In the arrangement of resistors shown here, what fraction of I will pass through 5\(\Omega\) resistor?

You are given a 8 \(\Omega\) resistor. What length of constant wire of resistance 120\(\Omega\) m^-1 should be joined in parallel with it to get a value of 6\(\Omega\)?

Two identical cells of e.m.f 1.5V each joined in parallel provide supply to an external circuit consisting of two resistors of 17\(\Omega\) each joined in parallel. A very high resistance voltmeter reads the terminal voltage of the cells to be 1.4V. What is the internal resistance of each cell?

Storage battery of a car has an e.m.f of 12V. If the internal resistance of the battery is 0.4\(\Omega\) What is the maximum current that can be drawn from the battery?

Four identical cells, each of emf 2V are joined in parallel providing supply of current to external circuit consisting of two 15\(\Omega\) resistors joined in parallel. The terminal voltage of the cells as read by an ideal voltmeter is 1.6V Calculate the internal resistance of each cell.

Calculate the value of unknown resistance X and the current drawn by the circuit assuming that no current flows through the galvanometer. Assume the resistance per unit length of the wire AB to be 0.01\(\Omega\)/cm.

Calculate (i)the equivalent resistance between A and B of the electrical network given below and (ii)the current drawn by the network in a battery of e.m.f 8V internal resistance 1\(\Omega\) is connected across the points A and B.

The length of the potentiometer wire is 600cm and it carries a current of 40mA. For a cell of e.m.f. 2V and internal resistance 10\(\Omega\) the null point is found to be at 500 cm. If a voltmeter is connected across the cell the balancing length is decreased by 10 cm. Find
(i) the resistance  of whole wire
(ii) reading of voltmeter and
(iii) resistance of voltmeter.

With a certain unknown resistance X in the left gap and a resistance of 8\(\Omega\) in the right gap, null point is obtained on the meter-bridge wire. On putting another 8\(\Omega\) resistor in parallel with the 8\(\Omega\) resistor in the right gap, the null point is found to shit by 15cm. Find the value of X from these observations.