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Reviewed CSCA Physics question · Standard

在真空中,两个点电荷分别带电量+2×10⁻⁶ C和-4×10⁻⁶ C,相距0.3 m。已知静电力常量k=9×10⁹ N·m²/C²,求它们之间的库仑力大小。

  1. 0.8 N
  2. 0.2 N
  3. 0.4 N
  4. 0.6 N
Show the answer and explanation

Correct answer

A. 0.8 N

Principle or equation

库仑定律:F = k|q₁q₂|/r²。

Why this answer is correct

F = 9×10⁹ × |2×10⁻⁶ × (-4×10⁻⁶)| / (0.3)² = 9×10⁹ × 8×10⁻¹² / 0.09 = 72×10⁻³ / 0.09 = 0.8 N。

Example

若电荷量分别为1 μC和2 μC,距离0.1 m,则F = 9×10⁹×2×10⁻¹²/0.01 = 1.8 N。

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