcoulombs are placed on a straight line 8 25 meters apart Calculate the magnitude of the electric. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Two charges, 9.68 microcoulombs and 1.70 microcoulombs, are placed on a straight line 8.25 meters apart. Calculate the magnitude of the electric field halfway between the two particles.

Answer :

Final answer:

The magnitude of the electric field halfway between the two charges is approximately 1.31 x 10^5 N/C.

Explanation:

To calculate the magnitude of the electric field halfway between the two charges, we can use the formula:

E = k × |q1 - q2| / r

where:

  • E is the magnitude of the electric field
  • k is the electrostatic constant (9 × 10^9 N m^2/C^2)
  • q1 and q2 are the charges
  • r is the distance between the charges

In this case, q1 = 9.68 microcoulombs, q2 = 1.70 microcoulombs, and r = 8.25 meters. Plugging these values into the formula, we get:

E = (9 × 10^9 N m^2/C^2) × |9.68 × 10^-6 C - 1.70 × 10^-6 C| / (8.25 / 2)

Simplifying this expression, we find that the magnitude of the electric field halfway between the charges is approximately 1.31 × 10^5 N/C.

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Rewritten by : Jeany