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Inga [223]
3 years ago
15

According to Coulomb's law, what happens to the attraction of two oppositely charged objects as their distance of separation inc

reases?
(a) increases (b) decreases
(c) remains uncharged (d) cannot be determined
Physics
1 answer:
NARA [144]3 years ago
7 0

Answer:

Option B. Decreases

Explanation:

Coulomb's law states that:

F = Kq₁q₂ / r²

Where:

F => is the force of attraction between two charges

K => is the electrical constant.

q₁ and q₂ => are the two charges

r => is the distance apart.

From the formula:

F = Kq₁q₂ / r²

The force of attraction (F) is inversely proportional to the square of their separating distance (r).

This implies that as the distance between them increase, the force of attraction between the two charges will decrease and as the distance between two charges decrease, the force of attraction between them will increase.

Considering the question given above and the illustration given above, the force of attraction will decrease as their distance of separation increases.

Option B gives the right answer to the question.

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Read 2 more answers
A 10-cm-long thin glass rod uniformly charged to 8.00 nCnC and a 10-cm-long thin plastic rod uniformly charged to - 8.00 nCnC ar
ch4aika [34]

Complete Question

A 10-cm-long thin glass rod uniformly charged to 8.00 nC and a 10-cm

long thin plastic rod uniformly charged to -8.00 nC are placed side by

side, 4.20 cm apart. What are the electric field strengths E_1 to E_3 at

distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line

connecting the midpoints of the two rods

a.) Specify the electric field strength E1

b.) Specify the electric field strength E2

c.) Specify the electric field strength E3

Answer:

              E_1=7.13*10^5 N/C

             E_2= 2.95*10^{5} N/C

              E_3= 3.84*10^5 N/C

Explanation:

  From the question we are told that

          The length of the thin glass is  L = 10 cm

          The  charge on the glass rod is  q_g = 8.00nC = 8* 10^{-9} C

           The length of the plastic rod is  L_p = 10cm

             The charge on the  plastic rod is q_p =- 8.00nC = -8.0*10^{-9}C

           The distance between the materials  is d = 4.20cm = \frac{4.2}{100} =0.042m

          The various distances to obtain electric field of are r_1 = 1.0cm

                                                                                                r_2 = 2.0cm

                                                                                                 r_3 = 3.0cm

The objective of the solution is to obtain the electric field E_1 , E_2 \ and E_3 at distance d_1 , d_2 \ and \ d_3  from the glass rod  along the line connecting its mid point  

   Generally electric field of a charge rod at a distance of r the line dividing the rod  into half  is mathematically represented as

                              E = k \frac{2Q}{r\sqrt{L^2 + 4r^2} }

For the  r_2 = 1.0cm = \frac{1}{100} = 0.01m

The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

                               E_l =  k \frac{2Q }{r \sqrt{L^2 + 4r^2_1} }

The electric filed by the positively charge glass rod on the right  side of the dividing line is mathematically represented as  

                            E_r =  k \frac{2Q }{(0.044 - r_1) \sqrt{L^2 + 4r^2_1} }

The net electric field is,

            E_{net} =E_1= E_l + E_r

                    = k \frac{2Q}{r_1\sqrt{L^2 + 4 r^2_1 } } + k \frac{2Q}{(0.04-r_1) \sqrt{L^2 + 4 (0.044 -r_1)^2} }

Where k is  know as the coulomb's constant  with a constant value of

                  k = 9*10^9 \ kgm^3 s^{-4} A^{-2}

           =(9*10^9) \frac{(2) (8*10^{-9})}{(0.01)\sqrt{(0.01^2 + 4(0.01)^2)} }  + (9* 10^9 ) \frac{(2)(8*10^{-9})}{(0.0420 - 0.01)\sqrt{(0.01)^2 + (4) (0.042 - 0.01)^2} }

                           = 6.44*10^5 + 6.9*10^4

                           E_1=7.13*10^5 N/C

For the  r_2 = 2.0cm = \frac{2}{100} = 0.02m

           The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

                               E_l =  k \frac{2Q }{r_2 \sqrt{L^2 + 4r^2_2} }

The electric filed by the positively charge glass rod on the right  side of the dividing line is mathematically represented as  

                            E_r =  k \frac{2Q }{(0.044 - r_2) \sqrt{L^2 + 4r^2_2} }

The net electric field is,

            E_{net} =E_2= E_l + E_r

                    = k \frac{2Q}{r_2\sqrt{L^2 + 4 r^2_2 } } + k \frac{2Q}{(0.04-r_2) \sqrt{L^2 + 4 (0.044 -r_2)^2} }

Where k is  know as the coulomb's constant  with a constant value of

                  k = 9*10^9 \ kgm^3 s^{-4} A^{-2}

           =(9*10^9) \frac{(2) (8*10^{-9})}{(0.02)\sqrt{(0.02^2 + 4(0.02)^2)} }  + (9* 10^9 ) \frac{(2)(8*10^{-9})}{(0.0420 - 0.02)\sqrt{(0.02)^2 + (4) (0.042 - 0.02)^2} }

            = 1.6*10^{5}+ 1.3*10^{5}

             E_2= 2.95*10^{5} N/C

For the  r_3 = 3.0cm = \frac{3}{100} = 0.03m

           The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

                               E_l =  k \frac{2Q }{r_3 \sqrt{L^2 + 4r^2_3} }

The electric filed by the positively charge glass rod on the right  side of the dividing line is mathematically represented as  

                            E_r =  k \frac{2Q }{(0.044 - r_3) \sqrt{L^2 + 4r^2_3} }

The net electric field is,

            E_{net} =E_3= E_l + E_r

                    = k \frac{2Q}{r_3\sqrt{L^2 + 4 r^2_3 } } + k \frac{2Q}{(0.04-r_3) \sqrt{L^2 + 4 (0.044 -r_3)^2} }

Where k is  know as the coulomb's constant  with a constant value of

                  k = 9*10^9 \ kgm^3 s^{-4} A^{-2}

           =(9*10^9) \frac{(2) (8*10^{-9})}{(0.03)\sqrt{(0.03^2 + 4(0.03)^2)} }  + (9* 10^9 ) \frac{(2)(8*10^{-9})}{(0.0420 - 0.03)\sqrt{(0.03)^2 + (4) (0.042 - 0.03)^2} }

        = 7.2 *10^{4} + 3.1*10^5

      E_3= 3.84*10^5 N/C                

8 0
3 years ago
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