Submitted By:: Physics Investigatory Project
Submitted By:: Physics Investigatory Project
Submitted By:: Physics Investigatory Project
TANGENT GALVANOMETER
Class :- XII - A
CBSE Roll. No.:-
Reg. No.:-P218/09501/0093
Total Pages :- 19
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TANGENT GALVANOMETER
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BAL VIDYA NIKETAN
(Senior Secondary School)
Patel Nagar, Raja Bazar, Jehanabad – 804408
Examiners:
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PAGE
SL.NO. CONTENT
NO.
1 Certificate 2
2 Acknowledgement 4
3 Aim/Objective 5
4 Introduction 6
About The Topic-
5 10
Tangent galvanometer
6 Experiment 14
7 Observation Table 16
8 Result 17
9 Conclusion 17
10 Bibliography 17
11 End of Project 18
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ACKNOWLEDGEMENT
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OBJECTIVE
field (Bh).
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INTRODUCTION
Earth's magnetic field, also known as the geomagnetic field, is the
magnetic field that extends from the Earth's interior to where it
meets the solar wind, a stream of charged particles emanating from
the Sun. Its magnitude at the Earth's surface ranges from 25 to 65
microteslas (0.25 to 0.65 gauss).Roughly speaking it is the field of a
magnetic dipole currently tilted at an angle of about 10 degrees with
respect to Earth's rotational axis, as if there were a bar magnet
placed at that angle at the center of the Earth. Unlike a bar magnet,
however, Earth's magnetic field changes over time because it is
generated by a geodynamic (in Earth's case, the motion of molten
iron alloys in its outer core).
The North and South magnetic poles wander widely, but sufficiently
slowly for ordinary compasses to remain useful for navigation.
However, at irregular intervals averaging several hundred thousand
years, the Earth's field reverses and the North and South Magnetic
Poles relatively abruptly switch places. These reversals of the
geomagnetic poles leave a record in rocks that are of value to
paleomagnetists in calculating geomagnetic fields in the past. Such
information in turn is helpful in studying the motions of continents
and ocean floors in the process of plate tectonics.
The magnetosphere is the region above the ionosphere and extends
several tens of thousands of kilometers into space, protecting the
Earth from the charged particles of the solar wind and cosmic rays
that would otherwise strip away the upper atmosphere, including
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the ozone layer that protects the Earth from harmful ultraviolet
radiation.
Earth's magnetic field serves to deflect most of the solar wind, whose
charged particles would otherwise strip away the ozone layer that
protects the Earth from harmful ultraviolet radiation. One stripping
mechanism is for gas to be caught in bubbles of magnetic field,
which are ripped off by solar winds.
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ABOUT THE TOPIC
Tangent Galvanometer
A tangent galvanometer is an early measuring instrument used for
the measurement of electric current. It works by using
a compass needle to compare a magnetic field generated by the
unknown current to the magnetic field of the Earth. It gets its name
from its operating principle, the tangent law of magnetism, which
states that the tangent of the angle a compass needle makes is
proportional to the ratio of the strengths of the two perpendicular
magnetic fields. It was first described by Claude Pouillet in 1837.
A tangent galvanometer consists of a coil of insulated copper wire
wound on a circular non-magnetic frame. The frame is mounted
vertically on a horizontal base provided with leveling screws. The
coil can be rotated on a vertical axis passing through its centre. A
compass box is mounted horizontally at the centre of a circular
scale. It consists of a tiny, powerful magnetic needle pivoted at the
centre of the coil. The magnetic needle is free to rotate in the
horizontal plane. The circular scale is divided into four quadrants.
Each quadrant is graduated from 0° to 90°. A long thin aluminium
pointer is attached to the needle at its centre and at right angle to it.
To avoid errors due to parallax, a plane mirror is mounted below
the compass needle.
In operation, the instrument is first rotated until the magnetic field
of the Earth, indicated by the compass needle, is parallel with the
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plane of the coil. Then the unknown current is applied to the coil.
This creates a second magnetic field on the axis of the coil,
perpendicular to the Earth's magnetic field. The compass needle
responds to the vector sum of the two fields, and deflects to an
angle equal to the tangent of the ratio of the two fields. From the
angle read from the compass's scale, the current could be found
from a table.[2] The current supply wires have to be wound in a
small helix, like a pig's tail, otherwise the field due to the wire will
affect the compass needle and an incorrect reading will be obtained.
A tangent galvanometer can also be used to measure the magnitude
of the horizontal component of the geomagnetic field. When used
in this way, a low-voltage power source, such as a battery, is
connected in series with a rheostat, the galvanometer, and ammeter.
The galvanometer is first aligned so that the coil is parallel to the
geomagnetic field, whose direction is indicated by the compass
when there is no current through the coils. The battery is then
connected and the rheostat is adjusted until the compass needle
deflects 45 degrees from the geomagnetic field, indicating that the
magnitude of the magnetic field at the center of the coil is the same
as that of the horizontal component of the geomagnetic field. This
field strength can be calculated from the current as measured by the
ammeter, the number of turns of the coil, and the radius of the coils.
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CIRCUIT DIAGRAM
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From Figure B = Bh tanθ. This is known as tangent law of magnetism.
B = Bh tanθ (1)
Let I be the current passing through the coil of radius a with n turns, then the
magnetic field generated by the current carrying coil is,
K = I/tanθ (5)
Now from the equation (3) & (5), the horizontal intensity of Earth’s
magnetic field Bh is,
Bh = µ0nK/2a (6)
APPLICATIONS
Tangent Galvanometer can be used to measure the magnitude of the
horizontal component of the geomagnetic field.
The principle can be used to compare the galvanometer constants.
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EXPERIMENT
Aim
To determine the reduction factor of a tangent galvanometer.
To find the horizontal intensity of the Earth’s magnetic field
Apparatus
Accumulator, Rheostat, Ammeter, Commutator, Tangent
Galvanometer
Principle&Formulae
The reduction factor of T.G is K=I/tanθ, where I is the current
flowing through the T.G which produces the deflection θ.
The horizontal intensity of Earth’s magnetic field at a place. Bh
= µ0nK/2r, where n is the number of turns of the coil, µ0 =
4π×10-7 NA-2 is the permeability of free space, K is the reduction
factor of the T.G and r is the radius of the coil of the T.G.
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Procedure
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OBSERVATION TABLE
Deflection in T.G
Ammeter
SL.No Reading Mean K=I/tanθ
(A) θ1 θ2 θ3 θ4
1 0.15 35 35 35 35 35 0.2142
Mean K = 0.19682
The reduction factor of TH = 0.19682
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Horizontal Intensity at the place Bh = µ0nK/2r
= 2πnK×10-7/r
= 7.6867×10-8 T
For different values of current I, deflections are noted and values are
calculated. Knowing K, n and r the value of horizontal intensity Bh
can be calculated.
Result
1. The reduction factor of T.G, K = 0.19682 A
2. Horizontal Intensity at the place, Bh = 7.6867×10-5 T
CONCLUSION
Experiment in tangent galvanometer gives the reduction factor of
galvanometer and horizontal intensity of Earth’s magnetic field.
BIBLIOGRAPHY
Illustrative Oxford Book
Wikipedia
NCERT Practical’s
Introduction to Physical Science
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End of
Project
Thank you!
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