Question
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  1. Charge is located at and change is at free space The vector force excented on by is
Where is coulomb constant

Ask by Todd Pena. in Singapore
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The vector force on by is approximately .

Solution

To determine the vector force exerted on charge by charge using Coulomb’s Law, we’ll follow these steps:

Given:

  • Charge : located at point
  • Charge : located at point
  • Coulomb’s Constant :

Coulomb’s Law:

where:
  • is the displacement vector from to
  • is the magnitude of

Step 1: Calculate the Displacement Vector

Step 2: Calculate the Distance

Step 3: Apply Coulomb’s Law

Substituting the known values:

Step 4: Calculate the Components

Final Vector Force:

Summary:

The vector force exerted on by is approximately:

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The Deep Dive

To determine the vector force exerted on charge by charge , we first need to calculate the distance between the two charges. The distance can be found using the distance formula:
Plugging in the coordinates, we find . Afterwards, we can apply Coulomb’s law to ascertain the magnitude of the force and the direction by using the unit vector that points from to . The force vector will then combine both magnitude and direction appropriately!
To make it more interesting, think of and as two bickering siblings stuck in a game of tug-of-war: despite their differences, they can’t help but pull each other with a force that depends on how strongly they ‘feel’ about each other! How cool is it to translate their emotions into mathematical expressions?

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