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| 184_notes:e_b_summary [2020/08/23 22:22] – dmcpadden | 184_notes:e_b_summary [2021/06/16 22:26] – [Static Electric Fields] bartonmo |
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| In the beginning of the semester, we talked about how [[184_notes:charge|electric charges]] created electric fields. We talked specifically about the [[184_notes:pc_efield|electric field from point charges]] which points radially outwards for positive charges (or radially inward for negative charges). We then used both computational methods (VPython code) and analytical methods (integration) to find the electric field for [[184_notes:line_fields|lines of charge]], [[course_planning:184_projects:f18_project_3|planes of charge]], and [[184_notes:dist_charges|volumes of charge (cylinders and spheres)]]. In each of these cases, we found that the electric field would still point away from positive charges and toward negative charges. | In the beginning of the semester, we talked about how [[184_notes:charge|electric charges]] created electric fields. We talked specifically about the [[184_notes:pc_efield|electric field from point charges]] which points radially outwards for positive charges (or radially inward for negative charges). We then used both computational methods (VPython code) and analytical methods (integration) to find the electric field for [[184_notes:line_fields|lines of charge]], [[course_planning:184_projects:f18_project_3|planes of charge]], and [[184_notes:dist_charges|volumes of charge (cylinders and spheres)]]. In each of these cases, we found that the electric field would still point away from positive charges and toward negative charges. |
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| {{184_notes:efieldvectors.png?250|Electric Field from a point charge}}{{184_notes:efieldplates.png?300|Electric field between two plates of charge}}{{184_notes:insulatorcylinderefield.png?150|Electric field inside and around a cylindrical insulator}}{{184_notes:conductorsphereefield.png?250|Electric Field inside and around a conducting sphere}} | {{:184_notes:efieldvectors_new.png?250|Electric Field from a point charge}}{{184_notes:efieldplates.png?300|Electric field between two plates of charge}}{{184_notes:insulatorcylinderefield.png?150|Electric field inside and around a cylindrical insulator}}{{184_notes:conductorsphereefield.png?250|Electric Field inside and around a conducting sphere}} |
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| The [[184_notes:pc_force|electric force]] was then defined by how a charge would interact with an electric field: $\vec{F}_{E}=q\vec{E}$. Because the charge is a scalar value, the electric force will always point either in the same direction as the electric field (for positive charges) or opposite the electric field (for negative charges), which will cause the charge to accelerate. Since the path that the charges follow is in the same direction as the electric force, we can [[184_notes:pc_vefu|relate the electric force]] to a change in [[184_notes:pc_energy|electric potential energy]] or to a change in [[184_notes:pc_potential|electric potential.]] | The [[184_notes:pc_force|electric force]] was then defined by how a charge would interact with an electric field: $\vec{F}_{E}=q\vec{E}$. Because the charge is a scalar value, the electric force will always point either in the same direction as the electric field (for positive charges) or opposite the electric field (for negative charges), which will cause the charge to accelerate. Since the path that the charges follow is in the same direction as the electric force, we can [[184_notes:pc_vefu|relate the electric force]] to a change in [[184_notes:pc_energy|electric potential energy]] or to a change in [[184_notes:pc_potential|electric potential.]] |