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What is the power, in terms of Po, dissipated by this circuit?

A single resistor is wired to a battery as shown in the diagram below. Define the total power dissipated by this circuit as Po.

Figure 1:

image

Now, a second identical resistor is wired in series with the first resistor as shown in the second diagram to the left.

Figure 2:

image

What is the power, in terms of Po, dissipated by this circuit?

Express your answer in terms of Po.

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Typo in your first figure link.

Figure 1 P_o_1 = V^2/R

Figure 2 P_o_2 = V^2/[2R]

So P_o_1 = 2 * P_o_2

Essentially, resistance has doubled and the voltage has stayed the same, so current and power will be halved.

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