हिंदी

Obtain the Expression for Current Sensitivity of Moving Coil Galvanometer.

Advertisements
Advertisements

प्रश्न

Obtain the expression for current sensitivity of moving coil galvanometer.

Advertisements

उत्तर

The sensitivity (i.e. current sensitivity) of a galvanometer is defined as the angle of deflection per unit current flowing through it.
If dθ is change in the deflection produced by a small change in the current dI, sensitivity (S) of the galvanometer is given by

`S=(d theta)/(dI)`

The current I flowing through a moving coil galvanomet er is given by

`I=k/(nAB)theta` where θ is the angle of deflection , N is its turns, A is area, B is magnetic induction & k is the couple per unit twist.

`theta = (NAB)/k I`

`(d theta)/(dI)=(NAB)/k`

`S=(NAB)/k`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2012-2013 (March)

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

The combined resistance of a galvanometer of resistance 500Ω and its shunt is 21Ω. Calculate the value of shunt.


The combined resistance of a galvanometer of resistance 500Ω and its shunt is 21Ω. Calculate the value of shunt.


Show that the current flowing through a moving coil galvanometer is directly proportional to the angle of deflection of coil.


Draw a labelled diagram of a moving coil galvanometer. Describe briefly its principle and working.


Why is it necessary to introduce a cylindrical soft iron core inside the coil of a galvanometer?


Increasing the current sensitivity of a galvanometer may not necessarily increase its voltage sensitivity. Explain, giving reason.


Two moving coil meters, M1 and M2 have the following particulars:

R1 = 10 Ω, N1 = 30,

A1 = 3.6 × 10–3 m2, B1 = 0.25 T

R2 = 14 Ω, N2 = 42,

A2 = 1.8 × 10–3 m2, B2 = 0.50 T

(The spring constants are identical for the two meters.)

Determine the ratio of

  1. current sensitivity and
  2. voltage sensitivity of M2 and M1.

The fraction of the total current passing through the galvanometer is ............ .

a) `S/(S+G)`

b) `G/(S+G)`

c) `(S+G)/G`

d) `(S+G)/S`


A moving coil galvanometer has a resistance of 25Ω and gives a full scale deflection for a current of 10mA. How will you convert it into a voltmeter having range 0 - 100 V?


A galvanometer has a resistance of 16Ω. It shows full scale deflection, when a current of 20 mA is passed through it. The only shunt resistance available is 0.06  which is not appropriate to convert a galvanometer into an ammeter. How much resistance should be connected in series with the coil of galvanometer, so that the range of ammeter is 8 A?


Why is it necessary to introduce a radial magnetic field inside the coil of a galvanometer?


How will you convert a moving coil galvanometer into a voltmeter?


Why does a galvanometer when connected in series with a capacitor show a momentary deflection, when it is being charged or discharged?

How does this observation lead to modifying the Ampere's circuital law?

Hence write the generalised expression of Ampere's law.


Write current sensitivity of a galvanomete S.I. unit. 


Explain, giving reasons, the basic difference in converting a galvanometer into (i) a voltmeter and (ii) an ammeter?


In the meter bridge experiment, balance point was observed at J with AJ = l.

(i) The values of R and X were doubled and then interchanged. What would be the new position of balance point?

(ii) If the galvanometer and battery are interchanged at the balance position, how will the alance point get affected?


Outline the necessary steps to convert a galvanometer of resistance RG into an ammeter of a given range ?


A coil of radius 10 cm and resistance 40 Ω has 1000 turns. It is placed with its plane vertical and its axis parallel to the magnetic meridian. The coil is connected to a galvanometer and is rotated about the vertical diameter through an angle of 180°. Find the charge which flows through the galvanometer if the horizontal component of the earth's magnetic field is BH = 3.0 × 10−5 T.


Why are the pole pieces of a horseshoe magnet in a moving coil galvanometer made cylinder in shape? 


State how a moving coil galvanometer can be converted into an ammeter.


Define the term ‘current sensitivity’ of a moving coil galvanometer.


