Question

The equivalent resistance between the terminals $A$ and $D$ in the following circuit is

• A. $10\Omega$
• B. $20\Omega$
• C. $5\Omega$
• D. $30\Omega$

Answer 1

Answer: (B)

$20\Omega$

The effective circuit is shown in the figure.
The resistance of arm EHG=10Ω+10Ω=20ΩEHG=10Ω+10Ω=20Ω
will be parallel to resistance of arm
FG=10Ω+10Ω=20ΩFG=10Ω+10Ω=20Ω
Their effective resistance =20Ω×20Ω20Ω+20Ω=10Ω=20Ω×20Ω20Ω+20Ω=10Ω
Therefore, the equivalent resistance between AA and
D=5Ω+10Ω+5Ω=20Ω