Show that if n identical conductors are joined in series, the combined resistance is `n^2` times as great as when they are joined in parallel.

A set of n identical resistors, each of resistance R ohm when connected in series, has effective resistance X ohm and when connected in parallel the effective resistance is Y ohm. The relation between R, X and Y is given by-

A few capacitors are joined in series. Find the equivalent capacitance of the combination.

A galvanometer together with an unknown resistance in series is connected across two identical batteries of each 1.5V When the batteries are connected in series, the galvanometer records a current of 1A and when the batteries are connected in parallel, the current is 0.6A. What is the internal resistance of the battery ?

Show that , if the range of an ammeter is increases n times, its resistance decreases n times.

Show that , if the range of a voltmeter is increases n times, its resistance also increases n times.

Show that when a number of resistance are connected in parallel their equivalent resistance is smaller than the smallest of them .

Two capacitors having capacitances 0.1muF " and "0.01muF are joined in series. A potential difference of 22V is applied to the combination. If the capacitors are now joined in parallel, what will be the change in stored energy?

Show that, if the range of an ammeter is increased n times, its resistance becomes (1)/(n) times its previous value.