$A$ heater coil connected to a supply of $220 \ V$ is dissipating some power $P_1$. The coil is cut into half and the two halves are connected in parallel. The heater now dissipates a power $P_2$. The ratio of power $P_1 : P_2$ is

There are three resistance coils of equal resistance. The maximum number of distinct equivalent resistances you can obtain by connecting them in any manner you choose,being free to use any number of the coils in any way,is

$A$ network of resistors is connected to a $16\; V$ battery with internal resistance of $1\; \Omega$ as shown in Figure:
$(a)$ Compute the equivalent resistance of the network.
$(b)$ Obtain the current in each resistor.
$(c)$ Obtain the voltage drops $V_{A B}, V_{B C}$ and $V_{C D}$.

The figure shows a tetrahedron where each edge has a resistance $r$. Choose the correct statement$(s)$ related to the equivalent resistance between any two vertices.

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 ................. $\Omega$.

$A$ uniform ring of conducting wire of radius $r$ has resistance $R$. $A$ and $B$ are two points on the ring which subtend an angle $\theta$ at the centre of the ring. The equivalent resistance between points $A$ and $B$ is: