$A$ silver voltameter of resistance $2\, \Omega$ and a $3\, \Omega$ resistor are connected in series across a cell. If a resistance of $2\, \Omega$ is connected in parallel with the voltameter, then the rate of deposition of silver

Consider the two circuits $P$ and $Q$ shown below,which are used to measure the unknown resistance $R$. In each case,the resistance is estimated by using Ohm's law $R_{\text{est}} = \frac{V}{I}$,where $V$ and $I$ are the readings of the voltmeter and the ammeter,respectively. The meter resistances $R_V$ and $R_A$ are such that $R_A \ll R \ll R_V$. The internal resistance of the battery may be ignored. The absolute error in the estimate of the resistance is denoted by $\delta R = |R - R_{\text{est}}|$.
$(a)$ Express $\delta R_P$ in terms of the given resistance values.
$(b)$ Express $\delta R_Q$ in terms of the given resistance values.
$(c)$ For what value of $R$ will $\delta R_P \approx \delta R_Q$?

Three resistors each of $2\, \Omega$ are connected together in a triangular shape. The resistance between any two vertices will be

In the circuit shown,the currents $i_{1}$ and $i_{2}$ are

In the given circuit,if the measuring instruments are ideal,then the reading of ammeter $A_1$ is:

Twelve wires of equal length and equal cross-sectional area form a cube. If the resistance of each wire is $R$,then the effective resistance between the two ends of a diagonal is: