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# 1) Calculate the magnitude of the electric field 2.12m from a point charge of 6.4mC (such...

1) Calculate the magnitude of the electric field 2.12m from a point charge of 6.4mC (such as found on the terminal of a Van de Graaff).
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2) The electric field strength between two parallel conducting plates separated by 7.0cm is 8.5x10^4 V/m. The potential difference between the plates is 6kV. The with the lowest potential is taken to he zero volts. What is the potential 1.1cm from that plate?

1) given that

charge q = 6.4*10^-3 C

distance r = 2.12 m

from the relation

electric field due to a point charge E = kq/r^2

E = 9*10^9*6.4*10^-3/2.12^2 = 12.82*10^6 N/C

2) given

plates separation d = 0.07 m

electric field E = 8.5*10^4 V/m

potential difference = V = 6*10^3 V

from the relation

change in potential = electric field*distance

v-0 = 8.5*10^4*1.1*10^-2

v = 0.935 kV

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