Question

The voltage and current in an element are given as v(t) = 12 e^-8t V and i(t) = 5e^-8t A for t ≥ 0. Find the power.
1. 10 e^-16t W
2. 60 e^-16t W
3. 12/5 e^-16t W
4. 60 e^-8t W

Answer 1

Correct Answer - Option 2 : 60 e^-16t W

Concept:

The power consumed by the resistor is given by:

P = VI

\(P=I^2R=\frac{V^2}{R}\)

I = Current across the Resistor

V = Voltage across the Resistor

Calculation:

v(t) = 12 e^-8t V

i(t) = 5e^-8t A

P = 12 e^-8t × 5e^-8t = 60 e^-16t W