Question

Difficulty: Very hardDirect Current (DC) vs. Alternating Current (AC)

A technician mistakenly connects the primary coil of a 1:2 step-up transformer directly to a steady 12-volt automotive battery. After the initial connection is made and the circuit reaches a steady state, what voltage is continuously induced across the secondary coil, and what is the fundamental reason for this result?

  1. 0 volts, because a steady direct current creates a static magnetic field that cannot induce a continuous voltage.Answer
  2. B
    24 volts, because the transformer winding ratio doubles the input voltage regardless of the current type.
  3. C
    12 volts, because the direct current passes completely through the magnetic core without being stepped up by frequency alternation.
  4. D
    24 volts, because the continuous electron flow from the battery maintains a constantly expanding magnetic field.

Answer

0 volts, because a steady direct current creates a static magnetic field that cannot induce a continuous voltage.
The correct answer identifies that a 12-volt battery provides steady Direct Current (DC). While DC will create a magnetic field in the transformer's primary coil, that field will quickly become static. Electromagnetic induction requires a continuously moving or fluctuating magnetic field—which is why transformers run on Alternating Current (AC). Without a changing magnetic field, no continuous voltage is induced in the secondary coil, resulting in 0 volts.

Step-by-Step Solution

1
Identify the type of electrical source being used.
An automotive battery provides steady Direct Current (DC).
Understanding the source dictates how current will flow through the circuit.
2
Determine the characteristics of the magnetic field produced by the source.
Steady DC produces a static, unchanging magnetic field in the primary coil.
Magnetic field strength is proportional to current; a constant current yields a constant magnetic field.
3
Apply the principles of electromagnetic induction for transformers.
Induction requires a changing magnetic field (flux) to produce a voltage in the secondary coil.
Transformers rely on Alternating Current (AC) to constantly expand and collapse the magnetic field.
4
Calculate the continuous induced voltage on the secondary coil.
The induced voltage is 0 volts.
Because the DC magnetic field is static and not changing, no continuous voltage can be induced across the secondary coil, rendering the step-up ratio irrelevant.

Key Concept

Direct Current (DC) characteristics vs. Alternating Current (AC) in Electromagnetic Induction
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