A galvanometer of resistance 5.0Ω has full-scale deflection for a current of 100mA. How would its range be extended to 1.0A? By placing a resistance of

A.

\(\frac{5}{9}\)\(\Omega\) in parallel

B.

\(\frac{9}{5}\)\(\Omega\) in series

C.

45\(\Omega\) in parallel

D.

45\(\Omega\) in series

E.

\(\frac{9}{5}\)\(\Omega\) in parallel

Correct answer is A

Given Data:
I\(_g\) = 100ma = 0.1A
R\(_g\)=5
where I\(_s\) = I - I\(_g\) → 1 - 0.1

I\(_s\) = 0.9

I\(_g\)R\(_g\) = I\(_s\)R\(_s\)


0.1 * 5 = 0.9 * R\(_s\)
R\(_s\) = \(\frac{0.1 * 5}{0.9}\)

R\(_s\) = \(\frac{5}{9}\)