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Standard XII

Physics

Field Lines in Different Scenarios

Figure shows ...

Question

Figure shows a square of side a having for identical charges fixed at each of its vertices. The maximum electric field on the line perpendicular to plane of square and passing through its center is found $x$ distance away from the center. $x$ depends on

Only a

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Only q

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Both a and q

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Neither a nor q

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Solution

The correct option is C Only a
The Electric field at distance $x$ from center is $\frac{k q x}{(x^{2} + a^{2} / 2)^{3 / 2}}$
Differentiating and equating to zero, this value is maximum at $x = a / 2$ which is dependent upon $a$

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Figure shows a square of side a having for identical charges fixed at each of its vertices. The maximum electric field on the line perpendicular to plane of square and passing through its center is found x distance away from the center. x depends on

The correct option is C Only aThe Electric field at distance x from center is kqx(x2+a2/2)3/2Differentiating and equating to zero, this value is maximum at x=a/2 which is dependent upon a

Figure shows a square of side a having for identical charges fixed at each of its vertices. The maximum electric field on the line perpendicular to plane of square and passing through its center is found $x$ distance away from the center. $x$ depends on

The correct option is C Only a
The Electric field at distance $x$ from center is $\frac{k q x}{(x^{2} + a^{2} / 2)^{3 / 2}}$
Differentiating and equating to zero, this value is maximum at $x = a / 2$ which is dependent upon $a$