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$A$ student has $10$ resistors of resistance $r$. The minimum resistance made by him from given resistors is

Two bulbs of $100\, W$ and $200\, W$ working at $220\, V$ are joined in series with a $220\, V$ supply. The total power consumed will be approximately ........... $W$.

By which of the following single load resistance should the load bridge be replaced so that the power to the load remains unchanged (in $\Omega$)? (Given $r = 3 \ \Omega$ for each resistor in the bridge)

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$A$ ring is made of a wire having a resistance $R_0 = 12\,\Omega$. Find the ratio of the lengths $\frac{l_1}{l_2}$ of the two arcs between points $A$ and $B$ as shown in the figure,such that the equivalent resistance $R$ of the sub-circuit between these points is equal to $\frac{8}{3}\,\Omega$.

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If three resistors of resistance $2 \,\Omega$,$4 \,\Omega$ and $5 \,\Omega$ are connected in parallel,then the total resistance of the combination will be:

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