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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Obtain the Expression for Current Sensitivity of Moving Coil Galvanometer.

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प्रश्न

Obtain the expression for current sensitivity of moving coil galvanometer.

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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`

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2012-2013 (March)

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संबंधित प्रश्‍न

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


Write the underlying principle of a moving coil galvanometer.


A circular coil of 250 turns and diameter 18 cm carries a current of 12A. What is the magnitude of magnetic moment associated with the coil?


An ideal voltmeter has _______.

(A) low resistance

(b) high resistance

(C) infinite resistance

(D) zero resistance


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.


A rectangular coil of a moving coil galvanometer contains 100 turns, each having area
15 cm2. It is suspended in the radial magnetic field 0.03 T. The twist constant of suspension
fibre is 15 x 10-10 N-m/degree. Calculate the sensitivity of the moving coil galvanometer.


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?


Define current sensitivity of a galvanometer.


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


State the underlying principle of working of a moving coil galvanometer. Write two reasons why a galvanometer can not be used as such to measure current in a given circuit. Name any two factors on which the current sensitivity of a galvanometer depends.


What are the advantages of using soft iron as a core, instead of steel, in the coils of galvanometers?


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


A moving coil galvanometer has a coil of resistance 59 Ω. It shows a full-scale deflection for a current of 50 mA. How will you convert it to an ammeter having a range of 0 to 3A?


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


Explain the significance of a radial magnetic field when a current-carrying coil is kept in it. 


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 AC voltage across a resistance can be measured using a ______.


The deflection in a moving coil galvanometer is ______.


An electric charge in uniform motion produces ______.

To make the field radial in a moving coil galvanometer ______.

In a moving coil galvanometer the deflection (Φ) on the scale by a pointer attached to the spring is ______.


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


Assertion (A): On Increasing the current sensitivity of a galvanometer by increasing the number of turns may not necessarily increase its voltage sensitivity.

Reason (R): The resistance of the coil of the galvanometer increases on increasing the number of turns.

Select the most appropriate answer from the options given below:


A galvanometer having a coil resistance of 60 Ω shows full-scale deflection when a current of 1.0 amp passes through it. It can be converted into an ammeter to read currents up to 5.0 amp by:


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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 ______.


A multirange voltmeter can be constructed by using a galvanometer circuit as shown in figure. We want to construct a voltmeter that can measure 2V, 20V and 200V using a galvanometer of resistance 10Ω and that produces maximum deflection for current of 1 mA. Find R1, R2 and R3 that have to be used.


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 resistance of 3Ω is connected in parallel to a galvanometer of resistance 297Ω. Find the fraction of current passing through the galvanometer.


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?


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


Assertion: When an electric current is passed through a moving coil galvanometer, its coil gets deflected.

Reason: A circular coil produces a uniform magnetic field around itself when an electric current is passed through it.


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.

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 current sensitivity of a moving coil galvanometer is given by:


The unit in which the current sensitivity of a galvanometer is expressed is:


The voltage sensitivity of a moving coil galvanometer, where G is the resistance of the galvanometer coil, is given by:


In the pivoted-coil (Weston) type galvanometer, the two hair springs:


The pointer used to read the deflection on the calibrated scale of a moving coil galvanometer is made of:


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:


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