Determine Frequency of A.C. Waves Using Sonometer-Basic Electrical Engineering-Lab Mannual, Exercises of Electrical Engineering

Dr. Varun Shrma designed this lab manual for Basic Electrical Engineering course at Jaypee University of Engineering

Typology: Exercises

2011/2012

Uploaded on 07/03/2012

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Experiment No. Phy-6
Object:
To determine frequency of A.C. mains using sonometer.
Apparatus:
A sonometer with a steel wire of unknown diameter.
Electromagnet
A step down transformer(220V to 6V or 12 V)
Rheostat
Hanger with slotted weights of 1Kg each
Mete Rod
Two wedges
Formula used:
0
1
4
Mg
f
l m
=
Sonometer
Procedure:
i. To perform this experiment usually a sonometer is used in which an
electromagnet is fitted in the middle. Connect one end of a steel
wire of uniform diameter to peg and connect other end to hanger
after passing it over two wedges and a frictionless pulley.
ii. Put suitable slotted weights in hanger so that the wire may remain
in tension without any bends or kinks
iii. Place one wedge on one side and the other wedge on other side of
electromagnet at nearly equal distances from there. Also put a
small rider of paper on the wire above the electromagnet.
iv. Switch on circuit of electromagnet. The steel wire will begin to
vibrate Adjust position of wedges by moving them slowly until the
rider flies off. Then amplitude of vibration will be maximum and
transverse stationary waves will be set up in the segment of wire
between wedges with nodes at wedges and anti-notes in the middle
(above the electromagnet.)
v. Measure length of segment of wire between wedges by meter rod
twice by repeating step (iv) and find its mean value ‘l’.
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Experiment No. Phy-

Object: To determine frequency of A.C. mains using sonometer.

Apparatus:

  • A sonometer with a steel wire of unknown diameter.
  • Electromagnet
  • A step down transformer(220V to 6V or 12 V)
  • Rheostat
  • Hanger with slotted weights of 1Kg each
  • Mete Rod
  • Two wedges

Formula used:

0

Mg f l m

Sonometer

Procedure:

i. To perform this experiment usually a sonometer is used in which an electromagnet is fitted in the middle. Connect one end of a steel wire of uniform diameter to peg and connect other end to hanger after passing it over two wedges and a frictionless pulley. ii. Put suitable slotted weights in hanger so that the wire may remain in tension without any bends or kinks iii. Place one wedge on one side and the other wedge on other side of electromagnet at nearly equal distances from there. Also put a small rider of paper on the wire above the electromagnet. iv. Switch on circuit of electromagnet. The steel wire will begin to vibrate Adjust position of wedges by moving them slowly until the rider flies off. Then amplitude of vibration will be maximum and transverse stationary waves will be set up in the segment of wire between wedges with nodes at wedges and anti-notes in the middle (above the electromagnet.) v. Measure length of segment of wire between wedges by meter rod twice by repeating step (iv) and find its mean value ‘l’.

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vi. Repeat step (ii), (iii), (iv) by changing weights in hanger at least thrice. vii. Take a piece of 100cm of same steel wire .Measure its mass by physical or electronics balance and divide it by 100 to get mass of wire per cm (mo) viii. By putting values of l , mo, M and g in formula ix. Calculate frequency ‘f’ of A.C. main (supply) for each set of observation and then find man value of ‘f’.

Observation:

Mass of 100cm of wire = m = ---------------gm

Mass of per cm of wire = mo = m/100 = ---------------- gm/cm

Acceleration due to gravity = g = = 980 cm/s^2

Calculations:

For observation 1 = (^1) 0

Mg f l m

For observation 2 = (^2) 0

Mg f l m

For observation 3 = (^3) 0

Mg f l m

For observation 4 = (^4) 0

Mg f l m

Mean Value of ‘f’ =

Results:

Frequency of A.C. mains, experimentally found is = Actual frequency of A.C. mains = Percentage of Error = (Experimental Value – Actual Value)* 100 / Actual Value

Resonate length of segment of wire between two wedges Sr.#

Mass Suspended with wire including mass hanger M in gm

cm

cm

Mean ‘l’ cm 1 2 3 4

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