A coil of self inductance $L$ is connected in series with a bulb B and an a.c. source. Brightness of the…

A coil of self inductance $L$ is connected in series with a bulb B and an a.c. source. Brightness of the bulb decreases when
  1. frequency of a.c. source is decreased.
  2. number of turns in the coil is reduced.
  3. a capacitance of reactance $\left(X_L-X_C\right)$ is included in the same circuit.
  4. an iron rod is inserted in the coil.

Solution

When iron rod is inserted, the coil magnetizes the iron rod increasing the magnetic field. $\therefore \quad$ Inductance (L) of coil increases. $\mathrm{V}=\mathrm{L} \frac{\mathrm{di}}{\mathrm{dt}}$ $\therefore \quad$ Voltage drop across the coil increases i.e. voltage drop at bulb decreases. $\therefore \quad$ Brightness of bulb decreases. /

Asked in: MHT CET 2024 (04 May Shift 2)

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