Question

. If a signal f(t) has energy E, the energy of the signal f(100t) is equal to ________

 E

 100E

 E/100

 400E​

Answer 1

Answer:

E/100

Step-by-step explanation:

We know that, E = ∫∞−∞f(t)2dt

Let, Es = ∫∞−∞f(t)2dt

Let 100t = p

Or, dt = dp/100

= ∫∞−∞f(t)2dp/100

So, Es = E/100.

Answer 2

The energy of the signal f(100 t) is equal to $\frac{E}{100}$.

Step-by-step explanation:

Given:

If a signal f(t) has energy E.

To Find:

The energy of the signal f(100t).

Formula Used:

If a signal f(t) has energy E.

The  energy of the signal $Af(Bt+c)=\frac{A^{2}E }{|B|}$    ----- Formula no.01.

Solution:

As given- If a signal f(t) has energy E.

For The energy of the signal f(100t).

A=1, B=100 and C=0

Applying formula no.01.

$Af(Bt+c)=\frac{A^{2}E }{|B|}$

$1\times f(100t+0)=\frac{1^{2}\times E }{|100|}$

$f(100t)=\frac{ E }{100}$

Thus,the energy of the signal f(100t) is equal to $\frac{E}{100}$.

PROJECT CODE#SPJ3