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To keep cool in the summer months, you decide to design and build your own hand-held fan. The fan's electrical circuit will run off of 4 AA batteries (each with a voltage of 1.5 V) and must not exceed 0.050 A of current. You visit your local Radio Shack and find that resistors are sold in five varieties: 5 Ohm, 10 Ohm, 12 Ohm, 20 Ohm, 50 Ohm. Each resistor costs 8 cents. What set of resistors should you buy to minimize cost?

Respuesta :

hamzaahmeds

Answer:

Two 50 Ohm Resistors, One 20 Ohm Resistor.

Explanation:

For the given current and voltage specifications, the resistance can be calculated by Ohm's Law:

[tex]V = IR\\\\R = \frac{V}{I}[/tex]

where,

R = Resistance = ?

V = Voltage = (1.5 V)(4) = 6 V

I = 0.05 A

Therefore,

[tex]R = \frac{6\ V}{0.05\ A}\\\\R = 120\ \Omega\\[/tex]

Now, to minimize the cost we will buy the following set of resistors:

Two 50 Ohm Resistors, One 20 Ohm Resistor.

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