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4 EFieldSuperposition

4 EFieldSuperposition - Craig Ogilvie Craig Ogilvie 11...

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Unformatted text preview: Craig Ogilvie Craig Ogilvie 11 Review Lecture 3 § Electric field as a vector field – each and every point in space, the field has a magnitude and a direction § If a charged particle is placed in the field, it experiences a force § Superposition principle for E-fields A charge creates an electric field at all points in space according to Coulomb’s law. This field is independent of the presence of other charges, and of the nature of the environment. ) , , ( or ) , , ( φ θ r E z y x E E q F = The electric field existing at a point is the vectorial sum of electric fields at this point created by all the existing charges. Craig Ogilvie Worked Problem: Line of charge What is E at P? § Consider each small length dx as being a point charge § Draw the E-field from that point charge Craig Ogilvie 22 P s L Q + + + + + + + + + + + + + + + + + dx dE ∫ ∑ =- = = = 2 / 2 / L x L x line E d E E d E x y Craig Ogilvie Plan: Line of charge § Split field into two components Craig Ogilvie 33 P s L Q + + + + + + + + + + + + + + + + + dx dE y ∫ = E d E x y = = ∫ x x dE E ∫ = y y dE E dE x dE Craig Ogilvie...
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4 EFieldSuperposition - Craig Ogilvie Craig Ogilvie 11...

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