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Question: An inductance has a high resistance to \(AC\) and low to \(DC\). When a \(DC\) voltage source having...

An inductance has a high resistance to ACAC and low to DCDC. When a DCDC voltage source having some ACAC component superimposed on it sends current through an inductance to a load resistance:
A. the DCDC voltage falls appreciably across the load and ACAC component falls by only a small amount
B. the ACAC voltage and DCDC voltage falls by the same amount
C. both ACAC and DCDC voltage falls by the same small percentage
D. both ACAC and DCDC voltage falls to nearly zero

Explanation

Solution

The tendency of an electrical conductor to resist a change in the electric current passing through it is known as inductance. A magnetic field is created around a conductor by the passage of electric current. The field strength is proportional to the current magnitude and follows any variations in current.

Complete step by step answer:
So far, we've looked at the behaviour of inductors linked to DCDC sources, and ideally we now understand that when a DCDC voltage is placed across an inductor, the increase of the current through it is dictated by the inductor's self-induced or back emf value, rather than being instantaneous.

Also, after five time constants, the inductor current continues to climb until it achieves its maximum steady state condition. The greatest current flowing through an inductive coil is limited solely by the resistive fraction of the coil's windings in Ohms, which is defined by the voltage-current ratio, V/RV/R, as we know from Ohm's law. The flow of current through an inductor behaves substantially differently when an alternating or AC voltage is put across it than when a DCDC voltage is supplied.

The phase mismatch between the voltage and current waveforms is caused by the action of a sinusoidal supply. In an ACAC circuit, the resistance to current flow through the coils' windings is determined not only by the coil's inductance, but also by the frequency of the ACAC waveform.

Hence option A is correct.

Note: The resistance to current passing through a coil in an ACAC circuit is governed by the circuit's ACAC resistance, often known as Impedance (Z). However, because resistance is usually linked with DCDC circuits, the term reactance is commonly used to distinguish DCDC resistance from ACAC resistance.