A capacitor of capacitance \( 100 \mu \mathrm{F} \) is connected to...

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A capacitor of capacitance \( 100 \mu \mathrm{F} \) is connected to a battery of 20 volts for a long time and then disconnected
\( \mathrm{P} \) from it. It is now connected across a long solenoid having

W 4000 turns per metre. It is found that the potential difference across the capacitor drops to \( 90 \% \) of its maximum value in 2.0 seconds. Estimate the average magnetic field produced at the centre of the solenoid during this period.
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