Question #185548

Calculate the strength and direction of the electric field  E  due to a point charge point charge of 5.0  nC   at a distance of 8.00 mm from the charge. 


1
Expert's answer
2021-04-28T09:56:06-0400

The electric field due to a point charge q=5nC=5×109Cq = 5n C = 5\times 10^{-9}C at distance r=8mm=0.008mr = 8mm = 0.008m is given as follows:


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

where k=9×109Nm2/C2k = 9\times 10^{9}N\cdot m^2/C^2 is the Coulomb's constant. Thus, obtain:


E=9×109Nm2C25×109C(0.008m)27×105N/CE = 9\times 10^{9}\dfrac{N\cdot m^2}{C^2}\cdot \dfrac{5\times 10^{-9}C}{(0.008m)^2} \approx 7\times 10^5N/C

Answer. 7×105N/C7\times 10^5N/C.


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