Anonymous
Anonymous asked in Science & MathematicsEngineering · 1 month ago

Electrical engineering: circuits?

So I am solving the total resistance of a given complex circuit. I had an easy time simplifying those with rectangular shape until i came across this one:

So what I did was redraw this into a rectangle, where each two resistors are placed into the top and bottom.

Then, I added all the resistance at the top followed by the bottom since they are just in series.

R(top)= 1+2 =3 ohms

R(bottom)= 1+1=2 ohms

Now, the top and bottom resistance are parallel. So,

R total = (1/3 +1/2)^-1= 1.2 ohms

Is this correct?

Relevance
• 1 month ago

This is the redrawn circuit with the Prod/sum calculation of Req.

• 1 month ago

(1+2)||(1+1) = 3*2/(1+2+1+1) = 6/5 = 1.2Ω

• ?
Lv 7
1 month ago

Yes. The first stage with any circuit exercise is to redraw it such that the simplification process becomes obvious.

• ?
Lv 7
1 month ago

Yes.

In fact: you've hit upon a great method for dealing with such problems.

It's common for homework and test problems to have circuits drawn in a non-standard format in an attempt to confuse the student

and so

redrawing circuits in a format that is familiar to you is a great method for dealing with those particular problems.

Note, though, that sometimes the redrawing method doesn't work. Sometimes a circuit just has a strange format that literally cannot be redrawn into a standard format. In such cases you have to use different (more complicated) tricks to figure out the properties of the circuit.

• 1 month ago

Yes, that is correct.

For a mental shortcut to work out parallel resistances like that, imagine each is in turn made up of a value that is a common multiple of both; eg. six ohms for that example, as a multiple of both 2 and 3.

The upper leg (3R) is like two 6R in parallel, the lower leg is like three 6R in parallel.

The overall network is equivalent to five, 6R resistors in parallel.

Another mental shortcut to divide by five; double it and move the decimal point.

12, 1.2

1.2 Ohms.

It works for any number of resistors in parallel & avoids the reciprocal calcs; as an electronics designer it means much less hassle & less calculator use.