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23.4 The Electric Field Nadiah Alenazi 1 23.4 The Electric Field The electric field vector E at a point in space is defined as the electric force Fe acting on a positive test charge q0 placed at that point divided by the test charge: Nadiah Alenazi 2 If qo is positive, the force is in the same direction as the field. If qo is negative, the force and the field are in opposite directions. The vector E has the SI units of newtons per coulomb (N/C). Nadiah Alenazi 3 According to Coulomb’s law, the force exerted by q on the test charge qo is where rˆ is a unit vector directed from q toward q0. Because the electric field at P, the position of the test charge, is defined by E=Fe/q0, we find that at P, the electric field created by q is at any point P, the total electric field due to a group of source charges equals the vector sum of the electric fields of all the charges. Nadiah Alenazi 4 Example 23.5 Electric Field Due to Two Charges Nadiah Alenazi 5 Nadiah Alenazi 6