In the given circuit, calculate $(i)$ total resistance of the circuit, and $(ii)$ current shown by the ammeter.

1091-257

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$(i)$ Since $R _{1}$ and $R _{2}$ are in series, their resultant resistance,

$R _{ S }= R _{1}+ R _{2}=3+2=5 \Omega$

Further, $R _{ S }$ and $R _{3}$ are in parallel, their resultant resistance is given by

$R_{P}=\frac{R_{S} R_{3}}{R_{S}+R_{3}}=\frac{5 \times 5}{5+5}=2.5 \Omega$

$(ii)$ Also, $\quad I=\frac{V}{R}=\frac{2.5}{2.5}=1 A$

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