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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityMicroscopicEasy2 minQB

PhysicsEasynumerical

Two wires of same length and thickness having specific resistances $6Ω c m$ and $3Ω c m$ respectively are connected in parallel. The effective resistivity is $ρ \Omega c m$ . The value of $ρ$ to the nearest integer, is ___ .

Answer:

4.00

Solution:

$∵$ in parallel, $R_{n e t} = \frac{R _{1} R _{2}}{R _{1} + R _{2}}$

$\Rightarrow \frac{ρl}{2 A} = \frac{ρ _{1} \frac{l}{A} \times ρ _{2} \frac{l}{A}}{ρ _{1} \frac{l}{A} + ρ _{2} \frac{l}{A}}$

$\Rightarrow \frac{ρ}{2} = \frac{6 \times 3}{6 + 3} = 2$ $\Rightarrow ρ = 4$

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Microscopic

⏱ 2mℹ️ Source: QB

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