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Q. The resistance across $A$ and $B$ in the figure below will bePhysics Question Image

WBJEEWBJEE 2011Current Electricity

Solution:

Three resistances are in parallel, so effectively the resistance would be equal to
$\frac{1}{R_{\text {eff }}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}=\frac{3}{R}$
So, $R_{\text {eff }}=\frac{R}{3}$