Question

As shown in following circuit $A,B$ and $C$ are three ammeter. $0.5A$ current is shown by ammeter $B$.
(a) Find the current passing through Ammeter $A$ and $C$.
(b) Find total resistance of circuit.
(c) Find emf of the battery (Take resistance of each ammeter as zero.)

Answer 1

Resistance of all the ammeter $=0$

Current through $6\Omega$ resistor $=0.5A$

Potential drop across $6\Omega$ and $3\Omega$ is same ($\because$ they are in parallel)

$6\times 0.5=3\times x=0x=1A$ __(I)

Total current $=x+0.5=1.5A$ __(II)

Equivalent Resistance of the circuit

$R_{eq}=\frac{6\times 3}{6+3}+2=4\Omega$ __(III)

$V=i{R}_{eq}=0$ $V=1.5\times 4=6V$ __(IV)

a) Current through $A=1.5A$ (from eq. (II))

current through $C=1A$ (from eq (I))

b) Total resistance $=4\Omega$ (from eq. (III))

c) Emf of Battery $=6V$ (from eq. (IV))