חוק קולון והשדה האלקטרוסטטי
✦ בנוי על ידי פהד גאנם ✦
العربية
☀ מצב בהיר
1.1
▾
✕
Σq = const | q =
q1 + q2
2
+12 nC
8.0 cm
0
0
0
0
—
0
qA1 = qB1 =
qA + qB
2
=
12 + 0
2
= 6.0 nC
qB2 = qC2 =
qB1 + qC
2
=
6.0 + 0
2
= 3.0 nC
qA1 + qB2 + qC2 = 6.0 + 3.0 + 3.0 = 12.0 nC
1.2
▾
✕
F = k ·
|q₁| · |q₂|
r²
| k = 8.99 · 10⁹ N·m²/C² | F = F₁ + F₂
+2.0 µC
−3.0 µC
0.30 m
0.00 m
0.25 m
0
0
0
0
—
—
0
0
0
|q₁| = 3.0·10⁻⁶ C , |q₂| = 5.0·10⁻⁶ C , r = 0.20 m
F = k ·
|q₁| · |q₂|
r²
F = 8.99·10⁹ ·
3.0·10⁻⁶ · 5.0·10⁻⁶
(0.20)²
= 8.99·10⁹ ·
1.5·10⁻¹¹
0.040
= 3.37 N
F₁ = F₂ = 3.37 N
1.3
▾
✕
E =
F
q
| E =
k·|Q|
r²
| F = q·E
+5.0 nC
-5.0 nC
1.00 m
+1.0 nC
0.70 m
0.50 m
0
Ex
0
Ey
0
0
0
0
0
E =
k·|Q|
r²
Q = 4.0·10⁻⁹ C ; r = 0.30 m
E =
k·|Q|
r²
=
8.99·10⁹ · 4.0·10⁻⁹
0.090
= 399.6 N/C
F = q·E = 2.0·10⁻⁹ · 399.6 = 7.99·10⁻⁷ N
F′ = 4.0·10⁻⁹ · 399.6 = 1.598·10⁻⁶ N
E =
F′
q′
=
1.598·10⁻⁶
4.0·10⁻⁹
= 399.6 N/C
1.4
▾
✕
Φ =
q
enc
ε₀
| E =
k·q
r²
| Φ = E · A
5.0 nC
0.10 m
0.00 m
0
0
0
0
0
E =
k·q
r²
=
8.99·10⁹ · 5.0·10⁻⁹
(0.10)²
= 4495 N/C
A = 4π·r² = 4π·(0.10)² = 0.1257 m²
Φ = E · A = 4495 · 0.1257 = 565 N·m²/C
Φ =
q
ε₀
=
5.0·10⁻⁹
8.85·10⁻¹²
= 565 N·m²/C
E = 1124 N/C A = 0.5027 m² Φ = 1124 · 0.5027 = 565 N·m²/C
→
🏠
♿