The emf of a cell having internal resistance $$1 \Omega$$ is balanced against a length of $$330 \mathrm{~cm}$$ on a potentiometer wire. When an external resistance of $$2 \Omega$$ is connected across the cell, the balancing length will be :

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

If the galvanometer $$G$$ does not show any deflection in the circuit shown, the value of $$R$$ is given by:

The equivalent capacitance of the system shown in the following circuit is: