Resistors of $10\, \Omega, 5\, \Omega, 7\, \Omega$, and $3\, \Omega$ are connected along the sides $AB, BC, CD$, and $DA$ of a square, respectively. A resistor of $10\, \Omega$ is connected across the diagonal $AC$. What is the equivalent resistance between points $A$ and $B$ in $\Omega$?

In the given circuit,all resistances are of value $R \ \Omega$ each. The equivalent resistance between $A$ and $B$ is:

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

$A$ wire has resistance $12\,\Omega$. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to ................ $\Omega$.

$6 \Omega$ and $12 \Omega$ resistors are connected in parallel. This combination is connected in series with a $10 \text{ V}$ battery and a $6 \Omega$ resistor. What is the potential difference between the terminals of the $12 \Omega$ resistor (in $\text{ V}$)?

An electric kettle has two heating coils. When one of the coils is connected to an a.c. source,the water in the kettle boils in $10$ minutes. When the other coil is used,the water boils in $40$ minutes. If both the coils are connected in parallel,the time taken by the same quantity of water to boil will be ...... $min$.