## Measurement Of Charge Sensitivities

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# Measurement of Charge Sensitivities

The charge passing through a B.G., is given byq =

__T_____

__c_____ θ

_{1}(1 + λ/2) = Kθ

_{1}( 1 + λ/2)

2π___NBA

Here K is charge sensitiveness of figure of merit of the galvanometer.

The charge that should calculate through the coil to produce an undamped throw 1mm in the spot of light on a scale placed at a distance of 1 meter from the mirror is called the charge sensitiveness K of the ballistic galvanometer.

Two resistance boxes P and Q and a key K are connected in series with an accumulator of emf E. A capacitor of known capacitance C is connected to P through the vibrator V and charging terminal Ch of the charge-discharge key. The capacitor is charged with the p.d. across P. The charge on the capacitor can be discharged through the B.G. included in the circuit through the vibrator and discharge terminal of the charge-discharge key. A commutator Cr is included in the circuit to reverse the charge in the B.G.

1000Ω in P and 9000Ω in Q are included. The capacitor is charged and immediately discharged through the B.G. The first throw θ

_{1}is noted. The experiment is repeated with P = 2000Ω, 3000Ω etc., keeping P + Q = 10,000Ω.Mean value of P/ θ1 is calculated.

Let the capacitor of the capacitor be CμF.

Charge on the capacitor q = ___

__EP_____ x C μC.

________________________ P + Q

This charge produce a throw θ

_{1}.

Undamped throw θ = θ

_{1}(1 + ½ λ)

Charge required to produce unit deflection = K.

: . K θ

_{1}(1 + ½ λ) = __

___EP_____ x C

_________________(P + Q)

or____K = ___

__EC_____ x ___

__P_____ μC / div.

___________P + Q θ

_{1}(1 ½ λ)

The value of λ is obtained by observing the first throw θ1 and then the eleventh throw θ11 and using the relation

λ =

__1__log

_{e}

__θ__=

_{1}__1__x 2.3026 x log

_{10}

__θ__

_{1}_____10 θ

_{11}10 ____________θ

_{11}

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