# Big and small resistors

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## 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]?