Auxiliary Resistor
1. **State the problem:** We want to limit the current flowing through a 50 ohm resistor to 10 A when connected to a 600 V power source. We need to find how to connect an auxiliary resistor and find its resistance.
2. **Analyze the situation:**
- The voltage across the combined resistors is $V = 600$ V.
- The desired current is $I = 10$ A.
- The resistor $R_1 = 50$ ohms.
3. **Find the total resistance needed:** Using Ohm's law $V = IR$, the total resistance $R_{total}$ should be:
$$
R_{total} = \frac{V}{I} = \frac{600}{10} = 60 \ \Omega
$$
4. **Determine how to connect auxiliary resistor:**
- Since adding resistance in series adds values, $R_{total} = R_1 + R_{aux}$.
- Since adding resistance in parallel lowers total resistance, it cannot reach 60 ohms if $R_1=50$ ohms only.
So the auxiliary resistor must be connected in series.
5. **Calculate auxiliary resistance:**
$$
R_{aux} = R_{total} - R_1 = 60 - 50 = 10 \ \Omega
$$
**Final answer:** Auxiliary resistor should be connected in series with resistance 10 ohms.