Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q19P

Expert-verified
Fundamentals Of Physics
Found in: Page 796

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

A total resistance of 3.00 Ω is to be produced by connecting an unknown resistance to a 12.0 Ω resistance.

  1. What must be the value of the unknown resistance, and
  2. (b) Should it be connected in series or in parallel?

  1. The value of the unknown resistance is R'=4.00Ω
  2. The unknown resistance should be connected in parallel.
See the step by step solution

Step by Step Solution

Step 1: Given

Req =3.00 ΩR=12.0 Ω

Step 2: Determining the concept

It can be predicted whether the unknown resistance is connected parallel or series from the given values. Then using the formula for corresponding equivalent resistance, find the value of the unknown resistance.

Formulae are as follow:

1Req=1R+1R'

Where, R is resistance.

Step 3: (a) determining the value of the unknown resistance

Let the unknown resistance connected be R’.

From the given values, we can write that Req<R.

This implies that the unknown resistance is connected in parallel.

Hence,

1Req=1R+1R'Req=RR'R+R'3=12R'12+R'36+3R'=12R'R'=4.00Ω

Hence, the value of the unknown resistance is R'=4.00Ω

Step 3: (a) Determining the unknown resistance should be connected in series or in parallel

From part a),

it can be concluded that the unknown resistance should be connected in parallel.

Hence, the unknown resistance should be connected in parallel.

Therefore, by using the formula for corresponding equivalent resistance, unknown resistance can be determined.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.