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 (E) = Force (F) / Charge (Q)
Given:
Force (F) = 3.2 x 10^(-4) N
Charge (Q) = 1.6 x 10^(-10) C
Now we can substitute the given values into the formula to calculate the electric field:
E = F / Q
E = 3.2 x 10^(-4) N / 1.6 x 10^(-10) C
To divide the values in scientific notation, we subtract the exponents of 10 and divide the coefficients:
E = 2 x 10^(4-(-10)) N/C
E = 2 x 10^(14) N/C
Therefore, the strength of the electric field required to produce the given force is 2 x 10^14 N/C.
To calculate the strength of the electric field, we can use the equation F = qE, where F is the force, q is the charge, and E is the electric field strength.
Given:
Force (F) = 3.2 x 10^-4 N
Charge (q) = 1.6 x 10^-10 C
We can rearrange the equation to solve for E:
E = F/q
Substituting the given values:
E = (3.2 x 10^-4 N)/(1.6 x 10^-10 C)
Now, let's simplify the expression:
E = (3.2/1.6) x (10^-4/10^-10) N/C
Dividing the numbers:
E = 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.