Physics · Current Electricity
Consider a cylindrical torch battery of length l modeled as a thin cylindrical inner bar of radius a and a concentric thin cylindrical outer shell of radius b, filled in between with an electrolyte of resistivity ρ. If the battery is connected to an external resistance R, the maximum Joule heating in R will take place for:
- 1R = ρ2πl(ba)
- 2R = ρ2πl ln(ba)✓
- 3R = ρπl ln(ba)
- 4R = 2ρπl ln(ba)
Correct answer
R = ρ2πl ln(ba)
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