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Electrostatics question

2022 · Shift 1 · Q49
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Electrostatics question

2022 · Shift 1 · Q49

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −2
Six charges are placed around a regular hexagon of side length aaa as shown in the figure. Five of them have charge qqq, and the remaining one has charge xxx. The perpendicular from each charge to the nearest hexagon side passes through the center 0 of the hexagon and is bisected by the side. JEE Advanced 2022 Paper 1 Online Physics - Electrostatics Question 27 English Which of the following statement(s) is(are) correct in SI units?
  1. A
    When x=qx=qx=q, the magnitude of the electric field at 0 is zero.
  2. B
    When x=−qx=-qx=−q, the magnitude of the electric field at 0 is q6πϵoa2\frac{q}{6 \pi \epsilon_{o} a^{2}}6πϵo​a2q​.
  3. C
    When x=2qx=2 qx=2q, the potential at 0 is 7q43πϵoa\frac{7 q}{4 \sqrt{3} \pi \epsilon_{o} a}43​πϵo​a7q​.
  4. D
    When x=−3qx=-3 qx=−3q, the potential at 0 is −3q43πϵoa-\frac{3 q}{4 \sqrt{3} \pi \epsilon_{o} a}−43​πϵo​a3q​.
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