Question:
An electric line of force in the $xy$ plane is given by equation $x^2 + y^2 = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $xy$ plane
An electric line of force in the $xy$ plane is given by equation $x^2 + y^2 = 1$. A particle with unit positive charge, initially at rest at the point $x = 1, y = 0$ in the $xy$ plane
Updated On: Aug 4, 2024
- not move at all
- will move along straight line
- will move along the circular line of force
- information is insufficient to draw any conclusion
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The Correct Option is C
Solution and Explanation
Charge will move along the circular line of force because $x^2 + y^2 = 1$ is the equation of circle in $xy$-plane.
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Concepts Used:
Electric Field
Electric Field is the electric force experienced by a unit charge.
The electric force is calculated using the coulomb's law, whose formula is:
\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)
While substituting q2 as 1, electric field becomes:
\(E=k\dfrac{|q_{1}|}{r^{2}}\)
SI unit of Electric Field is V/m (Volt per meter).