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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Current Electricity

Olympiad workbook · NSEP · Current Electricity

What amount of heat will be generated in a coil of resistance...

What amount of heat will be generated in a coil of resistance R(ohm)R(\mathrm{ohm}) due to a total charge QQ (coulomb) passing through it if the current in the coil decreases down to zero halving its value every Δt\Delta \mathrm{t} second?

Options

  1. A12Q2RΔt\frac{1}{2} \frac{\mathrm{Q}^2 \mathrm{R}}{\Delta \mathrm{t}}
  2. BQ2RΔtln⁡2\frac{\mathrm{Q}^2 \mathrm{R}}{\Delta \mathrm{t}} \ln 2
  3. C12Q2RΔtln⁡2\frac{1}{2} \frac{\mathrm{Q}^2 \mathrm{R}}{\Delta \mathrm{t}} \ln 2
  4. D14Q2RΔt\frac{1}{4} \frac{\mathrm{Q}^2 \mathrm{R}}{\Delta \mathrm{t}}

Correct answer

C. 12Q2RΔtln⁡2\frac{1}{2} \frac{\mathrm{Q}^2 \mathrm{R}}{\Delta \mathrm{t}} \ln 2

Step-by-step solution

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