Power Consumption in Circuits – Rankers Physics
Topic: Current Electricity
Subtopic: Power of Electrical Circuit

Power Consumption in Circuits

Assertion (A): power consumed in circuit is maximum when current in circuit is maximum.
Reason (R): Current in circuit is maximum when power consumed by load is maximum.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Power consumed by the external resistor (R) is \(P = I^2R = \left(\frac{E}{R+r}\right)^2 R\). Maximum power is delivered to the load when the external resistance equals the internal resistance R=r, according to the maximum power transfer theorem. Maximum current occurs when (R=0). Therefore, both Assertion (A) and Reason (R) are false.

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