The current and voltage in the given element are i ( t )=5 e ^{-5 t } \A and v ( t )=10 e ^{-5} t \V for t \geq0, respectively. Both v ( t ) and i ( t ) are zero for t

Correct Answer is : p(t)=50e−10tW

SSE JE Electrical Engineering 24 March 2021 Shift 1 Paper

Question : 160 of 200

Marks: +1, -0

The current and voltage in the given element are

i ( t )=5 e ^{-5 t } \A

and

v ( t )=10 e ^{-5} t \V

for

t ≥0

, respectively. Both

v ( t )

and

i ( t )

are zero for

t <0

. Find the power supplied to the element.

Solution:

Given:

\I =5 \e ^{-5 t } \A

\P=\V ×\I

By exponential property,

e^{t} .e^{t}=e^{2 t}

\P=50 e^{-10 t} \W

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