Two equal resistances when connected in series to a battery,consume electric power of $60 \, W$. If these resistances are now connected in parallel combination to the same battery,the electric power consumed will be .............. $W$.

Two resistances of $400 \Omega$ and $800 \Omega$ are connected in series with a $6 \text{ V}$ battery of negligible internal resistance. $A$ voltmeter of resistance $10000 \Omega$ is used to measure the potential difference across the $400 \Omega$ resistor. The error in the measurement of potential difference in volts is approximately:

The resistance of an iron wire is $10\,\Omega$ and the temperature coefficient of resistivity is $5 \times 10^{-3}\,^{\circ}C^{-1}$. At $20\,^{\circ}C$,it carries $30\,mA$ of current. Keeping the potential difference between its ends constant,the temperature of the wire is raised to $120\,^{\circ}C$. The current in milliamperes that flows in the wire is:

In the circuit shown in the figure,switch $S_1$ is initially closed and $S_2$ is open. Find $V_a - V_b$ in $V$.

Two resistors of $200\ k\Omega$ and $1\ M\Omega$ form a potential divider circuit. If the potentials at the two ends are $+3\ V$ and $-15\ V$,the voltage at the junction will be ............... $V$.

In the given circuit,the value of $\left|\frac{I_1+I_3}{I_2}\right|$ is