Question

In the figure two identical bulbs, each with filament resistance $100\Omega$ are connected to a resistor $R=100\Omega$, and an inductor $(X_L=100\Omega )$ as shown in the Figure. Then, which bulb glows more

• A. $B_1$
• B. $B_2$
• C. both glow equally
• D. cannot be predicted

Answer 1

The correct option is B $B_2$

Impedance in branch containing bulb1

$Z_1=200\Omega$

impedance in branch containing bulb 2

$Z_2=\sqrt{R^2+{X_L}^2}$

$Z_2=\sqrt{{100}^2+{100}^2}$

$Z_2=100\sqrt{2}$

Since,

$Z_1>Z_2$

$B_2$ will glow more than $B_1$.