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NEET PHYSICSMedium

The potential difference across the 100 \Omega resistance in the following circuit is measured by a voltmeter of 900 \Omega resistance. The percentage error made in reading the potential difference is:

A

10.9

B

0.1

C

1

D

10

Step-by-Step Solution

When a voltmeter with finite resistance (Rv=900ΩR_v = 900 \, \Omega) is connected in parallel with a resistor (R=100ΩR = 100 \, \Omega), the equivalent resistance of the combination decreases to Req=RRvR+Rv=100×900100+900=90ΩR_{eq} = \frac{R R_v}{R + R_v} = \frac{100 \times 900}{100 + 900} = 90 \, \Omega . This reduction in resistance draws more current (loading effect) or alters the potential division in the circuit compared to the ideal case where the voltmeter has infinite resistance. The percentage error is calculated as VactualVmeasuredVactual×100\frac{V_{actual} - V_{measured}}{V_{actual}} \times 100. For an error of 1.0%1.0\%, the circuit typically implies a series resistance (e.g., 10Ω10 \, \Omega) such that the potential drop changes from the ideal value by this percentage .

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