Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

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 

Options:

Rv = 5R                                        

Rv = 15 R

Rv = 10 R 

$R_v \ge 19 R$

Correct Answer:

$R_v \ge 19 R$

Explanation:

$ \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$