Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Find the resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100 - \mu A\) sensitivity to allow it to be used as a voltmeter with:
(a) a \(300 - V\) full-scale reading, and
(b) a \(0.300 - V\) full-scale reading.

(a)The resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100.0 - \mu A\) sensitivity to allow it to be used as a voltmeter with \(300 - V\)full-scale readingis, \(R = 3{\rm{ }}M\Omega \).

(b)The resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100.0 - \mu A\) sensitivity to allow it to be used as a voltmeter with \(0.300 - V\)full-scale readingis, \(R = 2.99{\rm{ }}k\Omega \).

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Concept Introduction

A galvanometer is an electromechanical device used to detect electric current. A galvanometer deflects a pointer in response to an electric current flowing through a coil in a constant magnetic field. An example of an actuator is a galvanometer.

The total flow of electrons via a wire can be used to describe the rate of electron flow. Anything that prevents current flow is referred to as "resistance." An electrical circuit needs resistance in order to transform electrical energy into light, heat, or movement.

Step 2: Information Provided

Inner resistance in galvanometer: \(10.0 - \Omega \)
Sensitivity of galvanometer: \(100.0 - \mu A\)
Scale measure of voltmeter: \(300 - V\)
Scale measure of voltmeter: \(0.300 - V\)

Step 3: Calculation for Resistance

A galvanometer in a voltmeter with inner resistance:\(10.0 - \Omega \)

A galvanometer in a voltmeter with sensitivity:\(100.0 - \mu A\)

Full scale reading of voltmeter: \(300 - V\)

Calculate the additional resistance \({\rm{R}}\), connected in series to the internal resistance, necessary for the galvanometer tohave \({V_a} = 300 - V\)full-scale reading. The total resistance in this case is \(r + R\).Calculate \(R\) as –

\(\begin{align}{}r + {R_a} & = \frac{{{V_a}}}{I}\\{R_a} & = \frac{V}{I} - r\\ & = \frac{{300\;V}}{{100{\rm{ }}\mu A}} - 10{\rm{ }}\Omega \end{align}\)

\(\begin{align}{} &= 2999990{\rm{ }}\Omega \\ &= 3{\rm{ }}M\Omega \end{align}\)

Therefore, the value for resistance is obtained as \(R = 3{\rm{ }}M\Omega \).

Step 4:Calculation for Resistance

A galvanometer in a voltmeter with inner resistance:\(10.0 - \Omega \)

A galvanometer in a voltmeter with sensitivity:\(100.0 - \mu A\)

Full scale reading of voltmeter: \(0.300 - V\)

Calculate the additional resistance \(R\), connected in series to the internal resistance, necessary for the galvanometer tohave \({V_b} = 0.300 - V\)full-scale reading. The total resistance in this case is \(r + R\).Calculate \(R\) as –

\(\begin{align}{}r + {R_b} & = \frac{{{V_b}}}{I}\\{R_b} & = \frac{V}{I} - r\\ & = \frac{{0.300\;V}}{{100{\rm{ }}\mu A}} - 10{\rm{ }}\Omega \end{align}\)

\(\begin{align}{} & = 2990{\rm{ }}\Omega \\ & = 2.99{\rm{ }}k\Omega \end{align}\)

Therefore, the value for resistance is obtained as \(R = 2.99{\rm{ }}k\Omega \).

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College Physics (Urone)

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Short Answer

Find the resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100 - \mu A\) sensitivity to allow it to be used as a voltmeter with:
(a) a \(300 - V\) full-scale reading, and
(b) a \(0.300 - V\) full-scale reading.

Step by Step Solution

Step 1: Concept Introduction

Step 2: Information Provided

Step 3: Calculation for Resistance

Step 4:Calculation for Resistance

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College Physics (Urone)

Answers without the blur.

Short Answer

Find the resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100 - \mu A\) sensitivity to allow it to be used as a voltmeter with: (a) a \(300 - V\) full-scale reading, and (b) a \(0.300 - V\) full-scale reading.

Step by Step Solution

Step 1: Concept Introduction

Step 2: Information Provided

Step 3: Calculation for Resistance

Step 4:Calculation for Resistance

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Find the resistance that must be placed in series with a \(10.0 - \Omega \) galvanometer having a \(100 - \mu A\) sensitivity to allow it to be used as a voltmeter with:
(a) a \(300 - V\) full-scale reading, and
(b) a \(0.300 - V\) full-scale reading.