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A 0.1 shunt is connected to a 100-uA, 600-ohm meter movement. What is the range of the...

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t4trendesetter | (Level 1) Honors

Posted September 12, 2013 at 4:33 PM via web

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A 0.1 shunt is connected to a 100-uA, 600-ohm meter movement. What is the range of the ammeter?

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valentin68 | College Teacher | (Level 3) Associate Educator

Posted September 12, 2013 at 5:22 PM (Answer #1)

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When connecting a shunt in parallel to the internal resistance of an ammeter the maximum range of current intensity that can be indicated is increased. Because the internal resistance is in parallel with shunt resistance the voltage drop is the same on both (U).

with the shunt connected we have

`I_("total") = I_("shunt") + I_("meter")`

The ratio of meter current to shunt current is

`n = I_(meter)/I_(shunt) = (U/R_(meter))*(R_(shunt)/U) = R_(shunt)/R_(meter) =0.1/600 =1.667*10^-4`

which means

`I_(shunt) =I_(meter)/n = (100*10^-6)/(1.667*10^-4) =0.6 A`

This means the total scale of the ammeter with shunt is

`I_("total") = 0.6 +0.0001 = 0.6001 A ~~0.6 A`

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