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If $400\; \Omega$ of resistance is made by adding four $100\; \Omega$ resistance of tolerance $5 \%$ then the tolerance of the combination is .....$\%$
The value of the resistance $R$ in figure is adjusted such that power dissipated in the $2\,\Omega $ resistor is maximum. Then the power dissipated in the $2\,\Omega $ will be ................ $W$
If a $30\, V$, $90\, W$ bulb is to be worked on a $120\, V$ line, a resistance of how many ohms should be connected in series with the bulb ............... $ohm$
An electrical circuit consists of ten $100 \,\Omega$ resistors. Out of these $10$ resistors, a group of $n _1$ resistors are connected in parallel and another group of $n _2$ resistors are separately connected in parallel. These two groups are then connected in series and this combination is connected to a voltage source of $100 \,V$. If the net current though the circuit is $2.5 \,A$. The values of $n _1$ and $n _2$ are