Two cylindrical conductors with equal cross-sections and different resistivites `rho_(1)` and `rho_(2)` are point end to end. Find the charge at the boundary of the conduction if a current `I` flows from conductor 1 to conductor 2

Two long straight cylindrical conductors with resistivities rho_(1)andrho_(2) repectively are joined together as shown in figure . The radius of each of the conductor is a . If a uniform total current I flows through the conductors , the magnitude of the total free charge at the interface of the two conductor is

Two rods having equal lengths and equal cross-sections but different specific resistances rho_(1)" and "rho_(2) are joined at one end as shown in the figure given above. What is the effective specific resistance of the combination ?

Consider a conductor of variable cross section in which current is flowing from cross section 1 to 2. Then

If the potential difference across the ends of a conductor is doubled, the current flowing through it gets

A cylindrical conductor of length l and inner radius R_(1) and outer radius R_(2) has specific resistance rho . A cell of emf epsilon is connected across the two lateral faces of the conductor. Find the current drown from the cell.

A cylindrical conductor of length l and uniform area of cross-section A has resistance R . Another conductor of length 2 l and resistance R of the same material has area of cross-section :

Two conducting layers of length L each specific resistivites rho_(1) and rho_(2) and cross-sectional areas A_(1) and A_(2) respectively are connected to a voltage source V such that current flow lines do not cross from one layer to the other. (i). Find the total current in the system and describe how it is divided between the 2 layers (ii). Find the total current when a third layer of cross-sectional area A_(1)+A_(2) , length L and specific resistivity rho_(3) is attached at one of the ends of the given system.

Two conductors of same cross-section and conductivities K, 3K and length 3 d and d respectively are connected end to end as shown in figure. Temperature of end of first conductor is theta_(1) and that of second conductor is theta_(2) .the temperature of junction is steady state is (theta_(2)gttheta_(1))