Question #280980

Calculate the electric field 0.245 cm from a point charge of 25.6 nC.


1
Expert's answer
2021-12-20T10:27:30-0500

The electric field of a point charge is given as follows:


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

where k=9×109Nm2/C2k = 9\times 10^9N\cdot m^2/C^2, q=25.6×109Cq = 25.6\times10^{-9}C, and r=0.245cm=0.00245mr = 0.245cm = 0.00245m. Thus, obtain:


E=9×10925.6×1090.0024523.84×107V/mE = 9\times 10^9\cdot \dfrac{25.6\times 10^{-9}}{0.00245^2} \approx 3.84\times 10^7V/m

Answer. 3.84×107V/m3.84\times 10^7V/m.


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