If all the resistors shown in the circuit have a value of $2\, \Omega$ each, find the equivalent resistance between points $A$ and $B$.

The figure shows three resistor configurations $R_1, R_2$, and $R_3$ connected to a $3 \text{ V}$ battery. If the power dissipated by the configurations $R_1, R_2$, and $R_3$ is $P_1, P_2$, and $P_3$ respectively, then:

Two electric bulbs ($60\,W$ and $100\,W$ respectively) are connected in series. The current passing through them is

The effective resistance between points $A$ and $B$ for the following network is (each branch has a resistance of $R$):

$A$ 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 $V_{C D}$.

$A$ piece of wire of resistance $4\,\Omega$ is bent through $180^o$ at its mid-point and the two halves are twisted together. The new resistance is ............ $\Omega$.