An ink-jet printer works by \"steering\" charged ink drops to the right place on
ID: 1405712 • Letter: A
Question
An ink-jet printer works by "steering" charged ink drops to the right place on the page by passing moving drops through a uniform electric field that deflects them by the appropriate amount. Figure 23-47 shows an ink drop approaching the field region, which has length ? and width d between the charged plates that establish the field. Find an expression for the minimum speed a drop with mass m and charge q must have if it is to get through the region without hitting either plate. (Ignore the effects of gravity, and assume that the droplet begins at height d/2. Use the following as necessary: ?, d, m, q, and E.)vmin =
E d
Explanation / Answer
The expression for the minimum speed a drop with mass m and charge q is
Y=1/2 a*t^(2)
=1/2 (qEm) t^(2)
=1/2(q*d/2*m)t^(2)
Vmin=1/4*(qdm)t^(2)