1. Tardigrade
  2. Question
  3. Physics
  4. The electric potential in a region is given by V(x, y, z)=a x2+a y2+a b z2, ' a ' is a positive constant of appropriate dimensions and b, a positive constant such that V is volts when x , y , z are in m. Let b =2. The work done by the electric field when a point charge +4 μ C moves from the point (0,0,0, 1 m ) to the origin is 50 μ J. The radius of the circle of the equipotential curve corresponding to V=6250 volts and z=√2 m is α m. Find α2.

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Q. The electric potential in a region is given by $V(x, y, z)=a x^{2}+a y^{2}+a b z^{2}$, ' $a$ ' is a positive constant of appropriate dimensions and $b$, a positive constant such that $V$ is volts when $x , y , z$ are in $m$. Let $b =2$. The work done by the electric field when a point charge $+4 \,\mu C$ moves from the point $(0,0,0, 1 \,m$ ) to the origin is $50\, \mu J$. The radius of the circle of the equipotential curve corresponding to $V=6250$ volts and $z=\sqrt{2} \,m$ is $\alpha m$. Find $\alpha^{2}$.

Electrostatic Potential and Capacitance

Solution:

Correct answer is '3.00'