Question 10 on networks from GATE (Graduate Aptitude Test in Engineering) 2012 Electronics and Communication Engineering paper.

## Q10. The average power delivered to an impedance by a current is

## (A) 44.2W

## (B) 50W

## (C) 62.5W

## (D) 125W

## Solution

The average power delivered to the load is integral of the instantaneous power over some period , i.e.

Given that , the equation reduces to,

.

In our example with

Plugging in,

.

**Based on the above, the right choice is (B) 50W**

** **

## References

[1] GATE Examination Question Papers [Previous Years] from Indian Institute of Technology, Madras http://gate.iitm.ac.in/gateqps/2012/ec.pdf

[2] http://en.wikipedia.org/wiki/Maximum_power_transfer_theorem

[3] http://en.wikipedia.org/wiki/AC_power

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