Question

If v=(10+-0.2)volt and I=(5+-0.1) amper

Answer 1

Answer:

2+-0.04

Explanation:

it is given using the law of error analysis.

we know that r=v/i.

therefore now, using error analysis to get the max. possible error in r.

(delta r)/r=(delta v)/v+(delta i)/i

by error analysis formula .

so we get ,

(delta r)/r= 0.2/10+0.1/5(see here the sign of the error is always positive i.e, all the errors will be added in the same way of they are in division).

(delta r)/r=0.04.

And by r=v/i.

we get r=10/5=2ohm.

Therefore the ans is: r=2+-0.04