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Question

At the time of short-circuit, the current in the circuit:

This question was previously asked in
CDS I 2022 English Previous Year Paper (10-April-2022)
The correct answer is

increases heavily.

Understanding Current During a Short Circuit

Let's break down what happens during a short circuit and how it affects the current flowing through the electrical circuit. A short circuit is essentially an abnormal connection between two points of different potential (voltage) in a circuit, where the resistance between these points is very low or near zero. This low resistance allows a very large current to flow.

Applying Ohm's Law to Short Circuits

Ohm's Law is a fundamental principle in electrical circuits. It states that the voltage (V) across a resistor is directly proportional to the current (I) flowing through it, provided the temperature and other physical conditions remain constant. The relationship is given by the formula:

\(V = I \times R\)

Where:

  • \(V\) is the voltage (measured in Volts, V)
  • \(I\) is the current (measured in Amperes, A)
  • \(R\) is the resistance (measured in Ohms, \(\Omega\))

We can rearrange Ohm's Law to solve for current:

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

This formula tells us that for a constant voltage source (like a battery or wall outlet), the current flowing through a circuit is inversely proportional to the resistance. If resistance increases, current decreases. If resistance decreases, current increases.

Analyzing Resistance in a Short Circuit

During a typical operation of an electrical device, there is a designed resistance in the circuit that limits the current flow to a safe and functional level. When a short circuit occurs, this resistance is bypassed or significantly reduced. The resistance becomes very, very low – ideally, it could be close to zero ohms, although in reality, there is always some small resistance.

Impact on Current Flow

Consider the formula \(I = \frac{V}{R}\). In a short circuit:

  • The voltage \(V\) is typically the constant voltage supplied by the source.
  • The resistance \(R\) becomes extremely small (close to zero).

If the resistance \(R\) is very small, dividing the constant voltage \(V\) by a very small number results in a very large value for the current \(I\).

For example, if you have a 12V battery and a normal circuit has a resistance of 10 \(\Omega\), the current is \(I = \frac{12V}{10\Omega} = 1.2A\). If a short circuit reduces the resistance to just 0.1 \(\Omega\), the current becomes \(I = \frac{12V}{0.1\Omega} = 120A\). This is a huge increase in current.

Therefore, at the time of a short circuit, the current in the circuit increases heavily.

Examining the Options

Let's look at the given options based on our understanding:

  • reduces substantially: This is incorrect. A reduction in resistance leads to an increase in current, not a reduction.
  • does not change: This is incorrect. The significant change in resistance during a short circuit directly causes a significant change in current.
  • increases heavily: This is correct. The drastic drop in resistance during a short circuit causes the current to surge to very high levels.
  • keeps on fluctuating: While the conditions might not be perfectly stable during a short circuit event, the primary and immediate effect is a massive increase in current, not just general fluctuation around the normal level. The current rises sharply.

Based on Ohm's Law and the nature of a short circuit (very low resistance), the current increases heavily.

Circuit Condition Resistance (R) Current (I = V/R)
Normal Operation High (e.g., device resistance) Normal level
Short Circuit Very Low (close to 0) Very High (increases heavily)

Revision Table: Key Concepts

Term Definition/Concept
Short Circuit An abnormal low-resistance connection in a circuit.
Ohm's Law \(V = I \times R\), relating voltage, current, and resistance.
Resistance (R) Opposition to current flow. Lower resistance means more current for the same voltage.
Current (I) Flow of electric charge.

Additional Information on Short Circuits

Short circuits are dangerous because the extremely high current can generate significant heat, potentially causing fires, damaging equipment, or leading to electric shock hazards. Electrical systems are typically protected by fuses or circuit breakers, which are designed to detect this surge in current and quickly interrupt the circuit, stopping the dangerous flow of electricity and preventing damage.

Understanding the relationship between voltage, current, and resistance, as described by Ohm's Law, is crucial for analyzing circuit behavior, especially in fault conditions like short circuits.

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Important Questions from Resistance and Resistivity

  1. Which of the following metals has the lowest electrical resistivity?

  2. When electric current is passed through a wire, the amount of heat produced in a wire depends upon _______.

    I. Length

    II. Thickness

  3. A uniform wire of resistance 9Ω is bent in the form of an equilateral triangle. Find the effective resistance across a side of the triangle.

  4. The value of carbon resistance is 54 × 103 Ω. The percentage tolerance is 5%. What is the colour code sequence of carbon resistance?

  5. Which of the following relations are wrong?

    I. The specific conductance is given by the relation \(k = \frac{1}{R}\left( {l/A} \right)\)

    II. The equivalent conducting is given by the relation \(\lambda = \frac{{100\;K}}{C}\)

    III. The specific resistance is given by the relation \(\rho = \frac{{Rl}}{A}\)

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