1. **State the problem:**
We have a force $F = 100$ N acting north on a point charge $q = -20$ microcoulombs ($-20 \times 10^{-6}$ C). We need to find the magnitude and direction of the electric field $E$ at this point.
2. **Formula used:**
The electric field $E$ at a point where a charge $q$ experiences a force $F$ is given by:
$$E = \frac{F}{|q|}$$
3. **Important rules:**
- The electric field direction is the direction of the force on a positive test charge.
- Since the charge here is negative, the force direction is opposite to the electric field direction.
4. **Calculate magnitude:**
$$E = \frac{100}{20 \times 10^{-6}} = \frac{100}{0.00002} = 5,000,000 \text{ N/C}$$
5. **Determine direction:**
- Force is directed north on a negative charge.
- Electric field direction is opposite to force for negative charge.
- Therefore, electric field points south.
**Final answer:**
The magnitude of the electric field is $5,000,000$ N/C and its direction is south.
Electric Field F9Aa08
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