Question

Circuit A has a resistance of 7.5 ohms, and circuit B has a resistance of 5 ohms. Which statement about the circuits must be correct?(1 point)

If the current in circuit A is less than the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.
If the current in circuit A is less than the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.

If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B.
If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B.

If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B.
If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B.

If the current in circuit A is equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.

Answer 1

To analyze the given statements regarding circuits A and B, we can use Ohm's Law, which states that \( V = I \times R \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance.

1. **If the current in circuit A is less than the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.**
This statement is not necessarily correct because the voltage is dependent on both the current and the resistance. Even if the current in circuit A is less, it could still have a higher voltage due to a higher resistance.

2. **If the current in circuit A is less than the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.**
Again, this is incorrect for the same reason as the previous point; the relationship between voltage and current is influenced by resistance.

3. **If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B.**
This statement does not hold true. Even if the voltages are equal, the currents can be different due to the different resistances.

4. **If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B.**
Again, this is incorrect for the same reason as the previous point.

5. **If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B.**
This is correct, because if the voltages are equal and the resistance of circuit A is higher (7.5 ohms compared to 5 ohms), the current in circuit A must be less than that in circuit B according to Ohm's Law.

6. **If the current in circuit A is equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.**
This is incorrect. If the currents are equal, the voltage in circuit A would actually be higher due to its higher resistance.

Based on this analysis, the only correct statement is:

**If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B.**