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In a parallel circuit, if one resistor fails, what happens to the total current?

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Question: In a parallel circuit, if one resistor fails, what happens to the total current?

Options:

  1. It increases.
  2. It decreases.
  3. It remains the same.
  4. It becomes zero.

Correct Answer: It decreases.

Solution:

In a parallel circuit, if one resistor fails, the total current decreases because the total resistance increases.

In a parallel circuit, if one resistor fails, what happens to the total current?

Practice Questions

Q1
In a parallel circuit, if one resistor fails, what happens to the total current?
  1. It increases.
  2. It decreases.
  3. It remains the same.
  4. It becomes zero.

Questions & Step-by-Step Solutions

In a parallel circuit, if one resistor fails, what happens to the total current?
Correct Answer: Total current decreases
  • Step 1: Understand what a parallel circuit is. In a parallel circuit, there are multiple paths for current to flow.
  • Step 2: Know that each resistor in a parallel circuit provides a separate path for current.
  • Step 3: If one resistor fails (like it breaks or is removed), that path for current is lost.
  • Step 4: With one path gone, the total resistance of the circuit increases because there are fewer paths for the current to flow through.
  • Step 5: When the total resistance increases, the total current flowing through the circuit decreases according to Ohm's Law (I = V/R, where I is current, V is voltage, and R is resistance).
  • Step 6: Therefore, when one resistor fails in a parallel circuit, the total current decreases.
  • Parallel Circuit Behavior – In a parallel circuit, the total current is the sum of the currents through each parallel branch. If one resistor fails (opens), the total resistance increases, but the total current may not necessarily decrease depending on the configuration of the remaining resistors.
  • Ohm's Law – Understanding the relationship between voltage, current, and resistance is crucial in analyzing circuit behavior.
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