Question 39812: solve E/e=(R+r)/r, solve for r
E/e =(R/r)+1
R/r=(E/e)-1
R/r = (E-e)/e
r/R=e/(E-e)
r=Re/(E-e)
Cheers,
Stan H. Found 2 solutions by fractalier, stanbon:Answer by fractalier(6550) (Show Source):
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E/e = (R+r)/r
cross-multiply
rE = e(R + r)
rE = eR + er
rE - er = eR
r(E - e) = eR
r = eR / (E - e)