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In a circuit with two identical components connected in parallel, the current which flows through its different branches will be __________. Which of the following completes the sentence?

Question

In a circuit with two identical components connected in parallel, the current which flows through its different branches will be __________. Which of the following completes the sentence?

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Solution

The sentence can be completed as follows: "In a circuit with two identical components connected in parallel, the current which flows through its different branches will be the same."

Here's why:

  1. In a parallel circuit, the voltage across each component is the same. This is a fundamental property of parallel circuits.

  2. If the components are identical, they have the same resistance.

  3. According to Ohm's law, the current (I) through a component is the voltage (V) across it divided by the resistance (R) of the component. Mathematically, this is expressed as I = V/R.

  4. Since the voltage across each component is the same (due to the parallel connection) and the resistance of each component is the same (because they are identical), the current through each component must also be the same.

So, in a circuit with two identical components connected in parallel, the current which flows through its different branches will be the same.

This problem has been solved

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