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6th Year OL · Physics
Charge, Atomic Models, X-rays and Semiconductors · Semiconductors and Domestic Safety

Domestic Electrical Safety

You plug in a metal-cased kettle in a kitchen in Galway. Inside, a live wire works loose and touches the metal. Nothing looks wrong, yet the kettle is now dangerous to touch. What stops it from harming you? By the end of this page you will know which devices act, and why a house needs more than one.

Mains plugs, fuses and the earth wire

Irish houses use a 230 V, 50 Hz supply and the three-pin Type G plug. Each wire has a job.

Wire Colour Pin Job
Live brown right (seen from the front of the plug, earth pin at the top) carries current to the appliance
Neutral blue left (seen from the front of the plug, earth pin at the top) returns current to the supply
Earth green and yellow top (longest) safety path to earth, not used in normal operation

The fuse is fitted on the live side of the plug. It is a thin wire that melts if the current is too large, so the circuit breaks. Common values are 3 A, 5 A and 13 A, and 13 A is the largest fuse fitted in a plug.

Choose the fuse just above the normal current, found from $I = P/V$. A fuse far too large would not blow until the wiring is already overheating.

The earth wire connects the metal casing of an appliance to earth. Normally it carries no current. If the live wire touches the casing, a large current flows through the earth wire, which blows the fuse and disconnects the appliance. Without it, the casing would sit at 230 V and you would become the path to earth.

A kettle with a loose live wire touching the metal casing, with the fault current flowing through the earth wire to earth and blowing the fuse. Metal casing Live (brown) Fuse Neutral (blue) Earth wire Fault: live touches casing
Practice★☆☆Not started
a) What is the purpose of the earth wire in a three-pin plug? b) What colours are the live, neutral and earth wires in an Irish plug? c) To which pin is the fuse fitted?
  1. a) What is the purpose of the earth wire in a three-pin plug?
  2. b) What colours are the live, neutral and earth wires in an Irish plug?
  3. c) To which pin is the fuse fitted?
Solve
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A metal-cased kettle has a live wire that comes loose and touches the casing. a) Explain the danger if there is no earth wire. b) Explain what happens if the casing is…

A metal-cased kettle has a live wire that comes loose and touches the casing.

  1. a) Explain the danger if there is no earth wire.
  2. b) Explain what happens if the casing is earthed.
Solve

Choosing a fuse and the fault current

When the live wire touches the earthed casing, the current returns through the earth wire, which has very low resistance. By $I = V/R$, the current is very large, far above 13 A. The fuse melts in a fraction of a second.

The same idea applies to an MCB (miniature circuit breaker) in the fuse board. It is a switch that trips automatically when the current is too high, and can be reset. A quick trip needs a large fault current, which needs a low earth fault loop resistance.

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A $2.3\ \text{kW}$ metal-cased electric heater is connected to the $230\ \text{V}$ mains in a house in Limerick. a) Calculate the normal current drawn. b) Select the…

A $2.3\ \text{kW}$ metal-cased electric heater is connected to the $230\ \text{V}$ mains in a house in Limerick.

  1. a) Calculate the normal current drawn.
  2. b) Select the most suitable fuse from $3\ \text{A}$, $5\ \text{A}$, $13\ \text{A}$ and explain your choice.
  3. c) If the live wire touches the earthed casing, explain why the fuse blows and how this protects the user.
Solve
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A $3.0\ \text{kW}$ electric shower runs from a $230\ \text{V}$ supply. The live wire has a resistance of $0.050\ \Omega$ and the earth fault loop resistance in the…

A $3.0\ \text{kW}$ electric shower runs from a $230\ \text{V}$ supply. The live wire has a resistance of $0.050\ \Omega$ and the earth fault loop resistance in the circuit is $0.80\ \Omega$.

  1. a) Calculate the normal operating current.
  2. b) Calculate the fault current if the live wire touches the earthed metal casing.
  3. c) A $16\ \text{A}$ MCB trips quickly when the current is about five times its rating. Will it trip? Justify.
  4. d) Comment on why low earth loop resistance is important.
Solve

The RCD: protecting people

A fuse needs a current of many amps. But a current of only about 30 mA through the body can be dangerous. A fuse or MCB will not react to it.

An RCD (residual current device) compares the current in the live wire with the current in the neutral wire. Normally they are equal. If some current leaks to earth, perhaps through a person, the neutral current is smaller. The difference is the leakage current.

Inside the RCD, live and neutral pass through a toroidal (ring-shaped) iron core. When the currents are equal, their magnetic effects cancel and the flux in the core is zero. A leakage leaves a net changing flux, which induces an emf in a sense coil wound on the core. That signal operates a switch which trips in about 30 ms. Household RCDs trip at a leakage of 30 mA.

