Question

A current of 3.5+05 amphere flows
through metallic conductor and a
potential difference of 21 t 1 volts is
applied find the resistance of the
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Answer 1

Answer:

Explanation:

According to Ohm's law , V = IR

V is potential difference

R is resistance

I is current through the wire.

To find resistance use formula, R = V/I

Given, I = (3.5 ± 0.5)A

And V = (21 ± 1) v

Value of R without including error , R = V/I = 21/3.5 = 6 ohm.

Now,

To find error, use formula

∆R/R = ∆V/V + ∆I/I

Here, R = 6, ∆V = 1, V = 21 , ∆I = 0.5 and I = 3.5

So, ∆R/6 = 1/21 + 0.5/3.5

Or, ∆R = 6(1/21 + 1/7) = 6 × 4/21

= 24/21 = 8/7 ≈ 1.1428

Hence,

Resistance = (6 ± 1.1428) Ohm.

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