Home / Exercises 01 / Big and small resistors

Big and small resistors

The questions below are due on Wednesday September 11, 2019; 11:59:00 PM.
 
You are not logged in.

If you are a current student, please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.csail.mit.edu) to authenticate, and then you will be redirected back to this page.

1) Big and small

For this problem, imagine you have a 4-\Omega resistor, an 8-\Omega resistor, and a 12-\Omega resistor.

1.1) Biggest

What is the largest-valued resistor [in \Omega] that can be fabricated by combining these three resistors?

1.2) Smallest

What is the smallest-valued resistor [in \Omega] that can be fabricated by combining these three resistors?

1.3) The max

Suppose that each individual resistor can dissipate up to 1 W of power before burning up. Using one 4 \Omega resistor, one 12 \Omega resistor, and one 8 \Omega resistor construct a network that is equivalent to an 11 \Omega resistor.

How much current can the fabricated 11-\Omega resistor carry before burning up [in A]?