Question

Potential difference between two points is 80 plus minus 4 volt and current is 5 + - 0.05 find the residence and percentage error in value of r

Answer 1

Answer:

Residence=16 ohm,%error =±6%

Explanation:

V=(80±4)

I=(5±0.05)

R=V/I

=80/5

16

therefore R=16 ohmy

now,

∆R/R=±[∆V/V +∆I/I]

=±[4/80+0.05/5]

=±6/100

=±0.06

∆R=R×0.06

∆R=±16×0.06

=0.96 ohm

%error=∆R/R×100

=0.96/16×100

=0.06×100

%errer =±6%

Answer 2

Answer: Value of resistance is 16 Ω with 6 % error.

Explanation:

Resistance = Potential difference / Current

Potential difference (V) =  80 ± 4 Volts

Current =  5 ± 0.05 Amperes

$R = \frac{V}{I}$

$R = \frac{80}{5}$ Ω

R = 16 Ω

$R = \frac{V}{I}$

(ΔR/R)  =  (ΔV/V)  +  (ΔI/I)

(ΔR/R)  =  (4/80)   +    (0.05/5)

(ΔR/R)   =  0.06

Error percentage =  (ΔR/R)  × 100

Error percentage =  0.06 × 100  = 6  

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