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)

Question

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.