1. **State the problem:**
A force of 100 N is acting north on a point charge of -20 microcoulombs. We need to find the magnitude and direction of the electric field at this point.
2. **Formula used:**
The electric field $\vec{E}$ at a point where a charge $q$ experiences a force $\vec{F}$ is given by:
$$\vec{E} = \frac{\vec{F}}{q}$$
3. **Important rules:**
- The charge $q$ must be in coulombs (C). Here, $-20$ microcoulombs = $-20 \times 10^{-6}$ C.
- The direction of the electric field is the direction of the force on a positive charge. Since the charge is negative, the electric field direction is opposite to the force direction.
4. **Calculate magnitude of electric field:**
$$E = \frac{|F|}{|q|} = \frac{100}{20 \times 10^{-6}} = \frac{100}{0.00002} = 5,000,000 \text{ N/C}$$
5. **Determine direction:**
- Force is directed north on a negative charge.
- Electric field direction is opposite to force direction 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 1673Aa
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