Describe how you would determine the force on a test charge due to three fixed c

Question

Describe how you would determine the force on a test charge due to three fixed charges if you already<br />know the electric field due to each fixed charge at the location of the test charge.<br />

Explanation / Answer

Let the three fixed charges be q1,q2 and q3 respectively Let the test charge be qo Let the test charge be at distances r1,r2 and r3 from the charges q1,q2 and q3 respectively where r1 > r2 > r3 The electric field due to the three charges at the location of the test charge are E1 = ke * (q1/r1^2) where ke = (1/4pieo) = 9 * 10^9 Nm^2/C^2, E2 = ke * (q2/r2^2) and E3 = ke * (q3/r3^2) The net electric field at the location of the test charge is Enet = E1 + E2 + E3 Therefore,the force on the test charge due to the three charges is F = Enet * qo

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