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An ammeter of range 0-25 Amp has an accuracy of 1% of full-scale reading. The current measured by the ammeter is 5 Amp. The percentage limiting error in the reading is:
1. 2%
2. 2.5%
3. 4%
4. 5%

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Correct Answer - Option 4 : 5%

Concept of Limiting error:

Limiting error is defined as the difference between the measured quantity (Am) and the true quantity (At).

Limiting error LE = Am - At 

%Limiting error (%LE):

It can be calculated as the ratio of limiting error to the true quantity.

%LE = \(\frac{A_m -A_t }{A_t } \times 100\)

Guaranteed accuracy error (GAE):

It can be calculated as the ratio of limiting error to the full-scale value.

% GAE = \(\frac{Limiting\ error}{Full\ scale\ reading}\times 100=\frac{A_m -A_t }{Full\ scale\ reading} \times 100\)

Calculation:

Given that,

Full-scale reading = 25 A

% GAE = 1 %

True value of ammeter = At

% GAE = \(\frac{L E}{FSR}\times 100=\frac{A_m -A_t }{FSR} \times 100\)

Where, FSR is Full scale reading

⇒ 1 = (Limiting error / 25 ) x 100

∴ Limiting error = 0.25 A

% LE = (Limiting error / True value) x 100

⇒ % LE = (0.25 / 5) x 100

∴ % Limiting error = 5 %

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