Answer:
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-by-step explanation:
To know the the correct answer to the question, do the following:
Case 1: Let the circuit A and B have equal voltage say 24 V.
For Circuit A:
Voltage (V) = 24 V
Resistance (R) = 7.5 ohms
Current (I) =?
V = IR
24 = I × 7.5
Divide both side by 7.5
I = 24 / 7.5
I = 3.2 A
For Circuit B:
Voltage (V) = 24 V
Resistance (R) = 5 ohms
Current (I) =?
V = IR
24 = I × 5
Divide both side by 5
I = 24 / 5
I = 4.8 A
Thus for the same voltage, current in circuit A is less than the current in B.
Case 2: Let circuit A and B have equal current say 2 A
For circuit A:
Current (I) = 2 A
Resistance (R) = 7.5 ohms
Voltage (V) =?
V = IR
V = 2 × 7.5
V = 15 V
For Circuit B:
Current (I) = 2 A
Resistance (R) = 5 ohms
Voltage (V) =?
V = IR
V = 2 × 5
V = 10 V
Thus, for the same current, the voltage in circuit A is greater than the voltage in B
Case 3: Let circuit A have a current of 4 A and circuit B have a current of 5 A
For circuit A:
Current (I) = 4 A
Resistance (R) = 7.5 ohms
Voltage (V) =?
V = IR
V = 4 × 7.5
V = 30 V
For circuit B:
Current (I) = 5 A
Resistance (R) = 5 ohms
Voltage (V) =?
V = IR
V = 5 × 5
V = 25 V
Thus, when the current in circuit A is less than the current in circuit B, the voltage in circuit A is greater than the voltage in circuit B.
From the illustrations above and the options given in the question, the current answer 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