The magnitude and direction of the current in the following circuit is:

$A$ light bulb of resistance $R = 16 \, \Omega$ is attached in series with an infinite resistor network with identical resistances $r$ as shown below. $A$ $10 \, V$ battery drives current in the circuit. Find the value of $r$ in $\Omega$ such that the bulb dissipates about $1 \, W$ of power.

If power dissipated in the $9 \,\Omega$ resistor in the circuit shown is $36 \,W$,the potential difference across the $2 \,\Omega$ resistor is .......... $V$

The equivalent resistance and potential difference between $A$ and $B$ for the circuit shown are respectively:

$A$ dry cell has an $e.m.f.$ of $1.5\, V$ and an internal resistance of $0.05\,\Omega$. The maximum current obtainable from this cell for a very short time interval is ................... $A$.

Total surface area of a cathode is $0.05\,m^2$ and $1\,A$ current passes through it for $1\,hour$. The thickness of nickel deposited on the cathode is (Given that density of nickel $= 9\,g/cm^3$ and its $E.C.E. = 3.04 \times 10^{-4}\,g/C$)