A droplet of ink in an industrial ink jet printer carries a charge of 1.6 x 10 to the power of -10C and is deflected onto paper by a force of 3.2 x 10 to the power of -4N. What is the strength of the electric field to produce this force?
To find the strength of the electric field, we can use the formula:
Electric field strength = Force / Charge
Given:
Charge (q) = 1.6 x 10^(-10) C
Force (F) = 3.2 x 10^(-4) N
Using the formula, we can substitute the values:
Electric field strength = (3.2 x 10^(-4) N) / (1.6 x 10^(-10) C)
Simplifying the expression, we divide the numerator and denominator by 10^(-10):
Electric field strength = (3.2 x 10^(-4) N) / (1.6 x 10^(-10) C) = 2 x 10^(6) N/C
Therefore, the strength of the electric field required to produce this force is 2 x 10^6 N/C.
To find the strength of the electric field required to produce the given force, we can use the equation:
Force = Electric field x Charge
Rearranging the equation to solve for the electric field:
Electric field = Force / Charge
Plugging in the given values:
Electric field = (3.2 x 10^-4 N) / ( 1.6 x 10^-10 C)
Now, let's simplify the expression:
Electric field = (3.2 / 1.6) (10^-4 / 10^-10) N/C
Electric field = 2 (10^6) N/C
Therefore, the strength of the electric field required to produce the given force is 2 x 10^6 N/C.