charge +10-⁹C is located at the origin in free space & another charge Q at (2, 0, 0). If the X-component of the electric field at 3, 2015 zero, calculate the value of Q is the Y component zero at (3, 1, 1)?
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Given:
Charge +10-⁹C is located at the origin in free space & another charge Q at (2, 0, 0).
To find:
If the X-component of the electric field at 3, 2015 zero, calculate the value of Q is the Y component zero at (3, 1, 1)?
Solution:
From given, we have the coordinates as follows:
q = (3, 1, 1)
Q = (2, 0, 0)
we have,
E_q = kQ/√(3² + 1² + 1²) [ (3i + j + k)/√11 ]
E_Q = kQ/√(1² + 1² + 1²) [ (i - j - k)/√3 ]
At P, x component of field is zero.
⇒ (E_q + E_Q)_x = 0
⇒ 3kQ/(√11)³ = -Qk/(√3)³
⇒ Q = -3 [√(3/11)]³ × 10^{-9} C
y-component has zero field.
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