Combination of Resistors

If $400 \mathrm{\Omega }$ of resistance is made by adding four $100 \mathrm{\Omega }$ resistance of tolerance $5\%$ then the tolerance of the combination is 

Consider an infinite ladder network shown in the figure. A voltage is applied between points$\mathit{ }A$ and $B$. If the voltage is halved after each section, find the ratio $\frac{R_1}{R_2}$. Suggest a method to terminate it after a few sections without introducing much error in attenuation.

Consider two identical galvanometers and two identical resistors with resistance $R$. If the internal resistance of the galvanometers $R_{\mathit{C}}< \frac{R}{2},$ which of the following statement(s) about any one of the

Figure shows three resistor configurations$R_1, R_2$ and $R_3$ connected to $3 \mathrm{V}$ battery. If the power is dissipated by the configuration $R_1, R_2$ and $R_3$ is $P_1, P_2$ and $P_3$, respectively, then

In the circuit shown, the cell has $\text{emf}=10 \mathrm{V}$ and internal resistance$=1 \mathrm{\Omega }$.

In the circuit shown in figure, all wires have equal resistance $\mathrm{r}$. Calculate equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$?

The resistance of each resistor in the circuit diagram shown in figure is the same and equal to $R=1 \mathrm{\Omega }.$ The voltage across the terminals is $U = 7 \mathrm{V}.$ Determine the current $i$ (Ampere) the leads if their resistance can be neglected.

The resistance of the rheostat shown in figure is $30 \mathrm{\Omega }.$ Neglecting the ammeter resistance, the ratio of minimum and maximum currents through the ammeter, as the rheostat is varied, will be 

If the reading of ammeter ${\mathrm{A}}_3$ in figure is $0.75 \mathrm{A}$. Neglecting the resistances of the ammeters, the reading of ammeter ${\mathrm{A}}_1$ will be

If the reading of ammeter ${\mathrm{A}}_3$ in figure is $0.75 \mathrm{A}$. Neglecting the resistances of the ammeters, the reading of ammeter ${\mathrm{A}}_2$ will be

In the circuit shown in figure reading of voltmeter is $V_{1 }$when only $S_1$ is closed, reading of voltmeter is $V_2$ when only $S_2$ is closed and reading of voltmeter is $V_3$when both $S_1$ and $S_2$ are closed. Then 

The equivalent resistance between points $A$ and $B$ is: 

A wire is in the form of a tetrahedron. The resistance of each edge is $r.$ The equivalent resistances between corners $1–2$ and $1–3$ are respectively-

The ammeter shown in figure consists of a$480 \mathrm{\Omega }$coil connected in parallel to a $20 \mathrm{\Omega }$ shunt. Find the reading of the ammeter.

The current through the ammeter shown in figure is $1 \mathrm{A}.$ If each of the$4\mathrm{\Omega }$ resistor is replaced by $2\mathrm{\Omega }$ resistor, the current in circuit will become nearly :

Five identical resistors each of resistance $1 \mathrm{\Omega }$ are initially arranged as shown in the figure by clear lines. If two similar resistances are added as shown by the dashed lines then change in resistance in final and initial arrangement is

The reading of voltmeter is

In the ladder network shown, current through the resistor $3 \mathrm{\Omega }$ is $0.25 \mathrm{A}$. The input voltage $‘\mathrm{V}’$ is equal to

Connect a battery to the terminals and complete the circuit diagram so that it works as a potential divider meter. Indicate the output terminals also.

Consider the circuit shown in figure. Find the current through the $10 \mathrm{\Omega }$ resistor when the switch $\mathrm{S}$ is

$\left(\mathrm{a}\right)$opened

$\left(\mathrm{b}\right)$closed.