Find the potential difference between $a$ and $b$,as shown in the below circuit. (in $V$)

Find the current passing through the battery immediately after the key $(K)$ is closed. It is given that initially all the capacitors are uncharged. (Given that $E = 5 \, V$, $R = 6 \, \Omega$) (in $A$)

In an experiment, a graph was plotted of the potential difference $V$ between the terminals of a cell against the circuit current $i$ by varying the load rheostat. The internal conductance of the cell is given by:

Two voltameters,one of copper and another of silver,are joined in parallel. When a total charge $q$ flows through the voltameters,equal amounts of metals are deposited. If the electrochemical equivalents of copper and silver are $z_1$ and $z_2$ respectively,the charge which flows through the silver voltameter is

$A$ cell has an emf of $2 \, V$ and an internal resistance of $0.1 \, \Omega$. It is connected to an external resistance of $3.9 \, \Omega$. The terminal voltage across the cell will be: (in $V$)

An electric iron draws $5\, A$,a $TV$ set draws $3\, A$,and a refrigerator draws $2\, A$ from a $220\, V$ main line. The three appliances are connected in parallel. If all three are operating at the same time,the fuse used should be of ............. $A$. (in $, A$)