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  1. A plastic sleeve of outer radius r0 = 1 mm covers a wire (radius r = 0.5 mm) carrying electric current, Thermal conductivity of the plastic is 0.12 W/mK. The heat transfer coefficient on the outer surface of the sleeve exposed to air is 25 W/m2K. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will
    1. increase
    2. remain the same
    3. decrease
    4. be zero
Correct Option: A


r0 = 1 mm, k = 0.15 W/m-k
h = 25 W/m2 -K

rc =
k
for cylindrical shape
h0

=
0.15
× 1000 = 0.15 × 40 = 6mm
25

∴ rc > r0
⇒ The heat transfer from the wire to the ambient will increase



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