Question

All the resistors are equal in value each being 2 ohm. The equivalent resistance of the combination is:

• A.
• B. 4 $\Omega$
• C. 1 $\Omega$
• D. 8 $\Omega$

Answer 1

Answer: (A)

Answer 2

The given circuit is balanced Wheatstone Bridge hence, middle resistor is ineffective. Now equivalent resistance of upper arm which are connected in series ${{R}_{eq(U)}}=2+2=4\,\Omega$ Similarly the equivalent resistance of lower arm which are also connected in series ${{R}_{eq(L)}}=2+2=4\,\Omega$ Now ${{R}_{eq(U)}}$ and ${{R}_{eq(L)}}$ are connected in parallel ${{R}_{\text{resultant}}}=\frac{4\times 4}{4+4}=\frac{16}{8}=2\,\Omega$