Need help with an Electric Field Question

In summary, the question asks for the magnitude and direction of the force acting on a -12 uC charge in an electric field of 150,000 N/C pointing north. The solution is -1.8 N to the south, determined by multiplying the electric field magnitude by the charge magnitude and taking into account the direction of the charge.
  • #1
KenG3586
1
0
I need help with what seems to be a simple Electric filed question. I want to mak3 sure that the explanation (attempt at a solution) is sound and make sense. Thanks!

1. Homework Statement

If an electric field of magnitude 150,000 N/C points due north at a certain spot, what is the magnitude and direction of the force that acts on a charge of -12 uC?

Homework Equations


E = F / q0

The Attempt at a Solution



Correct answer: 1.8 N to the south

First, we need to determine the magnitude of the force acting on the charge. Multiply the magnitude of the electric field (E) by the magnitude of the test charge (q0). Because the charge is negative, it acts opposite to the direction of the electric field.

E = F / q0
Convert to solve for F:
F = Eq0
F = (150,000 N/C) × (-12 uC) -- [remember that 1 uC is 1 × 10^-6 C]
F = (150,000 N/C) × (-0.000012)
F = -1.8 N
The negative sign in the answer indicates the direction of the force of the field.
F = 1.8 N to the south.
 
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  • #2
Hello Ken, :welcome: !

True enough. Good posting. There's no question ?

[edit] Ah, you want a stamp "Approved by PF!"

Unfortunately, those stamps don't exist (they wouldn't really have any value: teachers are almost above the law).
But if they would exist, you sure would be the first in line to get your work stamped thay way :smile:
 

FAQ: Need help with an Electric Field Question

What is an electric field?

An electric field is a physical quantity that describes the influence of an electric charge on other electric charges. It is represented by a vector and is measured in units of newtons per coulomb (N/C).

How is the strength of an electric field determined?

The strength of an electric field is determined by the magnitude of the electric charge creating the field and the distance from that charge. The closer an object is to the source of the electric field, the stronger the field will be.

What is the direction of an electric field?

The direction of an electric field is always away from positive charges and towards negative charges. This is because positive charges repel each other and negative charges attract each other.

How is an electric field calculated?

An electric field is calculated by dividing the force exerted on a test charge by the magnitude of the test charge. This can be represented by the equation E = F/Q, where E is the electric field, F is the force, and Q is the test charge.

What are some real-life applications of electric fields?

Electric fields have many practical applications, such as in electronics, where they are used to control the flow of electricity through circuits. They are also used in medical devices, such as MRI machines, and in everyday objects like hair dryers and electric toothbrushes.

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