A galvanometer coil has a resistance of 12 Ω and the metre shows full scale deflection for a current of 3 mA. How will you convert the metre into a voltmeter of range 0 to 18 V?


A galvanometer coil has a resistance of 15 Ω and the metre shows full scale deflection for a current of 4 mA. How will you convert the metre into an ammeter of range 0 to 6 A?


The deflection in a moving coil galvanometer is ______.


The current sensitivity of a galvanometer is defined as ______.


A moving coil galvanometer has N number of turns in a coil of effective area A, it carries a current I. The magnetic field B is radial. The torque acting on the coil is ______.

In a moving coil galvanometer, the deflection of the coil θ is related to the elecrical current i by the relation ______.

A moving coil galvanometer can be converted into an ammeter by ______.


The conversion of a moving coil galvanometer into a voltmeter is done by ______.


The coil of a moving coil galvanometer is wound over a metal frame in order to ______.


The current sensitivity of a galvanometer increase by 20%. If its resistance also increases by 25%, the voltage sensitivity will ______.


A galvanometer of resistance 100 Ω gives a full-scale deflection for a current of 10−5 A. To convert it into an ammeter capable of measuring up to 1 A we should connect a resistance of ______.


In an ammeter 0.5% of main current passes through galvanometer; If resistance of galvanometer is G, the resistance of ammeter will be.


The coil of galvanometer consists of 100 turns and effective area of 1 square cm. The restoring couple is 10-8 N-m/rad. The magnetic field between the pole pieces is 5T. The current sensitivity of this galvanometer will be ______.


When a galvanometer is shunted with a 4 Ω resistance, the deflection is reduced to one-fifth. If the galvanometer is further shunted with a 2 Ω wire. The further reduction (find the ratio of decrease in current to the previous current) in the deflection will be (the main current remains the same)


A galvanometer coil bas 500 turns and each tum has an average area of 3 × 10-4 m2. If a torque of 1.5 Nm is required to keep this coil parallel to a magnetic field when a current of 0.5 A is flowing through it, the strength of the field (in T) is ______.


A galvanometer having a resistance of 20 Ω and 30 Ω division on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is ______.


A galvanometer shows full-scale deflection for current Ig. A resistance R1 is required to convert it into a voltmeter of range (0 - V) and a resistance R2 to convert it into a voltmeter of range (0 - 2V). Find the resistance of the galvanometer.


How is current sensitivity increased?


A voltmeter has a range of 0 - 20 V and a resistance of 500 Q. Explain how can be used to measure voltages from 0 - 200 volt?


A moving coil galvanometer of resistance 55 Ω produces a full scale deflection for a current of 250 mA. How will you convert it into an ammeter with a range of 0 - 3A?


To convert a moving coil galvanometer into an ammeter we need to connect a ______.


The figure below shows a circuit containing an ammeter A, a galvanometer G and a plug key K. When the key is closed:


A galvanometer of resistance 100 Ω gives a full-scale deflection for a potential difference of 200 mV.

  1. What must be the resistance connected to convert the galvanometer into an ammeter of the range 0-200 mA?
  2. Determine resistance of the ammeter.

A sensitive electromagnetic instrument used to detect and measure small electric currents (of the order of microamperes to milliamperes) by measuring the deflection of a current-carrying coil placed in a uniform magnetic field is called a:


Current sensitivity of a galvanometer is defined as the:


Voltage sensitivity of a galvanometer is defined as the:


The figure of merit of a galvanometer is:


The unit of voltage sensitivity of a galvanometer is:


The figure of merit k of a galvanometer is given by:


At equilibrium, the deflecting and restoring torques acting on the coil of a moving coil galvanometer satisfy the condition:


The non-magnetic frame of a moving coil galvanometer is made of aluminium, and its function is to provide:


A voltmeter is connected across a component:


In a circuit with a 3 V source and a 3 Ω resistor, the galvanometer \((R_G = 60\ \Omega)\) is converted into an ammeter using a shunt resistance \(r_s = 0.02\ \Omega\). The measured current is approximately:


A circuit consists of a 3 V source and a 3 Ω resistor. With an ideal ammeter of zero resistance inserted, the current in the circuit is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×