Two cylindrical rods of same cross-section area and same length are connected in series to an ideal cell as shown.The resistivity of left rod is `rho` and that if right rod is `2 rho` Then the variation of potential and electric field at any point `P` distant `x` from left end of combined rod system are given by

A conductor of resistivity rho and resistance R, as shown in the figure, is connected across a battery of emf V. Its radius varies from a at left end to b at right end. The electric field at a point P at distance x from left end of it is

Two rods A and B of same cross-sectional area A and length l are connected in series between a source (T_(1)=100^(@)C) and a sink (T_(2)-0^(@)C) as shown in figure. The rod is laterally insulated. The ratio of the thermal resistance of the rods is

Three rods of same material and of equal cross sectional area and length have been connected together as shown in the figure. The temperature of the junction of the rods approximately is

Two rods A and B of same cross sectional are A and length l connected in series between a source (T_(1) =100^(@)C) and a sink (T_(2) =0^(@)C) as shown in The rod is laterally insulated The ratio of thermal resistance of the rod is .

A current I flows through a cylindrical rod of uniform cross-section area A and resistivity rho . The electric flux through the shaded cross-section of the rod as shown in figure is

A cylindrical solid of length L and radius a is connected across a source of emf V and negligible internal resistance shown in figure. The resistivity of the rod at point P at a distance x from left end is given by rho=bx (where b is a positive constant). Find the electric field at point P.

Three rods A, B and C of the same length and cross- sectional area are joined in series as shown. The temperature at the junction of A and B , in equilibriu, is

Two cylindrical rods of same meterial have the same temperature difference between their ends. The ratio of rates of flow of heat through them is 1 : 8. The ratio of the radii of the rods are 1 : 2. What is the ratio of their lengths ?

Two rods A and B of same cross-sectional area A and length l are connected in series between a source (T_(1)=100^(@)C) and a sink (T_(2)-0^(@)C) as shown in figure. The rod is laterally insulated. If T_(A) and T_(B) are the temperature drops across the rod A and B, then

Two conducting rods A and B of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of 100° C is maintained. If thermal conductivity of A is 3 K and that of B is K then the ratio of heat current flowing in parallel combination to that flowing in series combination is