Question

Difficulty: Very hardElectromagnetism and Induction

An electronics technician is analyzing a circuit where a heavy-duty relay coil is controlled by a mechanical switch connected to a 24V DC power supply. Every time the switch is opened to turn off the relay, a visible spark arcs across the switch contacts, eventually causing them to fail. What electromagnetic principle primarily causes this arcing, and how does the coil's magnetic field behave to produce it?

  1. Self-induction; the sudden interruption of current causes the coil's magnetic field to collapse rapidly, inducing a high-voltage counter-EMF that bridges the switch gap.Answer
  2. B
    Capacitive discharge; the relay coil stores electrostatic energy while powered and instantly releases this accumulated charge when the circuit is broken.
  3. C
    Continuous electromagnetic induction; the steady DC source creates an oscillating magnetic field in the coil that sustains the electron flow even after the contacts separate.
  4. D
    Short circuit generation; opening the switch removes the circuit's resistance, causing the coil to draw infinite current from the power supply which arcs across the gap.

Answer

Self-induction; the sudden interruption of current causes the coil's magnetic field to collapse rapidly, inducing a high-voltage counter-EMF that bridges the switch gap.
The phenomenon described is known as inductive kickback or back-EMF, which is a direct result of self-induction. An inductor (like a relay coil) opposes any change in current. When the switch is opened, the current attempts to drop to zero instantly. The magnetic field surrounding the coil collapses rapidly. According to Faraday's Law, this rapid change in magnetic flux induces a very large voltage spike across the coil. This spike is often much higher than the original 24V supply and is strong enough to ionize the air in the small gap of the opening switch, creating an electrical arc.

Step-by-Step Solution

1
Analyze the components and their state before the switch opens.
The relay coil acts as an inductor. When powered by 24V DC, a steady current flows, and energy is stored in a stable magnetic field around the coil.
Understanding the initial steady-state condition is required to determine what changes.
2
Determine the effect of opening the switch.
Opening the switch forces the current from the power supply to drop toward zero almost instantly.
Inductors oppose sudden changes in current flow.
3
Apply Faraday's Law of Induction to the changing field.
The rapid decrease in current causes the magnetic field to collapse at high speed. This high rate of change induces a very large voltage (counter-EMF) across the coil.
Induced voltage is directly proportional to the rate of change of the magnetic flux.
4
Relate the induced voltage to the physical arcing.
The induced high voltage (often hundreds of volts) easily exceeds the breakdown voltage of the tiny air gap between the separating switch contacts, causing the air to ionize and a spark to jump.
This explains the visible symptom (the spark) and the mechanism of failure.

Key Concept

Inductive kickback (flyback voltage) caused by self-induction
Estimated Time:1m 30s
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