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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 co...Asked by bruh no
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 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. 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 equ
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. 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 equ
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GPT-4o mini
To analyze the situation, we can use Ohm's Law, which states that \( V = I \cdot R \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance.
Circuit A has a resistance of \( R_A = 7.5 \, \Omega \) and Circuit B has a resistance of \( R_B = 5 \, \Omega \).
1. **If the current in circuit A is less than the current in circuit B**:
- Let \( I_A < I_B \).
- Voltage in circuit A: \( V_A = I_A \cdot R_A \)
- Voltage in circuit B: \( V_B = I_B \cdot R_B \)
- If \( I_A < I_B \) and knowing resitance, \( R_A > R_B \), we cannot conclude that \( V_A < V_B \).
2. **If the current in circuit A is equal to the current in circuit B**:
- Let \( I_A = I_B \).
- Then \( V_A = I_A \cdot 7.5 \) and \( V_B = I_A \cdot 5 \).
- Since \( 7.5 > 5 \), it follows that \( V_A > V_B \).
3. **If the voltage of circuit A is equal to the voltage of circuit B**:
- Here, \( V_A = V_B \).
- That means \( I_A \cdot 7.5 = I_B \cdot 5 \).
- Given that \( R_A > R_B \), this would require \( I_A < I_B \) for the voltages to remain equal.
Based on this analysis, 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.**
This is the only universally true statement given the values of resistance in the two circuits.
Circuit A has a resistance of \( R_A = 7.5 \, \Omega \) and Circuit B has a resistance of \( R_B = 5 \, \Omega \).
1. **If the current in circuit A is less than the current in circuit B**:
- Let \( I_A < I_B \).
- Voltage in circuit A: \( V_A = I_A \cdot R_A \)
- Voltage in circuit B: \( V_B = I_B \cdot R_B \)
- If \( I_A < I_B \) and knowing resitance, \( R_A > R_B \), we cannot conclude that \( V_A < V_B \).
2. **If the current in circuit A is equal to the current in circuit B**:
- Let \( I_A = I_B \).
- Then \( V_A = I_A \cdot 7.5 \) and \( V_B = I_A \cdot 5 \).
- Since \( 7.5 > 5 \), it follows that \( V_A > V_B \).
3. **If the voltage of circuit A is equal to the voltage of circuit B**:
- Here, \( V_A = V_B \).
- That means \( I_A \cdot 7.5 = I_B \cdot 5 \).
- Given that \( R_A > R_B \), this would require \( I_A < I_B \) for the voltages to remain equal.
Based on this analysis, 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.**
This is the only universally true statement given the values of resistance in the two circuits.
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