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 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 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 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.
To determine the correct statement about the circuits, we need to apply Ohm's Law. Ohm's Law states that the current flowing through a circuit is directly proportional to the voltage across the circuit and inversely proportional to the resistance of the circuit.
In this case, for circuit A with a resistance of 7.5 ohms and circuit B with a resistance of 5 ohms, the following statements can be evaluated:
1. 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.
To determine if this statement is correct, we need to compare the currents in the two circuits. However, we do not have enough information about the voltages in circuit A and B. The resistance alone cannot determine the current, so we cannot conclude that the current in circuit A is less than circuit B based solely on the 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.
This statement is incorrect. Based on Ohm's Law, if the current is lower in circuit A, it means that there is more resistance in circuit A than in circuit B. Therefore, the voltage across circuit A must be higher than the voltage across circuit B.
3. 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 statement is also incorrect. If the currents are equal in both circuits, it means that the voltages will be the same across the circuits, as the resistance values are fixed. So, the voltage in circuit A would be equal to the voltage in circuit B.
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.
This statement is correct. If the voltages are equal and the resistance values are fixed, then by applying Ohm's Law, the current would also be equal in both circuits.
Therefore, 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 equal to the current in circuit B.