Question
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Electrical Energy Properties Quick Check
2 of 42 of 4 Items
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 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 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 equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.
Electrical Energy Properties Quick Check
2 of 42 of 4 Items
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 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 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 equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B.
Answers
GPT-4o mini
To determine which statement is correct regarding Circuit A and Circuit B, we can use Ohm's Law, which states:
\[ V = I \times R \]
Where:
- \( V \) is the voltage,
- \( I \) is the current, and
- \( R \) is the resistance.
Given:
- Circuit A has a resistance of 7.5 ohms.
- Circuit B has a resistance of 5 ohms.
1. **For the first statement:**
"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 \( V_A = V_B \), and given \( R_A > R_B \), the current \( I_A \) in Circuit A will be less than the current \( I_B \) in Circuit B. **(This statement is TRUE)**
2. **For the second statement:**
"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 is not necessarily true, since it could depend on the resistances. A lower current can occur with a higher voltage if resistance is also high. **(This statement is FALSE)**
3. **For the third statement:**
"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 is false because, with different resistances, equal voltages will result in different currents. **(This statement is FALSE)**
4. **For the fourth statement:**
"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 \( I_A = I_B \), then \( V_A \) will be greater because \( R_A \) is greater. **(This statement is FALSE)**
**Conclusion:**
The first statement is the only correct statement regarding the relationship between the two circuits.
\[ V = I \times R \]
Where:
- \( V \) is the voltage,
- \( I \) is the current, and
- \( R \) is the resistance.
Given:
- Circuit A has a resistance of 7.5 ohms.
- Circuit B has a resistance of 5 ohms.
1. **For the first statement:**
"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 \( V_A = V_B \), and given \( R_A > R_B \), the current \( I_A \) in Circuit A will be less than the current \( I_B \) in Circuit B. **(This statement is TRUE)**
2. **For the second statement:**
"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 is not necessarily true, since it could depend on the resistances. A lower current can occur with a higher voltage if resistance is also high. **(This statement is FALSE)**
3. **For the third statement:**
"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 is false because, with different resistances, equal voltages will result in different currents. **(This statement is FALSE)**
4. **For the fourth statement:**
"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 \( I_A = I_B \), then \( V_A \) will be greater because \( R_A \) is greater. **(This statement is FALSE)**
**Conclusion:**
The first statement is the only correct statement regarding the relationship between the two circuits.