In the strain gauge bridge circuit given below, $R_1=R_3=\text{R(1-x)}$ and $R_2=R_4=\text{R(1+x)}$, where $R$ is $350\Omega$. The voltage sources $v_s$ and $v_n$ represent the dc excitation and the undesired noise/interference, respectively. The value of capacitor $C$ in $\text{microfarad}$ that is required to ensure that the output across $a$ and $b$ is low-pass filtered with a cutoff frequency of $\text{150 Hz}$ is $\_\_\_\_\_\_\_$.
