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 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 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 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 less than the current in circuit B.

## Step 1<br />The problem involves understanding the relationship between voltage, current, and resistance in electrical circuits. This relationship is described by Ohm's Law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. The formula for Ohm's Law is:<br />### \(I = \frac{V}{R}\)<br />where \(I\) is the current, \(V\) is the voltage, and \(R\) is the resistance.<br /><br />## Step 2<br />Given that Circuit A has a resistance of 7.5 ohms and Circuit B has a resistance of 5 ohms, we can analyze the statements:<br /><br />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. This statement is incorrect because, according to Ohm's Law, if the voltage is the same but the resistance is different, the current will be different.<br /><br />2. 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 correct. Since Circuit A has a higher resistance than Circuit B, for the currents to be equal, the voltage in Circuit A must be less than that in Circuit B to compensate for the higher resistance.<br /><br />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. This statement is incorrect. A lower current in Circuit A does not necessarily mean a lower voltage, especially since Circuit A has a higher resistance.<br /><br />4. 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 statement is correct. For the same voltage, a higher resistance (as in Circuit A) will result in a lower current.