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Three rods of material 'x' and three rod...

Three rods of material 'x' and three rods of materialy are connected as shown in All the rods are of identical length and cross section If the end `A` is maintained at `60^(@)C` and the junction `E` at `10^(@0C` find effective Thermal Resistance Given length of each rod =1 area of cross-section =A conductivity of x=K and conductivity of `y =2K`
.

A

`(4l)/(3KA)`

B

`(7l)/(6KA)`

C

`(4KA)/(3l)`

D

`(7KA)/(3l)`

Text Solution

Verified by Experts

The correct Answer is:
B
No heat is flowing through the road `CD`
`R_(eq)=R_(AB)+R_(BE),R_(BE) =(2RxxR)/(2R+R)=(2R)/(3)`
`R_(eq) = (R )/(2)+(2R)/(3)=(7R)/(6) =(7l)/(6KA)`
.
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Knowledge Check

  • Seven identical rods of matrical of thermal conductivity k are connected as shown in All the rod are of identical length l and cross sectional area A if the one end b is kept at 100^(@)C and the other end is kept at 0^(@)C The temperatures of the junctions C,D and E(theta_(D)andtheta_(E)) be in the steady state .

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  • Seven identical rods of material of thermal conductivity K are connected as shown in figure. All the rods are of identical length L and cross sectional area A_1 . If one end A is kept at 100^@C and the other end B is kept at 0^@C , what would be the temperature of the junctions C, D and E ( T_C,T_D and T_E ) in the steady state?

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  • Seven identical rods of material of thermal conductivity k are connected as shown in Fig. All the rods are of identical length l and cross sectional area A If the one end B is kept at 100^@C and the other end is kept at 0^@C what would be the temperatures of the junctions C, D and E(theta_C , theta)D and theta_E ) in the steady state?

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