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Electric Field - A Field of Force

An electric field is defined as being present in any region where a charged object experiences an electric force.  This is a fancy way of saying that the only way we can tell if a field exists is to place a test charge at that spot and see if it feels a force.  (In other words, it takes one to know one.)   The animation below shows a stationary charge (Although we have no way of knowing it is charged until we bring in a test charge.) When a test charge is brought in, a force is present on that charge and so it shows evidence of a field being present.  The closer the test charge is brought to the stationary charge the greater the force.  The greater the force on the test charge, the stronger the field is.

Force animation

As long as we are using the same test charge it is possible to vaguely describe the strength of the field as stronger or weaker.  However, the force that is felt is also dependent on the amount of charge on the test charge.  It is for this reason that the Field intensity equationField Intensity or Field Strength is described as the ratio of Force to the amount of test charge. The field intensity for an electric field is measured in Newtons per Coulomb [N/C].  This describes the amount of force present for every coulomb of charge used as a test charge.  Field Intensity is a vector quantity.  The size of the vector is given by the equation to the left but the direction of the vector is based on the direction of the force felt by a positive test charge.  The field strength equation has no way of specifying the direction of the field, therefore you should ignore any negative signs that get created in your answer.  You must simply look at the region you are calculating the field strength for and then determine the direction that a positive test charge would be forced.

Another very useful hybrid equation can be created by combining the formula for Coulombs law and the formula for field intensity.

Field Intensity(1370 bytes) Coulomb's Law
combine arrow.GIF (222 bytes) common terms
hybrid formula

This lesson continues with electric field mapping.