Current Electricity Charging Discharging Of Capacitors Question 149

Question: A microammeter has a resistance of $ 100,\Omega $ and full scale range of $ 50,\mu A $ . It can be used as a voltmeter or as a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination

[SCRA 1996; AMU (Med.) 2001; Roorkee 2000]

Options:

A) 50 V range with $ 10,k\Omega $ resistance in series

B) 10 V range with $ 200,k\Omega $ resistance in series

C) 10 mA range with $ 1,\Omega $ resistance in parallel

D) 10 mA range with $ 0.1,\Omega $ resistance in parallel

Show Answer

Answer:

Correct Answer: B

Solution:

To convert a galvanometer into an ammeter, a shunt $ S=\frac{I _{g}}{I-I _{g}}G $ is connected in parallel with it. To convert a galvanometer into a voltmeter, a resistance $ R=\frac{V}{I _{g}}-G $ is connected in series with it.