Question

Assume that I=E(R+r), prove that 1/I=R/E + r/E

Answer 1

Answer:

I=E/(R+r)

multiply both sides by (R+r)

(R+r)(I)=(R+r)(E)/(R+r)

(R+r) cancels on the right side

(R+r)(I)=(E)

divide both sides by I

(R+r)(I)/I=E/I

now take (R+ r ) in next side

1/ I = R/E + r/E

proved