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Derive an expression for shape factor in the following cases
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(i) Hemispherical shape of radius R

(ii) Two concentric cylinders

i)for shape factor of hemispherical shape of radius R We have to consider two surface first one is base circular surface and dome shape surface

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Surface 1 is flat and thus F11=0

From summation rule :F11+F12=1→F12=1

From reciprocity rule: A1

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