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JEE Main 202228 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2022 · 28 June · Evening Shift · Physics · Electrostatics

Two point charges A and B of magnitude + 8 × 10 ^ - 6 C and - 8 ×...

Two point charges AA and BB of magnitude +8×10−6C+ 8 \times {10}^{- 6}C and −8×10−6C- 8 \times {10}^{- 6}C respectively are placed at a distance dd apart. The electric field at the middle point OO between the charges is 6.4×104NC−16 . 4 \times {10}^{4}N{C}^{- 1}. The distance 'dd' between the point charges AA and BB isTwo point charges A and B of magnitude + 8 × 10 ^ - 6 C and - 8 × 10 ^ - 6 C respectively are placed at a distance d

Options

  1. A2m2m
  2. B3m3m
  3. C1m1m
  4. D4m4m

Correct answer

B. 3m3m

Step-by-step solution

Two point charges A and B of magnitude + 8 × 10 ^ - 6 C and - 8 × 10 ^ - 6 C respectively are placed at a distance d

Direction of electric field at mid-point due to both charge will be in same direction, which is towards right.

Therefore, EE at mid-point =kq(d2)2= \dfrac{kq}{{\left(\dfrac{d}{2}\right)}^{2}} + \dfrac{kq}{{\left(\dfrac{d}{2}\right)}^{2}}

⇒6.4×104=2×[9×109×(8×10−6)d2×4]⇒ 6 . 4 \times {10}^{4} = 2 \times \left[9 \times {10}^{9} \times \dfrac{\left(8 \times {10}^{- 6}\right)}{{d}^{2}} \times 4\right]

⇒d=3m⇒ d = 3m

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