The electrostatic field strength of a proton at distance r is E1. What would be the strength of the field, E2 when the distance is doubled?
We know that
Electric field
Eα1r2E\alpha\frac{1}{r^2}Eαr21
We can written as
E1E2=r22r12\frac{E_1}{E_2}=\frac{r_2^2}{r_1^2}E2E1=r12r22
r2=2r1r_2=2r_1r2=2r1
Put value
E1E2=(2r1r1)2=4\frac{E_1}{E_2}=(\frac{2r_1}{r_1})^2=4E2E1=(r12r1)2=4
E2=E14E_2=\frac{E_1}{4}E2=4E1
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