Unlike the idealized ammeter described in Section 25.4, any real ammeter has a n
ID: 2278760 • Letter: U
Question
Unlike the idealized ammeter described in Section 25.4, any real ammeter has a nonzero resistance. An ammeter with resistance RA is connected in series with a resistor R and a battery of emf E and internal resistance r. The current measured by the ammeter is IA.
PART A:
Find the current through the circuit if the ammeter is removed so that the battery and the resistor form a complete circuit. Express your answer in terms of IA, r, RA, and R. The more "ideal" the ammeter, the smaller the difference between this current and the current IA.
I=?
Explanation / Answer
equivalent resistance
Req =RA +R +r
so current through the circuit is
IA=E/(RA+R+r)
E=IA*(RA+R+r)
if ammeter is removed
Req =R+r
current through the circuit is
I=E/RA+r
I =IA*(RA+R+r)/(R+r)
I=IA*[1 +(RA/r+R)]
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