-
Notifications
You must be signed in to change notification settings - Fork 0
/
Figure of Merit of a galvanometer (Theory).html
226 lines (117 loc) · 10 KB
/
Figure of Merit of a galvanometer (Theory).html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html lang="en-IN" xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Figure of Merit of a galvanometer (Theory) : Physics Virtual Lab : Suryansh</title>
<link href="./Figure of Merit of a galvanometer (Theory)_files/tabs.css" rel="stylesheet" type="text/css"><link href="./Figure of Merit of a galvanometer (Theory)_files/main.css" rel="stylesheet" type="text/css"><link href="./Figure of Merit of a galvanometer (Theory)_files/bootstrap.min.css" rel="stylesheet" type="text/css"><link href="./Figure of Merit of a galvanometer (Theory)_files/custom.css" rel="stylesheet" type="text/css"><style>
#fl_banner div{
position:absolute;
}
div.mouseoverclass
{
background-color:#ffffff;
opacity:0.8;
filter:alpha(opacity=60); /* For IE8 and earlier */
position:absolute;
/*margin-left:220px;*/
width:180px;
text-align:center;
height:30px;
margin-top:20px;
font-size:24px;
vertical-align:middle;
margin-left:7px;
margin-right:5px;
/*
border:2px solid black;
text-align:center;
vertical-align:middle;*/
}
body{
background-color:#C0C0C0;
}
</style>
</head>
<body>
<div class="container" style="background-color:#e8e8e8;">
<div class=" row expContent">
<div class="row">
<div class="col-lg-12 col-sm-12 col-xs-12 detailsTop">
<div class="title">Figure of Merit of a Galvanometer</div> </div>
</div>
<div>
<div class="row">
<div class="col-lg-12 col-sm-12 col-xs-12">
<div class="tabContent">
<div class="Row">
<div class="Cell hidden-xs hidden-sm" id="lcurve" style="width:24px; height:144px"></div>
<div class="Cell">
<nav class="navbar" id="mcurve">
<div class="navbar-header" id="navBrand">
<ul class="nav nav-tabs"><li class="active" id="activeTab"><a href="Figure of Merit of a Galvanometer (Theory).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_1.png">Theory </p>
</a></li>
</ul>
</div>
<div class="collapse navbar-collapse" id="myNavbar">
<ul class="nav navbar-nav nav_2 nav-tabs" id="tab">
<li class="active"><a href="Figure of Merit of a Galvanometer (Theory).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_1.png">Theory </p>
</a></li>
<li class=""><a href="Figure of Merit of a Galvanometer (Procedure).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_2.png">Procedure </p>
</a></li>
<li class=""><a href="Figure of Merit of a Galvanometer (Simulator).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_4.png">Simulator </p>
</a></li>
<li class=""><a href="Figure of Merit of a Galvanometer (Video).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_9.png">Video </p>
</a></li>
<li class=""><a href="Figure of Merit of a Galvanometer (Viva Voce).html">
<p style="display:inline"><img src="./Figure of Merit of a galvanometer (Theory)_files/content_94.png">VivaVoce </p>
</a></li>
</ul>
</div>
</nav>
</div>
<div class="Cell hidden-xs hidden-sm" id="rcurve" style="width:24px; height:144px"></div>
</div>
</div>
</div>
</div>
<div class="divContent"><h1>Objective</h1>
<p> To determine the resistance of a galvanometer by half deflection method and to find its figure of merit.</p>
<h1>Theory</h1>
<h2>Galvanometer</h2>
<p>A galvanometer is a device used to detect feeble electric currents in a circuit. It consists of a coil suspended between the poles of a powerful magnet. As current passes through the coil, it deflects. It can be detected from the deflection on galvanometer needle. The deflection is proportional to the current passed through it. </p>
<h2><em>Resistance of galvanometer by half deflection method </em></h2>
<p><img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1435829806_fig-mg-1.jpg"></p>
<p><br>
Here, current will flows through th circuit when key k1 is closed and k2 is open. The current flowing through the galvanometer is proportional to the deflection in it.</p>
<p> <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336756_figureOfMerit_theory1.png"></p>
<p> Where, E - emf f the cell</p>
<p> R - resistance from the resistance box<br>
G - galvanometer resistance for current I<br>
θ - galvanometer deflection for current I<br>
k – proportionality constant.</p>
<p>When k<sub>2</sub> is closed and by adjusting the shunt resistance S, we can make galvanometer deflection as θ/2.</p>
<p>Then the current in the circuit is ;</p>
<p> <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336765_figureofMerit_theory2.png"></p>
<p>Now, a fraction, S/ (G+S) of the current in the circuit is flows through the galvanometer, which is given by,</p>
<p> <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336776_figureOfMerrit_theory3.png"></p>
<p>Now, from the above relations, we can get the resistance of the given galvanometer as,</p>
<p> <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336788_figureOfMerit_theory4.png"></p>
<h2><em>Figure of merit of a galvanometer</em></h2>
<p> Figure of merit is in general is the numerical value representing the degree of effectiveness or efficiency of an instrument approximated by different estimation techniques. </p>
<p>The figure of merit of a galvanometer is the current required to produce a deflection of one division in the galvanometer scale. It is represented by the letter k, and is given as,</p>
<p> <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336797_figureOfMerit_theory5.png"> </p>
<p> or , <img alt="" src="./Figure of Merit of a galvanometer (Theory)_files/1513336807_figureOfMerrit_theory6.png"> </p>
<h1> </h1>
<h1>Learning Outcomes</h1>
<ul>
<li>Students understand the various components used in the experiment.</li>
<li>Students learn the concept, ‘figure of merit’.</li>
<li>Students are able to construct circuits based on circuit diagrams.</li>
</ul>
</div></div>
</div>
</div>
</body></html>