Question

State Coulomb's law.Show graphically the variation of (a) F and 1/r² and (b) F and r.​

Answer 1

Answer:

think , your question is -------Plot a graph showing the variation of coulomb force (F) versus (1/r²),where r is the distance between the two charges of each pair of charges:(1μC,2μC) and (2μC,-3μC).Interpret the graphs obtained.

solution :- according to Columbus force ,

\bold{F\propto\frac{Q_1Q_2}{r^2}}F∝

r

2

Q

1

Q

2

Here Q₁ and Q₂ are the charge separated in r distance .

hence, force , F_AF

A

act between 1μC and 2μC , \bold{F_A\propto\frac{2}{r^2}}F

A

∝

r

2

2

Similarly,force F_BF

B

act between 2μC and -3μC , \bold{F_B\propto\frac{-6}{r^2}}F

B

∝

r

2

−6

Now, here you can see that, |F_B|\ \textgreater \ |F_A|∣F

B

∣ > ∣F

A

∣

Hence, graph between F and 1/r² , will be straight line where line B has higher slope than line A as shown in figure