An RCD with live and neutral wires passing through a ring-shaped core, a sense coil, and a leakage path through a person to earth. Live: I(live) Neutral: I(neutral) Toroidal core + sense coil Leakage through person Trips if I(live) − I(neutral) > 30 mA

Every RCD has a test button. It deliberately creates a small leakage so you can check that the device still trips. Mechanical parts and electronics can fail, so households should test it regularly.

The missing current flows to earth by another path, through the earth wire, or through a person.

Practice★☆☆Not started
a) What does RCD stand for? b) State what an RCD in a household fuse board detects. c) Explain why an RCD protects a person from electric shock.
  1. a) What does RCD stand for?
  2. b) State what an RCD in a household fuse board detects.
  3. c) Explain why an RCD protects a person from electric shock.
Solve
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A household RCD trips when the difference between live and neutral currents exceeds $30\ \text{mA}$. A faulty appliance draws $8.50\ \text{A}$ in the live wire, but only…

A household RCD trips when the difference between live and neutral currents exceeds $30\ \text{mA}$. A faulty appliance draws $8.50\ \text{A}$ in the live wire, but only $8.45\ \text{A}$ returns in the neutral wire.

  1. a) Calculate the leakage current.
  2. b) Will the RCD trip? Justify.
  3. c) Where does the missing current go?
Solve

Current through the body

Treat the body as a resistor. Dry skin has a high resistance, but wet skin can have a few thousand ohms or less.

The energy grows in proportion to time, so a hundredfold longer exposure gives a hundredfold more energy (about 105 J). This is why fast tripping is crucial.

Why a house needs both

Think of a washing machine with a metal case.

  • Earth wire + fuse or MCB: a live wire touching the casing sends a large current through the earth wire. The fuse blows and the casing is made safe.

  • Direct contact with live: if a person touches a bare live part, the current goes through the person. As in the example above (a person of resistance $1{,}500\ \Omega$ at 230 V), it may be only about 150 mA, too small for a 13 A fuse. The earth wire is not involved.

  • RCD: it detects the leakage, 30 mA or more, and cuts the supply in about 30 ms.

So the earth wire and fuse protect against fault currents in the appliance, and the RCD protects people. They cover different dangers, so we use both.

Practice★★☆Not started
A person with body resistance $2,000\ \Omega$ touches a live conductor at $230\ \text{V}$ while standing on a wet floor. a) Calculate the current through the body. b)…

A person with body resistance $2,000\ \Omega$ touches a live conductor at $230\ \text{V}$ while standing on a wet floor.

  1. a) Calculate the current through the body.
  2. b) Compare it with the $30\ \text{mA}$ RCD trip threshold.
  3. c) Explain why an RCD gives better protection to the person than a fuse rated at $13\ \text{A}$.
Solve
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Explain with reference to a fault in a washing machine why both an earth connection and an RCD are used together in a house, and not just one of them. a) Describe the…

Explain with reference to a fault in a washing machine why both an earth connection and an RCD are used together in a house, and not just one of them.

  1. a) Describe the fault path with an earth connection and a fuse only.
  2. b) Describe the situation where a person touches a live part and the earth wire gives no protection.
  3. c) Explain how the RCD operates by comparing live and neutral currents, mentioning the role of a toroidal core and a coil in the device.
  4. d) Explain why RCDs have a test button.
Solve
Practice★★★Not started
An electrician tests an RCD with a test current. The RCD must trip at $30\ \text{mA}$. A person of body resistance $1,500\ \Omega$ touches a live $230\ \text{V}$…

An electrician tests an RCD with a test current. The RCD must trip at $30\ \text{mA}$. A person of body resistance $1,500\ \Omega$ touches a live $230\ \text{V}$ conductor.

  1. a) Calculate the current through the person.
  2. b) The RCD trips in $30\ \text{ms}$. Calculate the charge passing through the person.
  3. c) Calculate the energy dissipated in the person's body in this time.
  4. d) Explain why a short time of exposure is crucial for safety.
Solve

Back to the kettle: with the casing earthed, the loose live wire sends a large current down the earth wire, the fuse blows and the casing is no longer live. The RCD adds protection if a person is ever part of the path.

Summary

  • Irish mains: 230 V, 50 Hz; Type G plug with live (brown), neutral (blue) and earth (green and yellow) wires.

  • The fuse (in the live wire) is chosen just above the normal current $I = P/V$; it melts if the current is too high.

  • The earth wire gives a low-resistance path to earth, so a live-to-casing fault gives a large current that blows the fuse or trips the MCB. Low earth loop resistance means faster tripping.

  • An RCD compares live and neutral currents using a toroidal core and sense coil; it trips at a leakage of 30 mA in about 30 ms. The test button checks it works.

  • The body behaves as a resistor: $I = V/R$, $W = I^2Rt$. Short exposure time is crucial.

  • Earth wire and fuse protect the appliance; the RCD protects people. A house uses both.

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