1.

In the circit shown the three ammeters (marked as 1, 2, 3) are indentical, each have a resistance R_(0) = 2Omega. Between points A and B three is a constant potential difference of 19V. The first and second ammeter read I_(1)=2.5" A and "I_(2)=1.5 Arespectively. (a) What is the reading of third ammeter ? (b) Calculate value of resistance R. ( c) Investigate what happens to current I_(3) if the value of R_(x) is changed. Show approximately graphical variation of I_(3)vsR_(x). Note : Reading of ammeter implies current through brance of ammeter.

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Answer :(a) 1A,
(b) `4 Omega""I_(3)=(V(R_(x)-R))/((2R_(0)+3R)R_(x)+R_(0)(R_(0)+2R))`
`(##RES_PHY_CE_E03_065_A01##)`
The GRAPH of the function is a hyperbola.Its special points are : at `R_(x)=0I_(3)=-3.8A;` at `R_(x) ; = 4I_(3)=0;` at `R_(x)=32Omega I_(3)=1A ; ` If `R_(x)to oo, I_(3)" tends to 19/16=1.1875 A"`.


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