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    The Magnitude and the Direction of an Electric Field

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    What are the magnitude and direction of the electric field at a point midway between a -8.0 µC and a +6.0 µC charge 4.0 cm apart? Assume no other charges are nearby.

    © BrainMass Inc. brainmass.com December 24, 2021, 7:53 pm ad1c9bdddf
    https://brainmass.com/physics/electric-magnetic-fields/magnitude-direction-electric-field-227310

    SOLUTION This solution is FREE courtesy of BrainMass!

    Let the test charge +q be placed midway on line joining the positions of two charges.

    Force between - 8.0 uC and test charges,F1 = (K 8.0*10^-6*q)/(0.02)^2 N
    Direction of force(attraction) - towards - 8.0 uC charge.

    Force between +6.0 uC and test charge, F2 = (k 6.0*10^-6*q)/(0.02)^2 N
    Direction of force(repulsion) toward -8.0uC charge along the line joining two charges.

    Net force F on the test charge q = F1 + F2
    F = {K*10^-6*q (8 + 6)}/(0.02)^2 N
    F/q ={k*10^-5}/0.0004 ...........................(F/q is force per unit charge= E)
    E = {K*14*10^-6}/(4*10^-4) ........... (1)
    = K*3.5*10^-2 N/C
    = 9*10^9*3.5*10^-2
    = 31.5*10^7 N/C
    = 31.5*10^7 N/C
    = 3.15*10^8 N/C
    E is directed towards the - 8.0 uC charge along the line joining the two charges.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:53 pm ad1c9bdddf>
    https://brainmass.com/physics/electric-magnetic-fields/magnitude-direction-electric-field-227310

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