Question

If Z = A/A-B and A and B are measured with error deltaA and deltaB respectively then relative error in Z That is deltaZ/Z is equal to​

Answer 1

Answer:

ΔZ/Z  = ΔA/A  + ΔA/(A-B)  + ΔB/(A-B)

Explanation:

Z = A/A-B

A  = A ± ΔA

B = B ± ΔB

ΔZ/Z  = ΔA/A  + Δ(A-B)/(A-B)

Δ(A-B)  = ΔA ± ΔB

=> ΔZ/Z  = ΔA/A  + (ΔA+ΔB)/(A-B)

=> ΔZ/Z  = ΔA/A  + ΔA/(A-B)  + ΔB/(A-B)

ΔZ/Z  = ΔA/A  + ΔA/(A-B)  + ΔB/(A-B)

Answer 2

Explanation:

can anyone please help me solve it for 1/Z = A-B/A to get deltaZ / Z.