A droplet of ink in an industrial ink-jet printer carries a charge of 1.6 × 10?10 C and is deflected onto paper by a force of 3.2 × 10?4 N. Show that the strength of the electric field to produce this force is 2 million N/C.

Solution 6P Introduction If q is the charge and E is the strength of the electric field, then the force acting on the particle is given by F = qE Step 1 The above equation can also be written by F E = q In the given problem we have 10 q = 1.6 × 10 C Adn F = 3.2 × 10 4 N So using above formula we can write that 4 E = (3.2×10) = 2.0 × 10 N/C = 2.0 MN/C (1.6×10C) Hence it is proved that the electric field strength is 2 million Newton/C.