Simple electric field strength problem

In summary, an electric field strength is a measure of the force experienced by a charged particle in an electric field, represented by the symbol E and measured in units of volts per meter (V/m). It is calculated by dividing the force experienced by a charged particle by the magnitude of its charge, using the equation E = F/q. A simple electric field strength problem involves calculating it at a specific point in space based on the properties of a charged particle. Real-world applications of electric field strength include electronics, telecommunications, and medical imaging. Distance affects electric field strength according to Coulomb's Law, with it decreasing as the distance between charged particles increases.
  • #1
liamporter1702
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Homework Statement



How far away from a 360μC charged particle is the electric field strength 49mN/C?

Homework Equations


E=(8.99x10[itex]^{9}[/itex] x [itex]\frac{Q}{r^{2}}[/itex]

The Attempt at a Solution


I assumed it would be a simple case of rearranging the equation to give r=[itex]\sqrt{\frac{8.99x10^{9}xQ}{E}}[/itex] but after doing this and subbing in the values I got a value of 8127, which is clearly not correct. The answer that has been given is 186mm but I can't see the solution.
 
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  • #2
Could it be a case of the answer given is not correct?
 

What is an electric field strength?

An electric field strength is a measure of the force experienced by a charged particle in an electric field. It is represented by the symbol E and is measured in units of volts per meter (V/m).

How do you calculate electric field strength?

Electric field strength is calculated by dividing the force experienced by a charged particle in an electric field by the magnitude of the charge of the particle. This can be represented by the equation E = F/q, where E is the electric field strength, F is the force, and q is the charge of the particle.

What is a simple electric field strength problem?

A simple electric field strength problem involves calculating the electric field strength at a specific point in space given the magnitude and direction of the electric field, as well as the charge and position of a particle.

What are some real-world applications of electric field strength?

Electric field strength is used in a wide range of applications, including electronics, telecommunications, and medical imaging. It is also an important factor in understanding the behavior of charged particles in space, such as the Earth's magnetosphere.

How does distance affect electric field strength?

According to Coulomb's Law, the electric field strength is inversely proportional to the square of the distance between two charged particles. This means that as the distance between two charged particles increases, the electric field strength decreases.

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