A cylinder of radius R is surrounded by a cyl | vedclass

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Question

Equivalent thermal resisitance,

$\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}$

$\frac{{k\pi {{\left( {2R} \right)}^2}}}{L} = \frac{{{k_1}

Vedclass · Accepted Answer

$\frac{{{K_1} + {3K_2}}}{4}$

Vedclass · Answer

Equivalent thermal resisitance,

$\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}$

$\frac{{k\pi {{\left( {2R} \right)}^2}}}{L} = \frac{{{k_1}\pi {R^2}}}{L} + \frac{{{k_2}\pi \left[ {{{\left( {2R} \right)}^2} - {R^2}} \right]}}{L}$

$ \Rightarrow 4k = {k_1} + 3{k_2}$

$ \Rightarrow k = \frac{{{k_1} + 3{k_2}}}{4}$

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