For designing a voltmeter of range 50V and an ammeter of range 10mA...

For designing a voltmeter of range $50V$ and an ammeter of range $10mA$ using a galvanometer which has a coil of resistance $54 Ω$ showing a full scale deflection for $1mA$ as in figure.

For designing a voltmeter of range 50V and an ammeter of range 10mA using a galvanometer which has a coil of resistance

(A) for voltmeter $R \approx 50k Ω$

(B) for ammeter $r \approx 0 . 2 Ω$

(D) for voltmeter $R \approx 5k Ω$

(E) for voltmeter $R \approx 500 Ω$

Choose the correct answer from the options given below:

Options

A $\left(A\right)$ and $\left(C\right)$
B $\left(C\right)$ and $\left(E\right)$
C $\left(C\right)$ and $\left(D\right)$
D $\left(A\right)$ and $\left(B\right)$

Correct answer

A. $\left(A\right)$ and $\left(C\right)$

Step-by-step solution

The resistance is given by
$R = \dfrac{V}{{I}_{g}} - G$
$⇒ \dfrac{50}{{10}^{- 3}} - 54 \approx 50kΩ$
For ammeter,
$S = \dfrac{{I}_{g}G}{I - {I}_{g}} ⇒ S = \dfrac{{10}^{- 3} \times 54}{( 10 - 1 ) \times {10}^{- 3}} = 6Ω$

Practice Current Electricity on Quantrex Academy →

More from Current Electricity

A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a… JEE Advanced 2026 As shown in the figure, the resistance of a galvanometer G can be found by the… JEE Advanced 2026 The stored charge in the capacitor in steady state of the following circuit is ________ μ… JEE Main 2026 A moving coil of galvanometer when shunted with 2\,Ω resistance gives a full scale… JEE Main 2026 Two cells of emfs 1 V and 2 V and internal resistance 2\,Ω and 1\,Ω , respectively… JEE Main 2026 Refer to the circuit diagram given below. The heat generated across the 6\,Ω resistance… JEE Main 2026 In an experiment to determine the resistance of a given wire using Ohm's law, the… JEE Main 2026 Under steady state condition the potential difference across the capacitor in the circuit… JEE Main 2026 Full Current Electricity list All JEE Main PYQs