Συμπληρωματικές Ασκήσεις 1ης Προόδου
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23
2.
5.29 10-11 m,
. () 10-11 N/C () 108 N/C () 1014 N/C () 106 N/C () 1012 N/C
3. 5.00 10-3 kg 4.00 C.
,
; () 8.21 102 N/C () 1.22 104 N/C () 2.00 1022 N/C () 5.11 106 N/C () 3.72
103 N/C
4. 3.00 106 m/s
1.00 103 N/C.
.
; () 2.56 cm () 5.12 cm () 11.2 cm () 3.34 m () 4.24
m ()
5. (0, 1.00) m 24.00 nC. (x)
(4.00, -
2.00) m; () 1.15 N/C () -0.864 N/C () 1.44 N/C () -1.15 N/C () 0.864 N/C
7.
; () . () . ()
, .
() . ()
19.
0.300 m. 12.0 nC -18.0
nC. ()
. ()
.
-
.
23. ( ). ()
; ()
25.00 nC .
24. x . +Q
x = -a. x = +3a.
2keQ/a2.
.
41.
. ()
q1/q2. (i) 2 (ii) 3, (iii) 1/2, (iv) 1/3, (v)
() q1 q2; (i) -, (ii)
-, (iii) -, (iv) -, (v) .
1.5
A, B,
. (i) , (ii) , (iii) , (iv)
, (v) , (vi)
24
1. 1.00 m, 2.00 m 2.50 m
3.00 nC, -2.00 nC, -7.00 nC, 1.00 nC. 1.00 nC 4.00
nC. ; () 0 () -
5.64 102 N m2/C () -1.47 103 N m2/C () 1.47 103 N m2/C () 5.64 102 N m2/C
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2. xy
1.00 N/C.
, 0.500 m xy; () 1.00 N/C
() 21.00 N/C () 0 () 0.250 N/C ()
.
4. Gauss q.
. (i) ,
; () 0 () q/20 () q/60 () q/80 ()
. (ii)
,
;
.
6. Gauss ,
.
. (i) ; () 0 () 2
() 4 () 6 (ii) ;
.
7. , 5 cm,
2 C. A . B ,
. (i)
6 cm; ()
EA > EB = 0 () EA > EB > 0 () EA = EB > 0 () 0 < EA < EB () 0 < EA < EB (ii)
4 cm; .
25
1. x 850 N/C. - x = 2.50 m; () 3.40 10-16 J () -3.40 10-16 J () 2.50 10-16 J () 22.50 10-16 J () 21.60 10-19 J
2. 1.00 104 V . ; () 1.00 104 eV () 1.60 10-15 eV () 1.60 10-22 eV () 6.25 1022 eV () 1.60 10-19 eV
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3. ( = 2e, = 6.63 10-27 kg) 6.20 105 m/s A, 1.50 103 V, B, 4.00 103 V. B; () 7.91 105 m/s () 3.78 105 m/s () 2.13 105 m/s () 2.52 106 m/s () 3.01 108 m/s
4. x = 3.00 m 120 V, x = 5.00 m 190 V.
,
; () 140 N/C () -140 N/C () 35.0 N/C () -35.0 N/C
() 75.0 N/C
6. ,
-x.
x = 20.0 cm x = 60.0 cm. (i)
- () , () , () , ()
; (ii) ,
() , () , () ()
;
10. .
+0.500 C, +1.50 C, -1.00 C, -0.500 C.
10.500 C 4.50 104 V,
; () 18.0
104 V () 4.50 104 V () 0 () -4.50 104 V () 9.00 104 V
11. , .
; () . () . ()
. () . ()
.
12. x = 0 x -40.0 nC.
-20.0 nC x x = 0.500 m. (i)
() x = 0, () x = 0 x = 0.500 m, () x = 0.500
m; (ii) , ; () ,
. () . () , . (iii)
; () , x = 0. () ,
x = 0 x = 0.500 m. () , x = 0.500 m. () .