Question

find the work done in bringing a charge q from perpendicular distance r1 to r2 (r2 is greater than r1)​

Answer 1

Answer:

SOLUTION

Let's suppose the charge is moved by an infinitely small distance dr. Small work is done in moving the charge, dw = qdV where V is the Potential difference between the two points.

Now,

dV =∫E.dr=-∫r1r2 λdr2πrε0=λ2πε0∫r1r2drr=λ2πε0In[r1r2]

Work done =