Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor $B$ will fit snugly within conductor $A$, and conductor $C$ will fit snugly within conductor $B$. Relationship between their end to end resistance is
Medium
Download our app for free and get started
(a) All the conductors have equal lengths. Area of cross-section of $A$ is $\{ {(\sqrt 3 \,a)^2} - {(\sqrt 2 \,a)^2}\} = {a^2}$
Similarly area of cross-section of $B=$ Area of cross-section of $C = a^2$
Hence according to formula $R = \rho \frac{l}{A};$ resistances of all the conductors are equal i.e.$ R_A = R_B = R_C$
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
- 1Two electric bulbs rated ${P_1}\,watt$ $V\, volts$ and ${P_2}\, watt$ $V\, volts$ are connected in parallel and $V\, volts$ are applied to it. The total power will beView Solution
- 2Two identical cells send the same current in $2\,\Omega $ resistance, whether connected in series or in parallel. The internal resistance of the cell should be ............... $\Omega$View Solution
- 3View SolutionThe reading of the ammeter as per figure shown is
- 4In the circuit shown in the figure, find the current in $45\, \Omega$ $..........\,A$View Solution
- 5Two resistors are joined in parallel whose, resultant is $\frac{6}{5} \,\Omega$. One of the resistance wire is broken and the effective resistance becomes $2 \,ohms$. Then the resistance (in $ohm$) of the wire that got broken is ..........View Solution
- 6Two bulbs of $500\, watt$ and $200\, watt$ are manufactured to operate on $220\, volt$ line. The ratio of heat produced in $500\, W$ and $200\, W$, in two cases, when firstly they are joined in parallel and secondly in series, will beView Solution
- 7Two resistors $400\, \Omega$ and $800\, \Omega$ are connected in series across a $6 V$ battery. The potential difference measured by a voltmeter of $10\, k \Omega$ across $400\, \Omega$ resistor is close to$....V$View Solution
- 8View SolutionWhen electric bulbs of same power, but different marked voltage are connected in series across the power line, their brightness will be :
- 9View SolutionWhen a potential difference is applied across the ends of a linear metallic conductor
- 10In the figure shown the power generated in $y$ is maximum when $y = 5\,\Omega$ . Then $R$ is .............. $\Omega$View Solution
