Answered

When comparing two circuits, you note that circuit one has twice the voltage and half the resistance of circuit two. This means that

Answers:

  1. both circuits will have the same current.

  2. both circuits will have alternating current.

  3. circuit two will have more current.

  4. circuit one will have more current.

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Verified Answer :

The best and most correct answer among the choices provided by your question is the fourth choice or number 4.

Circuit one will have more current when it has twice the voltage and half the resistance of circuit two.

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Answer: option 4: circuit one will have more current.

Explanation:

Ohm's law states that the current in a circuit is proportional to voltage.

\(I \propto V \\ \Rightarrow I=\frac{V}{R}\)

Let the current in the first circuit be I, voltage be V and resistance be R, the,

\(I_1=\frac{V_1}{R_1}\)

The voltage in the second circuit is

\(V_2=\frac{V_1}{2}\)

The resistance in the second circuit is:

\(R_2=2R_1\)

\(\Rightarrow I_2=\frac{V_2}{R_2}=\frac{V_1/2}{2R_1}=\frac{I_1}{4}\)

Hence, circuit one has 4 times more current than circuit two.

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