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Electrostatics question

2019 · Shift 2 · Q37
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Electrostatics question

2019 · Shift 2 · Q37

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −1
An electric dipole with dipole moment p02(i^+j^){{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)2​p0​​(i+j​) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0. JEE Advanced 2019 Paper 2 Offline Physics - Electrostatics Question 37 English If the potential is constant on a circle of radius R centered at the origin as shown in figure, then the correct statement(s) is/are, (∈\in∈ 0 is the permittivity of the free space, R >> dipole size)
  1. A
    The magnitude of total electric field on any two points of the circle will be same.
  2. B
    Total electric field at point B is E→B{\overrightarrow E _B}EB​ = 0
  3. C
    R=(p04π∈0E0)1/3R = {\left( {{{{p_0}} \over {4\pi { \in _0}{E_0}}}} \right)^{1/3}}R=(4π∈0​E0​p0​​)1/3
  4. D
    Total electric field at point A is E→A=2E0(i^+j^){\overrightarrow E _A} = \sqrt 2 {E_0}(\widehat i + \widehat j)EA​=2​E0​(i+j​)
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