Solving an Electric Field Problem: Magnitude & Direction of Force on a Charge

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An electric field of 281,000 N/C points west, and the force on a charge of -7.4 µC is calculated using the formula F = qE, resulting in -2.0794 N. The negative sign indicates that the force direction is opposite to the electric field, meaning it acts due east. The discussion clarifies that while the magnitude is positive, the negative sign reflects the force's direction. Understanding vector signs is crucial for interpreting the results correctly. The final conclusion emphasizes the importance of recognizing how charge polarity affects force direction.
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Homework Statement



An electric field of 281,000 N/C points due west at a certain point. What are the magnitude and direction of the force that acts on a charge of -7.4 µC at this spot?

Homework Equations





The Attempt at a Solution



I just took (-7.4*10^-6)*281000

...to get -2.0794 N, and that seems incorrect.

please help me with this.
 
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The answer you have is correct because the Force is given by:

<br /> F = qE<br />

which is exactly what you did. Does your textbook [or whatever] say something else? Because there is no calculation error either [http://tinyurl.com/35fzsu].

Also, as you've got a (-) sign, the direction of the force will be opposite to that of the field i.e. due east.
 
oh, that's what it was. The negative sign. That is not supposed to be there, apparently.

thankyou.
 
rcmango said:
oh, that's what it was. The negative sign. That is not supposed to be there, apparently.

Actually, the sign is supposed to be there [or not be there]. Basically, it depends on what we are talking about. When we are concerned with a vector, we talk about it's magnitude and direction. If you were asked purely the magnitude, it is always greater than 0 i.e. +ive. But, the (-) sign indicates the direction. If I say that the force is -10N due west, it means that the force was 10N due east.
 
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