Eight resistances each of resistance $5\,\Omega $ are connected in the circuit as shown in figure. The equivalent resistance between $A$ and $B$ is
Medium
Download our app for free and get started
$R^{\prime}=\frac{2 R^{2}}{3 R}$
$R^{\prime}=\frac{2 R}{3}$
$R^{\prime}=\frac{2 R}{3}+2 R$
$R^{\prime}=\frac{8 R}{3}$
$R_{e q}=\frac{2 R \cdot R \cdot 8 R / 3}{2 R^{2}+16 R^{2} / 3+8 R^{2} / 3}$
$R_{eq}=\frac{16 R^{3} / 3}{10 R^{2}}$
$R_{e q}=\frac{8 R}{15}$
$=\frac{8 \times 5}{15}=\frac{8}{3} \Omega$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A metallic block has no potential difference applied across it, then the mean velocity of free electrons is $T$ = absolute temperature of the block)View Solution
- 2The current $I_{1}$ (in $A$) flowing through $1\; \Omega$ resistor in the following circuit is:View Solution
- 3The electric resistance of a certain wire of iron is $R$. If its length and radius are both doubled, thenView Solution
- 4View SolutionThe mechanism of the heat produced in a conductor when an electric current flows through it, can be explained on the basis of
- 5View SolutionAll of the following statements are true except
- 6Dimensions of a block are $1\,cm \times 1\,cm \times 100\,cm$. If specific resistance of its material is $3 \times {10^{ - 7}}\,ohm - m$, then the resistance between the opposite rectangular faces isView Solution
- 7The internal resistances of two cells shown are $0.1\,\Omega $ and $0.3\,\Omega $. If $R = 0.2\,\Omega $, the potential difference across the cellView Solution
- 8In an electrolyte $3.2 \times {10^{18}}$ bivalent positive ions drift to the right per second while $3.6 \times {10^{18}}$ monovalent negative ions drift to the left per second. Then the current isView Solution
- 9In a balanced Wheatstone’s network, the resistances in the arms $Q$ and $S$ are interchanged. As a result of thisView Solution
- 10A parallel combination of two resistors, of $1 \,\Omega$ each, is connected in series with a $1.5 \,\Omega$ resistor. The total combination is connected across a $10\, V$ battery. The current flowing in the circuit is .............. $A$View Solution