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Exercise:
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.

Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
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Exercise:
Calculate the magnitude of the electric field halfway between two positive po charges qaO and qbO which are dO apart. Determine the force acting on a test charge qtO at this position. Redo the calculations for the case where one of the field-producing charges is negative.

Solution:
The partial electric fields vecE_ and vecE_ of q_ and q_ po in opposite directions. Therefore the net field E is given by E_+ E_-E_ k_Cfracq_-q_r^ k_Cfracq_-q_d/^ EpF timesnckctimesfracqb-qad^ Ep approxEpP A test charge q placed at this po experiences a force sscFE q E_+ qttimesEp FpapproxFpP- If one of the po charges is negative the partial electric field po in the same direction i.e. the net field corresponds to the of their magnitudes: E_- E_+E_ k_Cfracq_+q_r^ k_Cfracq_+q_d/^ EnF timesnckctimesfracqa+qbd^ En approxEnP In this case the test charge experiences a force sscF'E q E_- qttimesEn FnapproxFnP-
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Electrostatics
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electric field, electrostatics
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Language
ENG (English)
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Calculative / Quantity
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