Question

Circuit A has a voltage of 10 V, and circuit B has a voltage of 15 V. Which statement about the circuits is correct?(1 point)
Responses

If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater than the current in circuit B.
If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater than the current in circuit B.

If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance in circuit B.
If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance in circuit B.

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

If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the current in circuit B.

Answer 1

To analyze the statements, let's use Ohm's Law, which states that Voltage (V) = Current (I) × Resistance (R) or rearranged as I = V/R.

We have:
- Circuit A: Voltage (V_A) = 10 V
- Circuit B: Voltage (V_B) = 15 V

Now, let's analyze the statements one by one:

1. **If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater than the current in circuit B.**
- This is incorrect. If \( R_A > R_B \), then the current in circuit A (I_A) would be less than the current in circuit B (I_B) because of the inversely proportional relationship in Ohm's Law.

2. **If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance in circuit B.**
- This is not necessarily true because even if the currents are equal, the resistances can still be different unless the voltages are also equal.

3. **If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.**
- This is correct. According to Ohm's Law, if the voltage is constant, a higher current implies lower resistance.

4. **If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the current in circuit B.**
- This is incorrect since equal resistance and different voltages imply different currents, with the current in circuit B being greater.

Given the analysis, the most accurate statement is:

**If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.**