How do I find the electric field of a charged strip of tape?

AI Thread Summary
To find the electric field of a charged strip of tape, one can model it as a line of charge and integrate over its length. The tape has a uniform charge of -45 nC and dimensions of 1 cm by 20 cm, with the electric field needing to be calculated 3.5 cm above the centerline at the right edge. The electric field is a vector quantity, requiring consideration of its components, including vertical and horizontal directions. The approach involves writing the electric field equation for a point charge and integrating it across the tape's length. This method will yield the desired electric field at the specified location.
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Homework Statement

A strip of magic tape 1 cm by 20 cm is charged uniformly with a net charge of -45 nC. The tape is stuck onto a table. Find the electric field 3.5 cm above the centerline of the tape, at the right hand edge. You may need to write a computer program to evaluate the field.

Homework Equations


The Attempt at a Solution



Basically, I think i can find the magnitude of the electric force by finding the electric field of a line of charge and integrating over the length of the tape, but I don't know how to split this up into components.

Any help would be appreciated...
 
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Not sure what components you have in mind. Electric field is a vector, so it has three components. In this case, those might be the vertical component, the length-wise component. and the width-wise component. You just need to write the equation of the electric field at a the right-most point at the center-line caused by a point charge somewhere in the strip, the integrate.
 
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