You have a device that needs a voltage reference of 3.0 V, but you have only a 9.0 V battery. Fortunately, you also have several 10 k!1 resistors. Show how you can use the resistors and the battery to make a circuit that provides a potential difference of3.0 V.

Given Information:

Input voltage = Vin = 9 V

Resistors = R = 10 kΩ each

Output voltage = Vout = 3 V

Required Information:

How many 10 kΩ resistors would it take = ?

It would take three 10 kΩ resistors

Explanation:

We can make a voltage divider circuit that contains 3 resistors in series each having a value of 10 kΩ that will provide the desired voltage of 3 V.

Vout = Vin(R/Req)

If we choose 3 resistors of 10 kΩ each

Req = 10 + 10 + 10 = 30 kΩ

Vout = 9(10/30)

Vout = 9(1/3)

Vout = 3 V

Therefore, we would need three 10 kΩ resistors to get the desired voltage of 3 V.

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d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day