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Network Elements and the Concept of Circuit

  1. What will be the power dissipated in R in above question?
    1. 2.5 × 10–3 joule
    2. 25 × 10–3 joule
    3. .25 × 10–3 joule
    4. None of these
Correct Option: A

Since energy will be maximum when
sin 2πt = 1

sin 2πt = sin
π
2

t =
1
sec
4

Power dissipated
= I2 R = (10– 4 sin 2πt)2. 106 = 10– 2 sin2 2πt
Power dissipated
= 1 / 2(10–2 sin2 2πt) dt
0

= 1 / 2
1
(1 – cos 4πt) dt
02

= 2.5 × 10– 3 joule
Note:
Since the current flows in resistor for
1
sec during charging and
1
sec during discharging so
44

t =
1
+
1
=
1
sec.
442

∴ Power dissipated from 0 to
1
sec .
2



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