Maxwell's Capacitance Bridge

Q. In a Maxwell's bridge circuit shown below,



$If{R}_3=10\Omega ,C=0.5mF,R_1=320\Omega and{R}_2=20\Omega$ at balance then _____ is the Q-factor for the unknown impedance at a supply frequency of 50 Hz.

1. 1.57

Q. For the bridge circuit shown in figure, the voltages are:

$V_1=\sqrt{2}cos1000tV,$

$V_2=2cos(1000t+{45}^{\circ })and{V}_d=0.$

The value of $R=100\Omega .\text{Then}{Z}_x\text{will be}$

1. $100\Omega$ resistor in series with 100 mH inductor
2. $100\Omega$ resistor in series with $100\mu F$ capacitor
3. $100\Omega$ resistance in parallel with 100 mH inductor
4. $100\Omega$ resistance in parallel with $100\mu F$ capacitor.

Q. Consider the AC bridge shown below. If $\omega RC=1and\Delta C/C<0.01,$ then the ratio $\left|\frac{V_0}{V_s}\right|$ is approximately equal to

1. $\sqrt{1+\frac{\Delta C}{C}}$
2. $\frac{2\Delta C}{C}$
3. $\frac{\Delta C}{C}$
4. $\frac{\Delta C}{2C}$