Question

Looking at the various electric lines of forces between
charges Q, and Q, find the value of Q,/Qz.​

Answer 1

Ratio of charges = Q1/Q2 = r1². E1 / r2². E2

Explanation:

At Q1, the electric lines of force are moving outwards and hence carry a positive charge. Whereas at Q2, the electric lines of force are moving inwards towards the charge, so they carry a negative charge.

We find that at Q1 , the electric lines of force are more concentrated.  

This implies that the electric flux of charge Q1 and the electric field are greater when compared to Q2. Therefore, the magnitude of charge Q1 will be greater than Q2.

Electric field due to charges Q1 and Q2 is:

E1 = 1/4π∈o(Q1/r1²)  

So Q1 = 4π∈o. r1². E1

Similarly Q2 = 4π∈o. r2². E2

Q1/Q2 = 4π∈o. r1². E1 / 4π∈o. r2². E2

Q1/Q2 = r1². E1 / r2². E2

Since both the charges are opposite to each other, the ratio will be a negative value.

Answer 2

Answer:

Q1/Q2 = r1^2.E1 / r2^2.E2