Three rods AB - BC and AC having thermal resistances of 10-10-20 K - W respectively- are connected as shown in the figure- Ends A and C are maintained at constant temperatures of 100- C and 0- C respectively- The rate at which the heat is crossing junction B in SI units is

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Standard XII

Physics

Self Induction

Three rods AB...

Question

Three rods $A B, B C$ and $A C$ having thermal resistances of $10, 10, 20 K / W$ respectively, are connected as shown in the ﬁgure. Ends $A$ and $C$ are maintained at constant temperatures of $100^{\circ} C$ and $0^{\circ} C$ respectively. The rate at which the heat is crossing junction $B$ (in SI units ) is

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Solution

Let
$H_{1}$ be heat through section $A B C$
$H_{2}$ be heat through section $A C$
Thermal resistance of section $A B C = 20 K / W$ ( as $A B$ and $B C$ are in series)

Heat crossing junction B is $H_{1} = \frac{Δ T}{R_{A B C}}$
$\Rightarrow H_{1} = \frac{100}{20} = 5$

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Three rods AB,BC and AC having thermal resistances of 10,10,20 K/W respectively, are connected as shown in the ﬁgure. Ends A and C are maintained at constant temperatures of 100∘C and 0∘C respectively. The rate at which the heat is crossing junction B (in SI units ) is

Let H1 be heat through section ABC H2 be heat through section AC Thermal resistance of section ABC=20 K/W ( as AB and BC are in series) Heat crossing junction B is H1=ΔTRABC ⇒H1=10020=5

Let
$H_{1}$ be heat through section $A B C$
$H_{2}$ be heat through section $A C$
Thermal resistance of section $A B C = 20 K / W$ ( as $A B$ and $B C$ are in series)

Heat crossing junction B is $H_{1} = \frac{Δ T}{R_{A B C}}$
$\Rightarrow H_{1} = \frac{100}{20} = 5$