 Suppose you have an electric field that exerts a 1.9 × 10^-5 N upward force on a -1.8 μC charge.  What is the vertical component of the electric field in newtons per coulomb, taking up to be the positive direction.

The vertical component of the electric field (\( E_y \)) can be calculated using the formula for the force on a charge in an electric field:

\[
F = qE
\]

Where:
- \( F \) is the force on the charge (in newtons),
- \( q \) is the charge (in coulombs),
- \( E \) is the electric field (in newtons per coulomb).

Rearranging the formula for \( E \):
\[
E = \frac{F}{q}
\]

### Given:
- \( F = 1.9 \times 10^{-5} \, \text{N} \),
- \( q = -1.8 \, \mu\text{C} = -1.8 \times 10^{-6} \, \text{C} \).

Now substitute the values:
\[
E_y = \frac{1.9 \times 10^{-5}}{-1.8 \times 10^{-6}}
\]

Performing the calculation:

\[
E_y = -10.56 \, \text{N/C}
\]

### Interpretation:
Since the field exerts an upward force on a negatively charged particle, the electric field direction is downward (opposite the force on a negative charge). The vertical component of the electric field is:

\[
E_y = -10.56 \, \text{N/C}
\]

Would you like further clarification or details? Here are five related questions for practice:

1. How would the calculation change if the charge were positive?
2. What is the direction of the electric field relative to the force for a positive charge?
3. If the force were doubled, how would \( E_y \) change?
4. What would \( E_y \) be if the charge were \( -3.6 \, \mu\text{C} \) instead?
5. How does the sign of \( q \) affect the direction of the electric field?

**Tip**: Always check the sign of the charge to understand the direction of the electric field!

Suppose you have an electric field that exerts a 1.9 × 10^-5 N upward force on a -1.8 μC charge. What is the vertical component of the electric field in newtons per coulomb, taking up to be the positive direction?

Learn how to calculate the vertical component of an electric field when a force of 1.9 × 10^-5 N acts on a -1.8 μC charge. This step-by-step solution explains the relationship between force, charge, and electric field using the formula E = F / q. Suitable for high school students studying electrostatics.

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