First slide

Alternating current and voltage

Question

A bulb connected in series with an air-cored solenoid is lit by an a.c. source. If a soft iron core is introduced in the solenoid, then

Moderate

Solution

$\begin{array}{l} V = Z I \\ Z = \sqrt{R^{2} + {(ω L)}^{2}} \\ L = μ_{r} μ_{0} n^{2} A l \end{array}$
$μ_{r}$ increases $\Rightarrow$ L increases $\Rightarrow$ Z increases
$I \propto \frac{1}{Z} \Rightarrow$ Bulb go dimmer

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