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Electric Field Property of space around a charged object that causes forces on other charged objects Measuring the Field Intensity of a Charged Object + To determine the intensity of a field, use a test charge q’ at any given point from the object being tested. The test charge is a small positive particle. According to Coulombs Law the closer the test charge the stronger the force The field can be determined by the effects on the test charge in different locations Field Intensity = E = is proportional to the + force on the test charge and inversely proportional to the charge itself. This ratio is independent of the test charge. qq ' k Fkq (on q') r 2 E E 2 r q' q ' The direction is the direction of a positive (+) charge toward a negative (-) charge + + + Test Charge + + Field Line s Field Lines Represent the Intensity and Direction of the Electric Field - Unlike Like Charges Charges Direction of Electric Field The electric field direction is always directed away from positive source charges and towards negative source charges. Electric Field Intensity The greater the number of electric field lines. The greater the field intensity. The density of electric field lines around these three objects reveals that the quantity of charge on C is greater than that on B which is greater than that on A. 1. The closer together the lines of force, the stronger the electric field. 2. The directions of the electric field is tangent to the lines of force. 3. The electric field lines start at positive charges and end on negative charges. 4. The number of lines leaving or entering a charge is proportional to the magnitude of the charge. Conductors and Electric Field Excess charge tends to accumulate at sharp points, or locations of greatest curvature, on charged conductors. The places of highest charge accumulation are where the electric field from the conductor is the largest Electric field is zero everywhere inside a charged conductor Any excess charge on an isolated conductor resides entirely on the surface of the conductor The electric field at the outer surface of a charged conductor is perpendicular to the surface Gauss’s Law for Electric Fields The net number of electric field lines passing through an imaginary surface is proportional to the amount of net charge enclosed within that surface