Question

Problem 1 The figure shows a rectangular array of charged particles fixed in place, with distance a - 42.9 cm and the charges shown as integer multiples of qi-4.23 pC and q2 5.40 pC. With V -0 at infinity, what is the net electric potential at the rectangle's center? +4 42 4i la 7 fi +4 Problem 2 A spherical drop of water carrying a charge of 29 pC has a potential of 660 V at its surface (with V = 0 at infinity). (a) What is the radius of the drop? (b) If two such drops of the same charge and radius combine to form a single spherical drop, what is the potential at the surface of the new drop?

Answer 1

Given is:-

and

Now,

the length of the diagonal of the given rectangle is

and

The electric potential due a charge q at a distance r is given by

Potential is a scalar quantity

therefore

the Net electric potential at the centerr of rectangle is

or

by plugging the value of K and the charges we get

which gives us