Question #250616

Calculate the electric field that a test charge will experience at a distance of 2.04 x 10^-3 m from the source charge of 5.02 x 10^-13 C.


1
Expert's answer
2021-10-13T09:07:20-0400

The electric field produced by a point charge is given as follows:


E=kqr2E = k\dfrac{q}{r^2}

where k=9×109Nm2/C2k = 9\times 10^{9}Nm^2/C^2 is the Coulomb constant, q=5.02×1013Cq = 5.02\times 10^{-13}C is the charge, and r=2.04×103mr = 2.04\times 10^{-3}m is the distance from the source charge. Thus, obtain:


E=9×109Nm2/C25.02×1013C(2.04×103m)21.09×103N/CE = 9\times 10^{9}Nm^2/C^2\cdot \dfrac{5.02\times 10^{-13}C}{(2.04\times 10^{-3}m)^2} \approx 1.09\times 10^3N/C

Answer. 1.09×103N/C1.09\times 10^3N/C.


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