Find the power p(t), supplied by the element when v(t) = 4 cos 3t V and .

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PGCIL Diploma Trainee EE Official Paper held on 13 September 2018
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Answer (Detailed Solution Below)

Option 4 :
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PGCI DT EE Power System Mock Test
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Detailed Solution

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Concept:

Power supplied by a source is given by:

p(t) = v(t) × i(t)

v(t) is the voltage

i(t) is the current

Trigonometric Property:

sin 2θ = 2 sinθ cosθ

Calculation:

With v(t) = 4 cos 3t V and

Power supplied will be:

Multiplying both the numerator and denominator by 2, we get:

Using trig. property:

2 sin3t cos3t = sin 6t

∴ The power supplied will be:

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