Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsPotential & potential energyEasy2 minPYQ_2020

PhysicsEasysingle choice

Two long concentric cylindrical conductors of radii $a$ and $b (b < a)$ are maintained at a potential difference $V$ and carry equal and opposite currents $I$ . An electron with a particular velocity $u$ parallel to the axis will travel undeviated in the evacuated region between the conductors. Then $u =$

Options:

Answer:

Solution:

$E = \frac{λ}{2 π ε_{0} r}$

p.d. $V = \frac{λ}{2 π ε_{0}} \ln (\frac{a}{b})$

$E = \frac{V}{r \ln (\frac{a}{b})}$

$B$ varies with $r$

$B = \frac{μ_{0} I}{2 π r}$

$B$ and $E$ are perpendicular to each other

$∴ q u B = q E$

(If particle travel undeviated)

$u = \frac{E}{B} = \frac{2 π V}{μ_{0} I \ln (\frac{a}{b})}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Potential & potential energy

⏱ 2mℹ️ Source: PYQ_2020

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