Consider a circular loop that is uniformly charged and has a radius $\mathrm{a}\sqrt{2}$. Find the position along the positive z -axis of the cartesian coordinate system where the electric field is maximum if the ring was assumed to be placed in xy-plane at the origin :

[JEE Main 2025, 2 Apr (Shift 2)]

Question

Consider a circular loop that is uniformly charged and has a radius $\mathrm{a}\sqrt{2}$. Find the position along the positive z -axis of the cartesian coordinate system where the electric field is maximum if the ring was assumed to be placed in xy-plane at the origin :

[JEE Main 2025, 2 Apr (Shift 2)]

YESPYQ · Accepted Answer

Correct answer: c) $a$. $$ \begin{aligned} & E=\frac{K Q r}{\left(x^2+R^2\right)^{\frac{3}{2}}} \ & \frac{d E}{d x}=0 \ & \therefore x=\frac{R}{\sqrt{2}}=\frac{\sqrt{2 a}}{\sqrt{2}}=a \end{aligned} $$

Consider a circular loop that is uniformly charged and has a radius \(\mathrm{a}\sqrt{2}\). Find the position along the …

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