Question

7. Calculate the percentage error in value of R if V =(50 ±5)V and I = (5 ± 1)A

Answer 1

Given :-

V = (50±5)V

I = (5±1)A

As we know that,

R = V/I

Now Percentage error,

% ∆R/R = (∆V/V + ∆I/I)×100

% ∆R/R = (5/50 + 1/5)×100

% ∆R/R = (1+2/10)×100

% ∆R/R = 30%

Hence,

Error = % ∆R/R = 30%

Answer 2

Explanation:

Given :-

V = (50±5)V

I = (5±1)A

As we know that,

R = V/I

Now Percentage error,

% ∆R/R = (∆V/V + ∆I/I)×100

% ∆R/R = (5/50 + 1/5)×100

% ∆R/R = (1+2/10)×100

% ∆R/R = 30%

Hence,

Error = % ∆R/R = 30%