Question

Find the power, given energy e = 2j and current density j = x 2 j=x2 varies from x = 0 and x = 1.

Answer 1

Given :  E = 2J and  current density J = x2 varies from x = 0  and x = 1.

To Find   Power

a) 1/3

b) 2/3

c) 1

d) 4/3

Solution:

energy E = 2J

current density J = x2 varies from x = 0  and x = 1

Power =  ∫ E. J dx

    $=\int\limits^1_0 {2x^2} \, dx$  

  $=2\int\limits^1_0 {x^2} \, dx$  

using integration ∫xⁿ  = xⁿ⁺¹ / (n + 1)

$=2 \left[\dfrac{x^3}{3} \right]_{0}^1$  

$=2 \left[\dfrac{1^3}{3} -\dfrac{0^3}{3} \right]_{0}^1$  

= 2 (1/3)

= 2/3

power, = 2/3

Learn More:

calculate energy and power consumed by 8 ohm resistor in one ...

https://brainly.in/question/10685640

Which of the following pairs are similar?(A) work and power(B ...

https://brainly.in/question/4625412