In the circuit shown in the figure,when no current flows through the $5\,\Omega$ resistor,the value of the resistor $X$ will be ........... $\Omega$.

An electrical circuit consists of the resistances $R, r_1, R_2$ and voltage sources $E_1$ and $E_2$ as shown in the figure. The correct equation for the loop $E B C D E$ is

Four resistors $A, B, C$ and $D$ form a Wheatstone bridge. The bridge is balanced when $C = 100 \ \Omega$. If $A$ and $B$ are interchanged,the bridge balances for $C = 121 \ \Omega$. The value of $D$ is: (in $\Omega$)

Kirchhoff's first law $(\Sigma i = 0)$ and second law $(\Sigma iR = \Sigma E)$ are based on which of the following respectively? (Where the symbols have their usual meanings.)

Five equal resistances each of value $R$ are connected in a form shown alongside. The equivalent resistance of the network

If the internal resistance of the battery is $1\, \Omega$, then what is the reading of the ammeter?