Question

1.Two identical charged uranium ions separated by 2.30 nm have
a force between them of 1.09 nN. What is the charge on each
ion and how many electron charges does this represent?

2.A positive charge is kept in the vicinity of a neutral conducting plate. Sketch the field lines of this system?

3.Mutual forces between two charges remain unaffected by the presence of other charges. Substantiate the statement.​

Answer 1

Answer:

1) charge on each ion is given as

$q = 8 \times 10^{-19} C$

total number of electrons is N = 5

2) Due to induction of opposite charge on the surface of the plate the electric field of the charge + plate system is same as the electric field due to a dipole

3)Coulomb's law is the net interaction force between two charge while the net force on one charge due to another charge will remain same

Explanation:

1) As we know that the electrostatic force between two charges is given as

$F = \frac{kqq}{r^2}$

$1.09 \times 10^{-9} = \frac{9 \times 10^9 q^2}{(2.30\times 10^{-9})^2}$

so we will have

$q = 8 \times 10^{-19} C$

now we have

$q = Ne$

$8 \times 10^{-19} = 1.6 \times 10^{-19} N$

$N = 5$

2)

When positive charge is kept in the vicinity of conducting large plate then due to induction of charge on large plate the electric field lines in the region is same as the field lines of the dipole

3)

The electric force between two charges is independent of the medium between two charges

the Coulomb's force between two or more charges gives the net value of interaction between two charges while the individual force between two or more charges will remain the same

#Learn

Topic : Electrostatic force

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