Question

Show the equation:1/R=1/R1+1/R2+1/R3

Answer 1

Answer:

we know that

V= V1 +V2+V3 ; here current is same

according to Ohm law

R = V/I

R1= V1/I

R2= V2/I

R3= V3/I

Now

1/V = 1/V1 + 1/V2 + 1/V3 |

1/RI = 1/IR1 + 1/IR2 + 1/IR3

now , take common 1/I from all

1/RI = 1/I{1/R1+ 1/R2+ 1/R3}}

1/R = 1/R1 + 1/R2 + 1/R3

Hence proved