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## An electric dipole is a pair of point charges with equal magnitude & opposite si

Allen, Anna, Features Editor has reference to this Academic Journal, PHwiki organized this Journal An electric dipole is a pair of point charges with equal magnitude & opposite signd+q-qWe investigate the dipole properties as long as various reasons:-as an important example as long as the concept of superposition of electric fields in addition to the concept of field lines-as a preparation as long as the discussion of antenna, polar molecules, dielectrics, -to apply the concepts of as long as ce, torque in addition to potential energyq1=+qq2=-qThe total electric field E(r) is given by the superposition E(r)= E1(r) + E2(r)Lets explore a few points graphicallyAnalytically in the x-y-plane:Special case x=0:Special case y=0:If we know electric field in coordinate system S how do we express it in coordinate system S To answer this question we have to look at the description of the position vector r in the two coordinate systemsr =(x,y)r =(x,y)dr=d+rE ( r ) =E ( r-d )

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Lets apply this trans as long as mation scheme to the electric field of a point chargeExpressed in coordinatesd=(d,0,0)Usingr=r-dAs an exercise with relevant application lets explore an approximate expression of the electric dipole-field on the x-axis as long as x>>dq1=+qq2=-q(x,y=0)dWe inspect the x-component of neglecting quadratic terms in d since x>>dwhich here has only a x-componentVector fields such as the E-field are somewhat abstract in addition to hard to pictureThe concept of field lines can help us outProperties of field lines:Imaginary curve such that tangent at any point is along the E-field in this pointdensity of field lines in a given region allows to picture the magnitude of the E-fieldAt any particular point in space the E-field has a well defined directionOnly one field line can pass through each point Field lines never crossfield lineE-fieldIn this point

Some examplesLike the E-field, field lines point away from positive charges Closer to the charge, where E-field is stronger, higher density of field lines meaning more lines per volumeE-field vector tangent to field linesSame properties can be found in other examplesDemonstration5B10.40The figure shows four possible arrangements of two identical electric dipoles with dipole moment p1 in addition to p2. For which arrangement(s) are the 2 dipoles attracted to each other1=A on clicker) A2=B on clicker) B in addition to C3=C on clicker) C4=D on clicker) A in addition to D8=E on clicker) B in addition to CClicker question

Water is a polar molecule that in good approximation is described as a dipole Our definition of the electric dipole momentensures that p is directed from the negative end to the positivep Field lines of a homogeneous E-field Torque:Total as long as ce:Torque on an electric dipole in a field withLets calculate the work done by the electric field on the dipole on rotationFrom: WithPotential energy U of a dipole in E-field

## Allen, Anna Features Editor

Allen, Anna is from United States and they belong to Cypress Chronicle and they are from Cypress, United States got related to this Particular Journal. and Allen, Anna deal with the subjects like Features/Lifestyle; Student/Alumni Interest

## Journal Ratings by Marian University

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