To measure a potential difference across a resistor of resistance R W a voltmeter of resistance Rv is used. To measure the potential with a minimum accuracy of 95 % then |
Rv = 5R Rv = 15 R Rv = 10 R $R_v \ge 19 R$ |
$R_v \ge 19 R$ |
$ \text{Let Initial current is I}$ $\text{After voltmeter was inserted the current through resistor R is } I'= I \frac{R_v}{R+R_v} \ge 0.95I$ $ \frac{R_v}{R+R_v} \ge 0.95 $ $ R_v \ge 0.95 R + 0.95 R_v$ $ \Rightarrow 0.05 R_v \ge 0.95R $ $ \Rightarrow R_v \ge 19R$ |