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  • A battery of 10 volt is connected to a resistance of through a variable resistance R, the amount of charge whic

A battery of 10 volt is connected to a resistance of 20 \, \mathrm{ohm} through a variable resistance R, the amount of charge which has passed in the circuit in 4 minutes, If the variable resistance resistance \mathrm{R} is increased at the rate of 5 ohm/min.

Option: 1

\mathrm{120 \, coulomb }


Option: 2

\mathrm{120 \log _e 2\: coulomb}


Option: 3

\mathrm{\frac{120}{\log _e 2}\, coulomb}


Option: 4

\mathrm{\frac{60}{\log _e 2}\, coulomb}


Answers (1)

best_answer

\mathrm{I=\frac{d q}{d t} =\frac{V}{R}}

\mathrm{\frac{d q}{d R} \cdot \frac{d R}{d t}=\frac{V}{R} \quad d q=12 V \frac{d R}{R} }

\mathrm{q=12 V \int_{20}^{40} \frac{d R}{R}=12 V\left(\log _e 40-\log _e 20\right) }

\mathrm{=12 \times 10 \times \log _e 2 }

Posted by

seema garhwal

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