Chapter 24.2, Problem 36SSC

To determine

Total resistance of meter and multiplier.

Answer to Problem 36SSC

  $R=28\text{k}\Omega$

Explanation of Solution

Given:

Current for full scale deflection, $I=180\mu \text{A}$

Voltage for full scale deflection, $V=5\text{V}$

Formula Used:

When a galvanometer is used as voltmeter, the total resistance of meter and multiplier is given as,

  $R=\frac{V}{I}$

Where, $V$ is voltage for full scale deflection and $I$ is full scale deflection current.

Calculation:

On substituting the given values,

  $\begin{array}{c}R=\frac{5}{180\times {10}^{-6}}\\ =0.0277\times {10}^6\\ =27.7\times {10}^3\\ \approx 28\text{k}\Omega \end{array}$

Conclusion:

Therefore, total resistance of meter and multiplier is $R=28\text{k}\Omega$ .