The resistance values of the Wheatstone bridge shown are: $P=2000 \Omega, \mathrm{q}=500 \Omega, R=3000 \Omega$. The battery voltage $E=50 \mathrm{~V}$. The battery has an internal resistance of $1 \Omega$ and the Galvanometer ( $G$ ) has a resistance of $50 \Omega$.

The value of the resistance $S$ for balanced condition is $\_\_\_\_$ $\Omega$. [Answer in integer]

In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage $E$ for unit change in the resistance $R$, in $\mathrm{mV} / \Omega$, is _________ (round off to two decimal places)

An unbalanced $$DC$$ Wheatstone bridge is shown in the figure. At what value of $$p$$ will the magnitude of $${V_0}$$ be maximum?

In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance C₁ in microfarad is ________.