DC Circuits: Why Is Voltage Across Inductor 0 at Steady State?

In summary, if the inductor is at DC steady state, it will act like a short with no electrical resistance. As a result, the voltage across the inductor will be zero according to Ohm's law. This is because the current through the inductor is no longer changing, resulting in a di/dt of 0 amps/sec and a voltage drop of 0 volts.
  • #1
dleccord
11
0
if the inductor is at dc steady state, the inductor would act like a short.

in this case, why would the voltage across the inductor be zero?

thanks in advance.
 
Physics news on Phys.org
  • #2
According to Ohm's law E=IR if R=0 (a short) then E is also 0.
 
  • #3
dleccord said:
if the inductor is at dc steady state, the inductor would act like a short.

in this case, why would the voltage across the inductor be zero?

thanks in advance.

A perfect electrical short means there is no electrical resistance. If there is no electrical resistance then there can be no voltage across the short. E=IR or Voltage=Amps times Resistance. As you can see as the resistance decreases so does the voltage.
 
  • #4
wow thanks, i can't believe i didnt look at ohm's law's simplest.

i was looking for V=Ldi/dt, trying to figure that out but confused myself.

thanks ruko.
 
  • #5
At t=[tex]\infty[/tex], the current through the inductor is maximum (for "charging" phase) or minimum (for "discharging" phase) and is no longer changing. Therefore, di/dt=0 amps/sec, so the voltage drop across the inductor is V= L(di/dt) = 0 volts.
 

1. Why is the voltage across an inductor 0 at steady state in a DC circuit?

In a DC circuit, the voltage across an inductor is 0 at steady state because of the principle of inductance. An inductor resists changes in current flow, so when a DC current is applied, the inductor initially resists the change and causes a buildup of magnetic energy. Once the current reaches a steady state, the magnetic field around the inductor remains constant and the inductor no longer resists the current, resulting in a voltage of 0.

2. What is the role of an inductor in a DC circuit?

An inductor is an electronic component that stores energy in the form of a magnetic field. In a DC circuit, the inductor acts as a temporary reservoir for electrical energy, resisting changes in the current flow and smoothing out fluctuations in the circuit.

3. Can the voltage across an inductor ever be non-zero in a DC circuit?

Yes, there are scenarios in which the voltage across an inductor can be non-zero in a DC circuit. For example, if the current in the circuit is changing, the inductor will resist the change and create a non-zero voltage. Additionally, in a circuit with multiple inductors, the voltage across one inductor may be non-zero while the others have a voltage of 0.

4. How does the voltage across an inductor in a DC circuit compare to that of a resistor?

The voltage across an inductor in a DC circuit is different from that of a resistor. In a resistor, the voltage and current are in phase, meaning they both peak and drop at the same time. In an inductor, the voltage and current are out of phase, meaning the voltage peaks after the current peaks. Additionally, a resistor dissipates energy in the form of heat, while an inductor stores energy in its magnetic field.

5. Can the voltage across an inductor change in a DC circuit?

Yes, the voltage across an inductor can change in a DC circuit. As mentioned before, if the current in the circuit is changing, the inductor will resist the change and create a voltage. Additionally, if the properties of the inductor, such as its inductance or resistance, are altered, the voltage across the inductor will also change.

Similar threads

Replies
6
Views
775
  • Electromagnetism
Replies
6
Views
1K
Replies
8
Views
1K
  • Electromagnetism
Replies
10
Views
2K
Replies
24
Views
6K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
Replies
2
Views
1K
  • Electrical Engineering
Replies
13
Views
1K
Replies
13
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
3K
Back
Top