combination of resistors, resitors with varying resistivity and cross section area

Circuit Solving: Grouping of Resistors| Zero resistance wire problems| Infinite ladder network | Calculation of resistance in case of varying resistivity or varying area of cross section

The breaking stress on a unit cross sectional area is

Assertion: The resistance of a conductor decreases with increase in cross sectional area. Reason: On increasing the cross sectional area of a conductor, more current will flow through the conductor.

A conductor of length l, area of cross section A and resistivity rho has resistance = R. It is connected across a cell of voltage V . What will be the current flowing resistor if its length is doubled and cross section area is halved.

(a) Why does resistance increase in a series combination of resistors ? (b) Why does resistance decrease in a parallel combination of resistors ?

Consider the combination of resistor, The equivalent resistance between a and b is

A combination consists of three resistors in series. Four similar sets are connected in parallel. If the resistance of each resistor is 2 Omega , find the resistance of this combination.

A : For a given conductor , electric current does not vary even if its cross sectional area varies . R : A conductor remains unchanged when current flows through it .

A certain piece of copper is to be shaped into a conductor of minimum resistance, its length and cross sectional area should be