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Question

Working of safety fuses depends upon

1. magnetic effect of the current

2. chemical effect of the current

3. magnitude of the current

4. heating effect of the current

Select the correct answer using the code given below.

This question was previously asked in
CDS I 2018 Elementary Mathematics Previous Year Paper (04-Feb-2018)
The correct answer is

3 and 4 only

Understanding How Safety Fuses Work

A safety fuse is an important safety device used in electrical circuits. Its main job is to protect electrical appliances and wiring from damage due to overcurrents or short circuits. It does this by interrupting the flow of electricity when the current becomes too high.

Let's look at the different effects of electric current mentioned in the question and see which ones are relevant to how a safety fuse operates.

  • Magnetic effect of the current: An electric current creates a magnetic field around the wire. This effect is used in devices like electromagnets, motors, and relays. While current always produces a magnetic field, the primary mechanism by which a safety fuse works is not based on this magnetic effect.
  • Chemical effect of the current: When an electric current passes through certain liquids (electrolytes), it can cause chemical reactions. This effect is used in processes like electrolysis and in batteries during charging/discharging. This effect is not involved in the working of a standard safety fuse.
  • Magnitude of the current: The amount of electric charge flowing through a circuit per unit of time is called the magnitude of the current. This is crucial for a safety fuse because the heat generated in the fuse wire depends directly on the magnitude of the current. A higher current generates more heat.
  • Heating effect of the current: When electric current flows through a conductor, it encounters resistance, which causes the conductor to heat up. This is known as Joule heating and is described by Joule's Law of Heating: \(Q = I^2Rt\), where \(Q\) is the heat produced, \(I\) is the current, \(R\) is the resistance of the conductor, and \(t\) is the time for which the current flows. A safety fuse is designed with a wire made of a material with a low melting point and a specific resistance. When the current exceeds a certain limit, the heating effect becomes strong enough to melt the fuse wire.

The working principle of a safety fuse relies on the heating effect of the current. When an excessive current flows through the fuse wire, it heats up significantly due to its resistance. If this current persists, the temperature of the wire reaches its melting point, causing it to melt and break the circuit. This open circuit stops the flow of electricity, protecting the rest of the circuit and appliances from damage. Therefore, the magnitude of the current directly influences the amount of heat generated (\(I^2\) term in \(I^2Rt\)), making both the magnitude of the current and the heating effect of the current essential for its operation.

Based on this analysis, the working of safety fuses depends primarily upon the magnitude of the current and the heating effect of the current.

Let's review the options:

  • Option 1: 1, 2, 3 and 4 (Includes magnetic and chemical effects, which are not the primary working principles)
  • Option 2: 1, 2 and 3 only (Includes magnetic and chemical effects)
  • Option 3: 3 and 4 only (Includes magnitude of the current and heating effect of the current)
  • Option 4: 4 only (Excludes magnitude of the current, which is directly linked to the heating effect)

The safety fuse operates because a dangerous magnitude of the current causes sufficient heating effect of the current to melt the fuse wire.

Therefore, the correct factors are the magnitude of the current and the heating effect of the current.

Revision Table: Effects of Current and Safety Fuses

Effect of Current Description Relevance to Safety Fuse?
Magnetic Effect Current produces a magnetic field. No (not the primary working principle)
Chemical Effect Current causes chemical changes in electrolytes. No
Magnitude of Current The amount of current flowing. Yes (determines heat generated)
Heating Effect Current heats the conductor due to resistance. Yes (causes the fuse wire to melt)

Additional Information on Safety Fuses and Current

Safety fuses are rated by the maximum current they can carry continuously without melting. This rating is crucial for selecting the right fuse for a particular circuit or appliance. If the current exceeds this rating for a sufficient time, the fuse will blow. The material of the fuse wire is typically an alloy of lead and tin, chosen for its low melting point and specific resistance properties, which allow it to heat up and melt quickly under fault conditions. The speed at which a fuse blows depends on how much the current exceeds its rating; a much larger overcurrent will cause it to blow faster than a slightly overcurrent.

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