A cell of unknown emf $\epsilon$ and internal resistance r, two unknown resistances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2\left({\mathrm{R}}_2>{\mathrm{R}}_1\right)$ and a perfect ammeter are given. The current in the circuit is measured in five different situations:

Without any external resistance in the circuit

The current obtained in the five cases are :

$0.42 \mathrm{A}, 0.6 \mathrm{A}, 1.05 \mathrm{A}, 1.4 \mathrm{A}$, and $4.2 \mathrm{A}$

but not necessarily in that order. Identify the currents in the five cases listed above and calculate $\mathrm{E}, \mathrm{r}, {\mathrm{R}}_1$ and ${\mathrm{R}}_2$.

A cell of unknown emf $\epsilon$ and internal resistance r, two unknown resistances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2\left({\mathrm{R}}_2>{\mathrm{R}}_1\right)$ and a perfect ammeter are given. The current in the circuit is measured in five different situations:

With resistance ${\mathrm{R}}_1$ only

A cell of unknown emf $\epsilon$ and internal resistance r, two unknown resistances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2\left({\mathrm{R}}_2>{\mathrm{R}}_1\right)$ and a perfect ammeter are given. The current in the circuit is measured in five different situations:

With resistance ${\mathrm{R}}_2$ only

A cell of unknown emf $\epsilon$ and internal resistance r, two unknown resistances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2\left({\mathrm{R}}_2>{\mathrm{R}}_1\right)$ and a perfect ammeter are given. The current in the circuit is measured in five different situations:

With both ${\mathrm{R}}_1$ and ${\mathrm{R}}_2$ used in series combination, and

The current obtained in the five cases are :

$0.42 \mathrm{A}, 0.6 \mathrm{A}, 1.05 \mathrm{A}, 1.4 \mathrm{A}$, and $4.2 \mathrm{A}$

but not necessarily in that order. Identify the currents in the five cases listed above and calculate $\mathrm{E}, \mathrm{r}, {\mathrm{R}}_1$ and ${\mathrm{R}}_2$.

A cell of unknown emf $\epsilon$ and internal resistance r, two unknown resistances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2\left({\mathrm{R}}_2>{\mathrm{R}}_1\right)$ and a perfect ammeter are given. The current in the circuit is measured in five different situations:

With ${\mathrm{R}}_1$ and ${\mathrm{R}}_2$ used in parallel combination.

The current obtained in the five cases are :

$0.42 \mathrm{A}, 0.6 \mathrm{A}, 1.05 \mathrm{A}, 1.4 \mathrm{A}$, and $4.2 \mathrm{A}$

but not necessarily in that order. Identify the currents in the five cases listed above and calculate $\mathrm{E}, \mathrm{r}, {\mathrm{R}}_1$ and ${\mathrm{R}}_2$.

In the circuit shown in Fig. , each battery is of $5 \mathrm{V}$ and has an internal resistance of $0.2\mathrm{\Omega }$. What will be the reading of an ideal voltmeter connected across a battery?

In the circuit shown in Fig. , the heat produced in $5\mathrm{\Omega }$ resistor, due to the current flowing through it is $10$ calorie per second. Find the heat produced in $4\mathrm{\Omega }$ resistor.