A `1.5 mu F` capacitor is charged of 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so tha

Question

A `1.5 mu F` capacitor is charged of 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so tha

A `1.5 mu F` capacitor is charged of 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so that LC oscillations occur. Assuming that the circuit contains no resistance, the maximum current in this coil shall be close to
A. `1.4 A`
B. ` 1.2 A`
C. `0.8 A`
D. `0.6 A`

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - D
Here `q_(0)=CV=1.5xx10^(-6)xx60=9xx10^(-5)C`
Oscillating charge in LC circuit, `q=q_(0)sin (omega t+(pi)/(2))`
`therefore` Oscillating current, `I=(dq)/(dt)=q_(0)omega cos(omega t+(pi)/(2))`
`thereofre` Maximum current,
`I_(0)=q_(0)omega=(q_(0))/(sqrt(LC))" "(because omega = (1)/(sqrt(LC)))`
`=(9xx10^(-5))/(sqrt(15xx10^(-3)xx1.5xx10^(-6)))=0.6 A`