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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsGauss LawEasy2 minPYQ_2020

PhysicsEasysingle choice

Two uniformly long charged wires with linear densities $λ$ and $3 λ$ are placed along $X$ and $Y$ axis respectively. Determined the slope of electric field at any point on the line $y = \sqrt{3} x$ .

Options:

Answer:

Solution:

$E_{x} = \frac{3 λ}{2 π ϵ_{o} x}$

$E_{y} = \frac{λ}{2 π ϵ_{o} x \sqrt{3}}$

$\vec{E} = \frac{3 λ}{2 {πε}_{0} x} \hat{i} + \frac{λ}{2 {πε}_{0} x \sqrt{3}} \hat{j}$

$Slope = \frac{E_{y}}{E_{x}} = \frac{1}{\sqrt{3}} \times \frac{}{3} = \frac{1}{3 \sqrt{3}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElectrostaticsSubtopic:Gauss Law

⏱ 2mℹ️ Source: PYQ_2020

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