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CBSE Class 12-science Answered

CONVERSION OF GALVANOMETER TO AMMETER
 
Asked by Sandeep Yadav | 07 Feb, 2015, 09:59: PM
answered-by-expert Expert Answer
A galvanometer can be converted to ammeter by connecting a low resistance parallel to the galvanometer.This low resistance is called "shunt" resistance.  Galvanometer cannot measure high current as it is a very sensitive instrument. The shunt resistance increses the range of the galvanometer and also protects it from getting damaged due to heavy current. 
 
begin mathsize 14px style Let space straight G space be space the space resistance space of space galvanometer straight S minus resistance space of space the space low space resistance space shunt straight I subscript straight g space end subscript minus space Maximum space current space that space can space be space passed space through space galvanometer straight I minus space Total space current Let space straight I subscript straight s space end subscript be space the space current space through space the space shunt straight I space equals straight I subscript straight g space end subscript plus straight I subscript straight s space end subscript straight I subscript straight s space end subscript equals straight I space minus straight I subscript straight g space end subscript As space the space shunt space resistance space and space galvanometer space is space connected space in space parallel straight p. straight d space across space the space galvanometer space equals space straight p comma straight d space across space the space shunt straight i. straight e. straight I subscript straight g space end subscript cross times straight G space equals straight I subscript straight s space end subscript cross times straight S straight I subscript straight g space end subscript cross times straight G equals open parentheses straight I space minus straight I subscript straight g space end subscript close parentheses cross times straight S rightwards double arrow straight S space equals fraction numerator straight I subscript straight g space end subscript over denominator open parentheses straight I space minus straight I subscript straight g space end subscript close parentheses end fraction cross times straight G straight S space gives space the space value space of space the space shunt space resistance space to space be space conencted space in space parallel space with space the space galvanometer space to space convert space it space to space ammeter If space straight R space is space the space resistance space of space the space ammeter comma space then 1 over straight R equals 1 over straight G plus 1 over straight S rightwards double arrow straight R equals fraction numerator GS over denominator straight G plus straight S end fraction straight R space gives space the space resistanceof space the space galvanometer space converted space to space ammeter. end style
Answered by Jyothi Nair | 08 Feb, 2015, 11:16: AM

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