Question #185549

What  is the electric field due to a point charge of  45  μC   at a distance of 1 meter away from it?   


Expert's answer

The electric field due to a point charge q=45μC=45×10−6Cq = 45\mu C = 45\times 10^{-6}C at distance r=1mr = 1m is given as follows:


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

where k=9×109N⋅m2/C2k = 9\times 10^{9}N\cdot m^2/C^2 is the Coulomb's constant. Thus, obtain:


E=9×109N⋅m2C2⋅45×10−6C(1m)2=4.05×105N/CE = 9\times 10^{9}\dfrac{N\cdot m^2}{C^2}\cdot \dfrac{45\times 10^{-6}C}{(1m)^2} = 4.05\times 10^5N/C

Answer. 4.05×105N/C4.05\times 10^5N/C.


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