In the Hay’s bridge shown in Fig. 6.9, the unknown inductance and resistance of the inductor coil are represented by the symbols L1 and R1, respectively. (a) Obtain the bridge balance conditions. (b)...

In the Hay’s bridge shown in Fig. 6.9, the unknown inductance and resistance of the

inductor coil are represented by the symbols L1 and R1, respectively.

(a) Obtain the bridge balance conditions.

(b) Show that if the Q value of the unknown inductor coil is high, the expression

for the inductance value when the bridge is balanced is independent of

frequency.

(c) If the Q value is high, calculate the value of the inductor if the bridge component values at balance are: R2 ¼ R3 ¼ 1000 U ; and C ¼ 0.02 mF.