Modified De Sauty's Bridge

Q. The parallel resistance-capacitance bridge shown below has a standard capacitance value of $C_1=0.1\mu F$ and a resistance value of $R_3=10k\Omega .$ The bridge is balanced at a supply frequency of 100 Hz for$R_1=375k\Omega ,R_3=10k\Omega \text{and}{R}_4=14.7k\Omega .$ The value of the dissipation factor $D=\frac{1}{\left(\omega R_p{C}_p\right)}$ of the parallel combination of Cp and Rp is ____ . (Answer should be rounded off to Three decimal places).

1. 0.042

Q. In the AC bridge, shown in the figure, $R={10}^3\Omega \text{and}C={10}^{-7}F.$ If the bridge is balanced at a frequency ${\omega }_0,$ the value of ${\omega }_0$ in rad/s is

1. 10000