what is the relation between electric energy stored in capacitor and magnetic energy stored in inductor with respect to their field strengths
Answers
Answer:
The potential energy in a capacitor is stored in the form of electric field, and the kinetic energy in an inductor is stored in the form of magnetic field
Answer:
Due to energy conservation, the energy needed to drive the original current must have an outlet. For an inductor, that outlet is the magnetic field—the energy stored by an inductor is equal to the work needed to produce a current through the inductor. The formula for this energy is given as:
E
=
1
2
LI
2
(Eq. 1), where L is the inductance in units of Henry and I is the current in units of Ampere.
Energy Stored in Magnetic Field
Let’s consider Fig 1, an example of a solenoid (ℓ: length, N: number of turns, I: current, A: cross-section area) that works as an inductor. From Eq. 1, the energy stored in the magnetic field created by the solenoid is:
image
Magnetic Field Created By A Solenoid: Magnetic field created by a solenoid (cross-sectional view) described using field lines. Energy is “stored” in the magnetic field.
E
=
1
2
LI
2
=
1
2
μ
N
2
A
L
B
2
L
2
μ
2
N
2
=
B
2
2
μ
AL
.
(We used the relation
L
=
μ
N
2
A
l
and
B
=
μ
NI
/
L
. )
Therefore, the energy density
u
B
=
energy
/
volume
of a magnetic field B is written as
u
B
=
B
2
2
μ
.