Question

A current of 3.5 ± 0.5 A flows through metallic conductor with a potential difference of 21 ± 1 V is applied. Find the resistance of the wire.​

Answer 1

Answer :-

Resistance = 6 ± 1.143 ohm

Explanation :-

Given :-

• I = 3.5 A
• ∆I = 0.5 A
• V = 21 V
• ∆V = 1 V

Solution :-

To make this simple, we'll calculate mean resistance & mean error separately.

Mean resistance of the metallic conductor is calculated by -

R = V / I

→ R = 21 / 3.5

→ R = 6 ohm

Relative error in calculating resistance can be calculated as -

∆R / R = ∆V / V + ∆I / I

→ ∆R / R = 1 / 21 + 0.5 / 3.5

→ ∆R / R = 4 / 21

→ ∆R = 4 / 21 × R

→ ∆R = 4 / 21 × 6

→ ∆R = 8 / 7

→ ∆R = 1.143 ohm

From this,

R + ∆R = 6 ± 1.143 ohm

Therefore, Resistance of the Metallic Conductor is 6 ± 1.143 ohm.

Thanks ...