1.A point charge Q is located at the point (0,0). Find Vb-Va if point A is locat

Question

1.A point charge Q is located at the point (0,0). Find Vb-Va if point A is located at (0,2) and point B is located at (2,2)

2. Two lenses of focal length f1 and f2 respectively, are placed in contact with each other. Derive an expression for f-total, the focal length of the lens combination.

3.An insulating rod of lenght L and total charge Q (uniformly distributed) is bent into the shape of a semicircle with center at the origin and ends on the x-axis. Find an expression for the electric potential

Explanation / Answer

1. V = kq/r

Vb - Va = kQ/2sqrt(2)-kQ/2 = 0.5*kQ(1/sqrt(2)-1)

2)1/f = 1/f1 +1/f2

f = f1*f2/(f1+f2)

3) electric potential = kQ/r

now pi*r = L

r =L/pi

electric potential = kQ*pi/L

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