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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsPotential & potential energyEasy2 minPYQ_2014

PhysicsEasysingle choice

Assume that an electric field $\vec{E} = 30 x^{2} \hat{i}$ exists in space. Then the potential difference $V_{A} - V_{O}$ , where V_Ois the potential at the origin and V_Athe potential at x = 2 m is :

Options:

Answer:

Solution:

$∴ d V = - \vec{E} . \vec{d x}$

Integrating both sides,

$\int_{V_{O}}^{V_{A}} d V = - 30 \int_{0}^{2} x^{2} d x$

$V_{A} - V_{O} = - 30 {[\frac{x^{3}}{3}]}_{0}^{2} = - 80 J C^{- 1}$

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

⏱ 2mℹ️ Source: PYQ_2014

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