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In a parallel AC circuit, how does the total current relate to the individual br

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Question: In a parallel AC circuit, how does the total current relate to the individual branch currents according to KCL?

Options:

  1. Total current is the sum of branch currents
  2. Total current is the average of branch currents
  3. Total current is the maximum branch current
  4. Total current is the minimum branch current

Correct Answer: Total current is the sum of branch currents

Solution:

In a parallel AC circuit, the total current is the sum of the currents through each branch, as stated by Kirchhoff\'s Current Law (KCL).

In a parallel AC circuit, how does the total current relate to the individual br

Practice Questions

Q1
In a parallel AC circuit, how does the total current relate to the individual branch currents according to KCL?
  1. Total current is the sum of branch currents
  2. Total current is the average of branch currents
  3. Total current is the maximum branch current
  4. Total current is the minimum branch current

Questions & Step-by-Step Solutions

In a parallel AC circuit, how does the total current relate to the individual branch currents according to KCL?
Correct Answer: Total current is the sum of individual branch currents.
  • Step 1: Understand that a parallel AC circuit has multiple branches where current can flow.
  • Step 2: Know that each branch has its own current flowing through it, which we can call I1, I2, I3, etc.
  • Step 3: Remember Kirchhoff's Current Law (KCL), which states that the total current entering a junction must equal the total current leaving that junction.
  • Step 4: In a parallel circuit, the total current (Itotal) is the sum of the currents in all the branches: Itotal = I1 + I2 + I3 + ...
  • Step 5: Therefore, to find the total current in a parallel AC circuit, simply add up the currents from each branch.
  • Kirchhoff's Current Law (KCL) – KCL states that the total current entering a junction must equal the total current leaving the junction, which applies to each branch in a parallel circuit.
  • Parallel AC Circuit – In a parallel AC circuit, multiple paths exist for current to flow, and the total current is the sum of the currents through each branch.
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