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) Responses 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 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 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. 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. 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.

Answer 1

To determine the correct statement about the circuits based on their resistances, we can apply Ohm's Law, which states:

\[ V = IR \]

Where:
- \( V \) is the voltage,
- \( I \) is the current, and
- \( R \) is the resistance.

1. Given:
- Resistance of circuit A (\( R_A \)) = 7.5 ohms
- Resistance of circuit B (\( R_B \)) = 5 ohms

### Analyzing the Statements:

- **Statement 1:** 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.
- **False.** \( V_A = V_B \) does not imply \( I_A = I_B \) if resistances are different (as they are in this case).

- **Statement 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.
- **False.** The statement reverses the relationship of voltage and resistance based on given currents.

- **Statement 3:** 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.
- **False.** Again, this isn’t necessarily true since higher resistance will lead to lower current for the same voltage.

- **Statement 4:** 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.
- **False.** Higher resistance implies a higher voltage if currents are equal.

- **Statement 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.
- **True.** If \( V_A = V_B \) and since \( R_A > R_B \), it follows that \( I_A < I_B \) according to Ohm's law.

### Conclusion:

The 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.**