Question

A fully charged capacitor C with initial
charge q, is connected to a coil of self
inductance L at t = 0. The time at which
the energy is stored equally between the electric and the magnetic fields is :-​

Answer 1

Explanation:

In LC oscillation, energy is transferred C to L or L to C, maximum energy in L is

2

1

LI

max

2

.

Maximum energy in C is

2C

q

max

2

Energy will be equal when,

2

1

LI

2

=

2

1

×

2

1

LI

max

2

⇒I=

2

I

max

I=I

max

sinωt=

2

1

I

max

ωt=

4

π

⇒

T

2π

t=

4

π

⇒t=

8

T

t=

8

1

2π

LC

=

4

π

LC

⇒t=

4

π

LC

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