Question

Given gf=1/2gc, ge=1/2gd, ef=1/2dc, determine the value of ef in terms of gc, ge, and gd. a) ef = gc/4 b) ef = gc/2 c) ef = ge/2 d) ef = gd/2

Answer 1

The value of ef in terms of gc, ge, and gd is ef = ge, given the relationships gf = 1/2 gc, ge = 1/2 gd, and ef = 1/2 dc is ef=1/4gc. Option a is correct.

Step-by-step explanation:

The given expressions are:

gf=1/2gc

ge=1/2gd

ef=1/2dc

We want to express ef in terms of gc,ge, and gd.

First, let's isolate dc in terms of gc, ge, and gd using the given expressions:

From equation (1), gc=2gf implies gf=1/2 gc.

From equation (2), gd=2ge implies ge= 1/2gd.

So, the value of ef in terms of gc, ge, and gd is:

Substituting these into equation (3), we get:

ef=1/2​⋅1/2​⋅2gf

ef=1/2gf

Now, substitute gf= 1/2​ gc:

ef=1/4gc

Hence, option a is correct.