Συμπληρωματικές Ασκήσεις 1ης Προόδου

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Transcript of Συμπληρωματικές Ασκήσεις 1ης Προόδου

  • - 1

    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

  • 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

  • 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. () .