The energy stored in an inductor is a result of the magnetic field created when an electric current flows through it. This energy can be quantified using the formula U = 1/2 LI2, where U is the energy in joules, L is the inductance in henries, and I is the current in amperes. As the current increases, the magnetic field strengthens, leading to an increase in stored energy. When the current changes, the inductor opposes this change by inducing an electromotive force (emf), which can release the stored energy back into the circuit. This principle is fundamental in various applications, including transformers and electrical circuits, where inductors play a crucial role in energy management and conversion
What happens to the energy stored in an inductor when the current through it increases?
When the current through an inductor increases, the energy stored in the inductor also increases, as it is proportional to the square of the current.
How does an inductor release stored energy back into a circuit?
An inductor releases stored energy by inducing an electromotive force (emf) when the current flowing through it changes, allowing the energy to flow back into the circuit.
What is the role of inductance in energy storage?
Inductance, measured in henries, determines how much energy can be stored in the magnetic field of the inductor for a given current. Higher inductance allows for more energy storage.
Can energy be stored in an inductor without a current flowing through it?
No, energy cannot be stored in an inductor without a current flowing through it, as the magnetic field, which stores the energy, is created by the current.
What is the relationship between current and energy stored in an inductor?
The energy stored in an inductor is proportional to the square of the current; thus, if the current doubles, the energy stored increases by a factor of four.
If the current through an inductor is doubled, how does the energy stored change?
a) It remains the same
b) It doubles
c) It increases by a factor of four
d) It decreases by half
Answer: c) It increases by a factor of four
What happens to the energy stored in an inductor when the current flowing through it decreases?
a) It increases
b) It decreases
c) It remains constant
d) It becomes zero
Answer: b) It decreases
What is the unit of inductance?
a) Joule
b) Volt
c) Henry
d) Ampere
Answer: c) Henry
When the current in an inductor is suddenly interrupted, what occurs?
a) The energy is instantly released
b) The inductor releases a high voltage spike
c) The inductor stops all current flow
d) The energy is stored indefinitely
Answer: b) The inductor releases a high voltage spike
Which law explains the behavior of induced emf in an inductor?
a) Ohm's Law
b) Faraday's Law
c) Lenz's Law
d) Kirchhoff's Law
Answer: c) Lenz's Law