Model a torch battery of length l to be made up of a thin cylindrical bar of radius 'a' and a concentric thin cylindrical shell of radius 'b' filled in between with an electrolyte of resistivity ρ (see figure). If the battery is connected to a resistance of value R, the maximum joule heating in R will take place for:
Model a torch battery of length l to be made up of a thin cylindrical bar of radius 'a' and a concentric thin cylindrical shell of radius 'b' filled in between with an electrolyte of resistivity ρ (see figure). If the battery is connected to a resistance of value R, the maximum joule heating in R will take place for:
Option 1 -
R = (ρ / πl) ln(b/a)
Option 2 -
R = (ρ / 2πl)
Option 3 -
R = (ρ / 2πl) ln(b/a)
Option 4 -
R = (2ρ / πl) ln(b/a)
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1 Answer
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Correct Option - 4
Detailed Solution:
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