03. Kirchhoff's Law and Combination of Resistance
Current Electricity

152184 The equivalent resistance between points $A$ and $B$ in the given network is:

1 $65 \Omega$
2 $20 \Omega$
3 $5 \Omega$
4 $2 \Omega$
Current Electricity

152185 Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is

1 $\frac{r_{1}}{r_{1}+r_{2}}$
2 $\frac{r_{2}}{r_{2}+r_{3}}$
3 $\frac{r_{1}}{r_{1}+r_{2}}$
4 $\frac{\mathrm{r} 2}{\mathrm{r}_{1}+\mathrm{r}_{3}}$
Current Electricity

152186 The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \Omega$. What will be the effective resistance if they are connected in series?

1 $0.25 \Omega$
2 $0.5 \Omega$
3 $1 \Omega$
4 $4 \Omega$
Current Electricity

152187 Find the resistance of a cube of edge $60 \mathrm{~cm}$, made of material of specific resistance $60 \times 10^{-8} \Omega \mathrm{m}$.

1 $2.5 \times 10^{-5} \Omega$
2 $10^{-8} \Omega$
3 $10^{-6} \Omega$
4 $5 \times 10^{-4} \Omega$
Current Electricity

152188 In the circuit shown below the current $i_{1}$ is

1 $1.6 \mathrm{~A}$
2 $1.8 \mathrm{~A}$
3 $1.2 \mathrm{~A}$
4 $1.0 \mathrm{~A}$
Current Electricity

152184 The equivalent resistance between points $A$ and $B$ in the given network is:

1 $65 \Omega$
2 $20 \Omega$
3 $5 \Omega$
4 $2 \Omega$
Current Electricity

152185 Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is

1 $\frac{r_{1}}{r_{1}+r_{2}}$
2 $\frac{r_{2}}{r_{2}+r_{3}}$
3 $\frac{r_{1}}{r_{1}+r_{2}}$
4 $\frac{\mathrm{r} 2}{\mathrm{r}_{1}+\mathrm{r}_{3}}$
Current Electricity

152186 The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \Omega$. What will be the effective resistance if they are connected in series?

1 $0.25 \Omega$
2 $0.5 \Omega$
3 $1 \Omega$
4 $4 \Omega$
Current Electricity

152187 Find the resistance of a cube of edge $60 \mathrm{~cm}$, made of material of specific resistance $60 \times 10^{-8} \Omega \mathrm{m}$.

1 $2.5 \times 10^{-5} \Omega$
2 $10^{-8} \Omega$
3 $10^{-6} \Omega$
4 $5 \times 10^{-4} \Omega$
Current Electricity

152188 In the circuit shown below the current $i_{1}$ is

1 $1.6 \mathrm{~A}$
2 $1.8 \mathrm{~A}$
3 $1.2 \mathrm{~A}$
4 $1.0 \mathrm{~A}$
Current Electricity

152184 The equivalent resistance between points $A$ and $B$ in the given network is:

1 $65 \Omega$
2 $20 \Omega$
3 $5 \Omega$
4 $2 \Omega$
Current Electricity

152185 Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is

1 $\frac{r_{1}}{r_{1}+r_{2}}$
2 $\frac{r_{2}}{r_{2}+r_{3}}$
3 $\frac{r_{1}}{r_{1}+r_{2}}$
4 $\frac{\mathrm{r} 2}{\mathrm{r}_{1}+\mathrm{r}_{3}}$
Current Electricity

152186 The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \Omega$. What will be the effective resistance if they are connected in series?

1 $0.25 \Omega$
2 $0.5 \Omega$
3 $1 \Omega$
4 $4 \Omega$
Current Electricity

152187 Find the resistance of a cube of edge $60 \mathrm{~cm}$, made of material of specific resistance $60 \times 10^{-8} \Omega \mathrm{m}$.

1 $2.5 \times 10^{-5} \Omega$
2 $10^{-8} \Omega$
3 $10^{-6} \Omega$
4 $5 \times 10^{-4} \Omega$
Current Electricity

152188 In the circuit shown below the current $i_{1}$ is

1 $1.6 \mathrm{~A}$
2 $1.8 \mathrm{~A}$
3 $1.2 \mathrm{~A}$
4 $1.0 \mathrm{~A}$
Current Electricity

152184 The equivalent resistance between points $A$ and $B$ in the given network is:

1 $65 \Omega$
2 $20 \Omega$
3 $5 \Omega$
4 $2 \Omega$
Current Electricity

152185 Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is

1 $\frac{r_{1}}{r_{1}+r_{2}}$
2 $\frac{r_{2}}{r_{2}+r_{3}}$
3 $\frac{r_{1}}{r_{1}+r_{2}}$
4 $\frac{\mathrm{r} 2}{\mathrm{r}_{1}+\mathrm{r}_{3}}$
Current Electricity

152186 The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \Omega$. What will be the effective resistance if they are connected in series?

1 $0.25 \Omega$
2 $0.5 \Omega$
3 $1 \Omega$
4 $4 \Omega$
Current Electricity

152187 Find the resistance of a cube of edge $60 \mathrm{~cm}$, made of material of specific resistance $60 \times 10^{-8} \Omega \mathrm{m}$.

1 $2.5 \times 10^{-5} \Omega$
2 $10^{-8} \Omega$
3 $10^{-6} \Omega$
4 $5 \times 10^{-4} \Omega$
Current Electricity

152188 In the circuit shown below the current $i_{1}$ is

1 $1.6 \mathrm{~A}$
2 $1.8 \mathrm{~A}$
3 $1.2 \mathrm{~A}$
4 $1.0 \mathrm{~A}$
Current Electricity

152184 The equivalent resistance between points $A$ and $B$ in the given network is:

1 $65 \Omega$
2 $20 \Omega$
3 $5 \Omega$
4 $2 \Omega$
Current Electricity

152185 Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is

1 $\frac{r_{1}}{r_{1}+r_{2}}$
2 $\frac{r_{2}}{r_{2}+r_{3}}$
3 $\frac{r_{1}}{r_{1}+r_{2}}$
4 $\frac{\mathrm{r} 2}{\mathrm{r}_{1}+\mathrm{r}_{3}}$
Current Electricity

152186 The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \Omega$. What will be the effective resistance if they are connected in series?

1 $0.25 \Omega$
2 $0.5 \Omega$
3 $1 \Omega$
4 $4 \Omega$
Current Electricity

152187 Find the resistance of a cube of edge $60 \mathrm{~cm}$, made of material of specific resistance $60 \times 10^{-8} \Omega \mathrm{m}$.

1 $2.5 \times 10^{-5} \Omega$
2 $10^{-8} \Omega$
3 $10^{-6} \Omega$
4 $5 \times 10^{-4} \Omega$
Current Electricity

152188 In the circuit shown below the current $i_{1}$ is

1 $1.6 \mathrm{~A}$
2 $1.8 \mathrm{~A}$
3 $1.2 \mathrm{~A}$
4 $1.0 \mathrm{~A}$