Power is directly proportional to flowing current in circuit and applied potential difference. as formula p=vi

Power is proportional to voltage:
When it comes to electrical circuits, power is defined as the rate at which work is done or energy is transferred. The power in a circuit can be calculated using the formula P = VI, where P represents power, V represents voltage, and I represents current.

Power is proportional to current:
According to Ohm's Law, the current flowing through a conductor is directly proportional to the voltage applied across it, given that the resistance remains constant. Mathematically, this relationship is represented as I = V/R, where I represents current, V represents voltage, and R represents resistance.

Explanation:
Both statements (a) and (b) are true. Let's understand how power is proportional to voltage and current.

Power is proportional to voltage:
When the voltage across a circuit or a component increases, the power consumed by that circuit or component also increases. This is because power is directly proportional to voltage. If the voltage is doubled, the power consumed will also double, assuming the current and resistance remain constant. Similarly, if the voltage is halved, the power consumed will also be halved.

Power is proportional to current:
Similarly, when the current flowing through a circuit or a component increases, the power consumed by that circuit or component also increases. This is because power is directly proportional to current. If the current is doubled, the power consumed will also double, assuming the voltage and resistance remain constant. Similarly, if the current is halved, the power consumed will also be halved.

Conclusion:
In summary, both statements (a) and (b) are true. Power is directly proportional to both voltage and current. It is important to note that these relationships hold true when the resistance remains constant. In practical circuits, power consumption can be controlled by adjusting either the voltage or the current, depending on the desired outcome.