$A$ cell of negligible internal resistance and $e.m.f.$ $2 \ V$ is connected to a series combination of $2 \ \Omega$,$3 \ \Omega$,and $5 \ \Omega$ resistors. The potential difference in volts between the terminals of the $3 \ \Omega$ resistor is:

The potential difference across the $40\,\Omega$ resistor in the given circuit is ............ $V$.

In the circuit shown,what is the value of the unknown resistance $R$ such that the total resistance between points $P$ and $Q$ is also equal to $R$?

In the circuit diagram shown,each battery is ideal having an e.m.f. of $1\ V$. Each resistor has a resistance of $1\ \Omega$. The ammeter $(A)$ has a resistance of $1\ \Omega$. Find the reading of the ammeter and the total thermal power produced in the circuit.

$R_1$ and $R_2$ are two resistors made of different materials. The temperature coefficient of resistance for $R_1$ is $\alpha$ and for $R_2$ is $-\beta$. If the resistance of the series combination of $R_1$ and $R_2$ does not change with temperature,then the ratio of the resistances of the two wires is:

$A$ bulb rated at $(100\,W, 200\,V)$ is used on a $100\,V$ line. The current in the bulb is