The fractional half width w d of a resonance curve, such as the ones in Figure, is the width of the curve at half the maximum value of I Show that w d w R(3C L)1 2, where w is the angular frequency at resonance Note that the ratio w d w increases with R as Figure show ...

We use the expressions found in Problem 3145 3CR3C R 4LC ar 2LC We also use Eq 314 Thus Fo ...

The fractional half-width w d of a resonance curve, such as the ones in Figure, is

Question:

The fractional half-width Δ w d of a resonance curve, such as the ones in Figure, is the width of the curve at half the maximum value of I. Show that Δ w d / w = R(3C/L)1/2, where w is the angular frequency at resonance. Note that the ratio Δ w d / w increases with R as Figure show