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Question:

A coil of self-inductance L is connected in series with a bulb B and an AC source. Brightness of the bulb decreases when:

Number of turns in the coil is reduced

A capacitance of reactance XC=XL is included in the same circuit

An iron rod is inserted in the coil

Frequency of the AC source is decreased

Solution:

The correct option is D. An iron rod is inserted in the coil.

As the iron rod is inserted, the magnetic field inside the coil magnetizes the iron increasing the magnetic field inside it. Hence, the inductance of the coil increases. Consequently, the inductive reactance of the coil increases. As a result, a larger fraction of the applied AC voltage appears across the inductor, leaving less voltage across the bulb. Therefore, the brightness of the light bulb decreases.