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GATE-2012 ECE Q10 (networks)

by Krishna Sankar on April 5, 2013

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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