A 0-200 V voltmeter has an accuracy of 0.75% of full scale reading. If voltage measured is 100 V, the error is3%2%1.5%75%4%

Break Down the Problem

1. Determine the full scale reading of the voltmeter.
2. Calculate the accuracy in volts based on the full scale reading.
3. Calculate the error in relation to the measured voltage of 100 V.

Relevant Concepts

1. Full Scale Reading (FSR) = 200 V.
2. Accuracy = 0.75% of Full Scale Reading.
3. Error Calculation: Error (%) = (Measured Value - Actual Value) / Actual Value × 100.

Analysis and Detail

1. Calculate 0.75% of 200 V: $\text{Accuracy} = 0.0075 \times 200 = 1.5 \text{ V}$

2. The voltmeter's accuracy indicates that the voltmeter can have an error margin of ±1.5 V at a reading of 100 V.

3. Compute the relative error in the measurement:

   • If the actual voltage is 100 V,
   • The error margin could lead to a range from $100 - 1.5 = 98.5 \, \text{V}$ to $100 + 1.5 = 101.5 \, \text{V}$.

Verify and Summarize

1. Relative error based on the measured value of 100 V: $\text{Error Margin} = \frac{1.5 \text{ V}}{100 \text{ V}} \times 100 = 1.5\%$

Therefore, the error for a measurement of 100 V is 1.5%.

Final Answer

The error when measuring 100 V with the voltmeter is 1.5%.