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Lesson-42: Study of DC-AC Measuring Instruments - nptel

Lesson-42: Study of DC-AC Measuring Instruments - nptel

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Solution: From the circuit shown in Fig.<strong>42</strong>.6, one can write the expression for the 50 V<br />

range as<br />

V V<br />

I = ⇒ RS<br />

= −Rm<br />

(<strong>42</strong>.5)<br />

R + R I<br />

m<br />

s<br />

−6<br />

Now for (i) V = 50 V , I = 100μ<br />

A = 100× 10 A, and R m<br />

= 100Ω, the value <strong>of</strong> series<br />

resistance ( R ) = 0. 4999 M Ω .<br />

s1<br />

−6<br />

(ii) V = 100 V , I = 100μ<br />

A = 100× 10 A, and R m<br />

= 100Ω, the required value <strong>of</strong><br />

resistance ( R s2<br />

) = 0.9999 M Ω<br />

−6<br />

(iii) V = 150 V, I = 100μ<br />

A= 100× 10 A,<br />

and R = 100Ω , the required series resistance<br />

( R ) = 1.4999 M Ω .<br />

s3<br />

L.<strong>42</strong>.4 Advantages, Limitations and sources <strong>of</strong> errors<br />

Advantages:<br />

•<br />

G<br />

The scale is uniformly divided (see at steady state , θ = I<br />

s<br />

C<br />

).<br />

• The power consumption can be made very low ( 25 μW to 200 μ W ).<br />

• The torque-weight ratio can be made high with a view to achieve high accuracy.<br />

• A single instrument can be used for multi range ammeters and voltmeters.<br />

• Error due to stray magnetic field is very small.<br />

Limitations:<br />

• They are suitable for direct current only.<br />

• The instrument cost is high.<br />

• Variation <strong>of</strong> magnet strength with time.<br />

The Errors are due to:<br />

i) Frictional error, ii) Magnetic decay, iii) Thermo electric error, iv) Temperature<br />

error.<br />

Errors can be reduced by following the steps given below:<br />

m<br />

Version 2 EE IIT, Kharagpur

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