Current Limiting
1. **State the problem:**
We want to limit the current through a 50 ohm resistor to 10 A when connected to a 600 V power source by adding an auxiliary resistor.
2. **Identify known values:**
Voltage, $V = 600$ V
Desired current, $I = 10$ A
Resistance of resistor, $R_1 = 50 \ \Omega$
3. **Calculate total resistance needed to achieve 10 A current:**
Using Ohm's law, $V = IR$ so total resistance $R_{total} = \frac{V}{I} = \frac{600}{10} = 60 \ \Omega$
4. **Determine how to add the auxiliary resistor $R_2$ to get total resistance $R_{total}$:**
Since we want to limit current, adding resistance in series is required.
5. **Calculate the auxiliary resistor value:**
$$R_2 = R_{total} - R_1 = 60 - 50 = 10 \ \Omega$$
6. **Conclusion:**
Connect the auxiliary resistor in series with the 50 ohm resistor. The auxiliary resistor should have resistance 10 ohms.
**Final answer:** Auxiliary resistor = 10 ohms connected in series.