In the figure shown,what is the current (in Ampere) drawn from the battery? You are given $R_1 = 15\,\Omega$,$R_2 = 10\,\Omega$,$R_3 = 20\,\Omega$,$R_4 = 5\,\Omega$,$R_5 = 25\,\Omega$,$R_6 = 30\,\Omega$,and $E = 15\,V$.

By which of the following single load resistance should the load bridge be replaced so that the power to the load remains unchanged (in $\Omega$)? (Given $r = 3 \ \Omega$ for each resistor in the bridge)

$A$ man has some identical resistors,each with a resistance $R = 10 \, \Omega$ and a maximum current rating of $1 \, \text{A}$. He needs to create a circuit with an equivalent resistance of $5 \, \Omega$ that can handle a total current of $4 \, \text{A}$. What is the minimum number of such resistors required?

What is meant by parallel connection of resistors? Derive the equation for equivalent resistance in a parallel circuit.

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

$A$ wire of resistance $R$ is divided into $10$ equal parts. These parts are connected in parallel. The equivalent resistance of such a connection will be: (in $, R$)