You and your team are stranded on a tropical island that hosts a deserted military base. In your efforts to get rescued, you find a radio. However, when you power it up some lights turn on, but the radio does not transmit or receive. You open up the back cover and quickly identify the problem: There is a burnt resistor on the circuit board. You have located some basic electronics tools and supplies, but the charred resistor is unidentifiable, so you do not know what to use for its replacement. There is a crude schematic on the inside of the cover of the radio, but it only gives the value of the current through the part of the circuit with the burnt resistor. You sketch the circuit with all the elements you can identify (see drawing).

(a) Determine the value of the damaged resistor.

(b) The next problem is that the resistors that you have found are all 47.0 Ω. The available space will only allow for six or fewer resistors. Find a configuration of six or fewer 47.0-Ω resistors that has an equivalent resistance within 10% of that calculated in part (a).

Transcribed Image Text:

2.0 V 8.0 2 wwF 4.0 0 3.0 V 2.0 Ω ww ww R= ??? 1/18 A (Burnt)