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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsGauss LawEasy2 minPYQ_2020

PhysicsEasysingle choice

An infinitely long line of linear charge density $λ$ is shown in the figure. The potential difference $V_{A} - V_{B}$ between the two points $A$ and $B$ is

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Answer:

Solution:

$V_{A} - V_{B} = - \int_{B}^{A} \vec{E} . \vec{d r}$

$V_{A} - V_{B} = - \int_{2r}^{r} \frac{2λ}{4π ε_{0} r} dr$

$V_{A} - V_{B} = \frac{2λ}{4π ε_{0} r} \int_{r}^{2r} \frac{1}{r} dr$

$= \frac{2λ}{4π ε_{0}} ln \frac{2r}{r}$

$= \frac{2λ}{4π ε_{0}} ln 2$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Gauss Law

⏱ 2mℹ️ Source: PYQ_2020

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