The brightness of a bulb will be reduced,if a resistance is connected in

Each of the resistors shown in the figure has resistance $R.$ Find the equivalent resistance between $A$ and $B :$

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

Six equal resistances are connected between points $P, Q$ and $R$ as shown in the figure. Then the net resistance will be maximum between:

Three resistances of $1\, \Omega$ each are connected in parallel. Such a connection is then connected in series with a $\frac{2}{3}\, \Omega$ resistor. The resultant resistance will be ........... $\Omega$.

When two conducting wires are connected in series,the equivalent resistance is $14\, \Omega$,and when they are connected in parallel,the equivalent resistance is $3.43\, \Omega$. The resistance of the wire with the higher value is ................. $\Omega$.