Question

For a given circuit, calculate
(i) equivalent resistance between the points $A$ and $C$.
(ii) current in the circuit
(iii) potential difference between $A$ and $B$

Answer 1

i ) Equivalent resistance between the points A and C

The resistance of AB and BC arm are in series so,

$R^{\prime }=2\Omega$

Now this resistance is in parallel with the $2\Omega$,

$R_t=\frac{2\times 2}{2+2}=1\Omega$

ii ) Current in the circuit

$I=\frac{V}{R}=\frac{2}{1}=2A$

iii ) Potential difference between A and B

As current divides equally, current in upper branch is 1 A,

so, Potential difference between AB is,

$V=IR=1\times 1=1V$