An LC circuit contains a 20 mH inductor and a `50 muF` capacitor with an initial charge of 10 mC. The resistance of circuit is negligible. Let the ins

Question

An LC circuit contains a 20 mH inductor and a `50 muF` capacitor with an initial charge of 10 mC. The resistance of circuit is negligible. Let the ins

An LC circuit contains a 20 mH inductor and a `50 muF` capacitor with an initial charge of 10 mC. The resistance of circuit is negligible. Let the instant the circuit is closed be t = 0.
What is the total energy stored initially ? Is it conserved during LC oscillations ?

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

Minimum number of capacitors each of `8 muF` and 250 V used to make a composite capacitor of `16 muF` and 1000 V are

2 Answers 4 Views

The `500 muF` capacitor is charged at a steady rate of `100 mu C//s`. The potential difference across the capacitor will be 10 V after an interval of

2 Answers 7 Views

An L-C circuit contains 20 mH inductor and a `50 muF` capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the

2 Answers 5 Views

A circuit containing a 80 mH inductor and a `60 mu F` capacitor in series is connected to a 230 V 50 Hz supply. The resistance of the circuit is negli

2 Answers 4 Views

A metal foil of negligible thickness is introduced between the two plates of a capacitor at the centre. The capacitance of capacitor will be

2 Answers 4 Views

A resistance of `100 Omega`, a coil inductance 5 mH and a capacitor of `10 muF` are joined in series. When this L-C-R circuit is joined to a suitable

2 Answers 5 Views

A circuit of negligible resistance has an inductane of 10 mH and a capacitance of 0.1 `muF`. The resonant frequency of the circuit is nearly

2 Answers 4 Views

A capacitor, a `15Omega` resistor and 101.5 mH inductor are placed in series with 50 Hz. AC source. Calculate the capacitance of the capacitor, if the

2 Answers 7 Views

An Lc circuit contains a 40 mH inductor and a `25 mu F` capacitor. The resistance of the circuit is negligible.The time is measured from the instant t

2 Answers 4 Views

An LC circuit contains a 20 mH inductor and `25 mu F` capacitor with an initial charge of 5 mC. The total energy stored in the circuit initially is

2 Answers 6 Views

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

Given Inductance `L = 20 mH = 20xx10^(-3)H`
Capacitance of capacitor
`C=50 mu f=50xx10^(-6)F`
Initial charge on the capacitor,
`Q_(i)=10mc =10xx10^(3)C`
The total energy stored across the capacitor initially,
`E = (q^(2))/(2C)`
`therefore E_(i)=(Q_(i)^(2))/(2C)=((10xx10^(-3))^(2))/(2xx50xx10^(-6))=(10^(-4))/(10^(-4))1J`.
Yes, this energy is conserved during LC oscillations.