Question

2. 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

Hey Dear,

◆ Answer -

Resistance = 6 ± 1.143 ohm

● Explaination -

# 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.

Best luck, buddy.