Questions: A droplet of ink in an industrial ink-jet printer carries a charge of 1.4 x 10^-10 C and is deflected onto paper by a force of 2.7 x 10^-4 N Find the strength of the electric field to produce this force. Express your answer with the appropriate units.

A droplet of ink in an industrial ink-jet printer carries a charge of 1.4 x 10^-10 C and is deflected onto paper by a force of 2.7 x 10^-4 N Find the strength of the electric field to produce this force. Express your answer with the appropriate units.
Transcript text: A droplet of ink in an industrial ink-jet printer carries a charge of $1.4 \times 10^{-10} \mathrm{C}$ and is deflected onto paper by a force of $2.7 \times 10^{-4} \mathrm{~N}$ Find the strength of the electric field to produce this force. Express your answer with the appropriate units.
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Solution

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Solution Steps

Step 1: Formula

The strength of the electric field (E) is given by the formula: E = F/q where:

  • E is the electric field strength
  • F is the force exerted on the charge
  • q is the magnitude of the charge
Step 2: Calculation

Given:

  • F = 2.7 × 10⁻⁴ N
  • q = 1.4 × 10⁻¹⁰ C

Substitute the given values into the formula:

E = (2.7 × 10⁻⁴ N) / (1.4 × 10⁻¹⁰ C) E = 1.92857 × 10⁶ N/C

Step 3: Rounding for Significant Figures

Since the given values have two significant figures, we should round the final answer to two significant figures. E ≈ 1.9 × 10⁶ N/C

Final Answer:

The strength of the electric field is 1.9 × 10⁶ N/C.

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