Home
Class 12
PHYSICS
Three rods of same cross-section but dif...

Three rods of same cross-section but different length and conductivity are joined in series . If the temperature of the two extreme ends are `T_(1) and T_(2) (T_(1)gtT_(2))` find the rate of heat transfer H.

Text Solution

Verified by Experts

Total thermal resistance R=`R_1+R_2+R_3=(L_1)/(k_1A)+(L_2)/(K_2A)+(L_3)/(K_3A)`
now, `H=(T_1-T_2)/( R)`
`H=(T_1-T_2)/((L_1)/(k_1A)+(L_2)/(k_2A)+(L_3)/(k_3A))`
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE ENGLISH|Exercise Try Youself|16 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-A) Objective Type questions (one option is correct)|50 Videos
  • TEST2

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|2 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos

Similar Questions

Explore conceptually related problems

The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperature T_(1) and T_(2) (T_(1) gt T_(2)) . The rate of heat transfer. (dQ)/(dt) , through the rod in a steady state is given by

Three rods of the same length and the same area of the cross-section are joined. The temperature of two ends one T_(1) and T_(2) as shown in the figure. As we move along the rod the variation of temperature are as shown in the following [Rods are insulated from the surrounding except at the faces]

Two bars of same length and same cross-sectional area but of different thermal conductivites K_(1) and K_(2) are joined end to end as shown in the figure. One end of the compound bar it is at temperature T_(1) and the opposite end at temperature T_(2) (where T_(1) gt T_(2) ). The temperature of the junction is

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thicknesses x and 4x, respectively are T_(2) and T_(1)(T_(2)gtT_(1)) . The rate of heat of heat transfer through the slab, in ? steady state is [(A(T_(2)-T_(1))/(x)]f , with f equal to :-

Two identical rods of length (L) , area of cross-sectional (A) and thermal conductivity k are joined end to end. If temperature difference of free ends is DeltaT , the heat Q_(0) flows along rods per second. Find the total heat flowing per second along the rods if the two rods are placed parallel and temperature difference of free ends is DeltaT . There is no heat loss from curved surface.

A hollow tube has a length l, inner radius R_(1) and outer radius R_(2) . The material has a thermal conductivity K. Find the heat flowing through the walls of the tube if (a) the flat ends are maintained at temperature T_(1) and T_(2) (T_(2)gtT_(1)) (b) the inside of the tube is maintained at temperature T_(1) and the outside is maintained at T_(2) .

The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x respectively. Temperatures on the opposite faces of composite slab are T_(1) and T_(2) where T_(2)gtT_(1) , as shown in fig. what is the rate of flow of heat through the slab in a steady state?

The temperature of the two outer surfaces of a composite slab consisting of two materials having coefficient of thermal conductivity K and 2K and thickness x and 4x respectively are T_2 and T_1(T_2gtT_1) . The rate of heat transfer through the slab in steady state is ((AK(T_2 -T_1))/x)f . where, f is equal to .

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T_(1) = 300K and T_(2) = 100 K , as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K_(1) and K_(2) respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K_(1)//K_(2)= __________.

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