Question

The equilvalent resistance and potential difference between $A$ and $B$ for the circuit respectively are

• A. $4\, \Omega,\, 8\, V$
• B. $8\, \Omega,\, 4\, V$
• C. $2\, \Omega,\, 2\, V$
• D. $16\, \Omega,\, 8\, V$

Answer 1

Answer: (A)

The equivalent resistance between $A$ and $B$ is
$\frac{1}{R'}=\frac{1}{6}+\frac{1}{6}+\frac{1}{3}=\frac{2}{3}$
or $R'=\frac{3}{2}=1.5\, \Omega$
Now the equivalent resistance between $A$ and $B$ is
$R''=1.5+2.5=4\, \Omega$
Now by Ohm's law, potential difference. between $A$ and $B$ is given by
$V_{A}-V_{B} =i R=2 \times 4.0$
$=8$ volt