How many excess electrons must be added to a plastic solid sphere that has a diameter of 0.26 m to produce an electric field of 1030 N/C at the edge of the surface? Assuming the charge is uniform, what is the electric field at 10 cm from the center?
Charge
"Q=4\\pi\\epsilon_0R^2E"
Put value
Number of electrons
"N=\\frac{Q}{1.6\\times10^{-19}}"
Put value
"N=\\frac{1.9341\\times10^{-9}}{1.6\\times10^{-19}}=1.20\\times10^{10}"
Now electric field inside the sphere
"E_i=\\frac{kQr}{R^3}"
"E_i=\\frac{9\\times10^9\\times1.934\\times10^{-9}\\times0.1}{0.13^3}"
Ei=792.26 N/C
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