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Question

If voltage is measured across an AC mains open switch, the meter will read:

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

230 V

Understanding Voltage Across an Open AC Mains Switch

When you measure the voltage across an open switch in an AC mains circuit, you are essentially measuring the potential difference between the two terminals of the switch. Since the switch is open, the circuit path is broken, meaning no current flows through the switch or the connected load.

Why is the Voltage Not Zero?

A voltage meter measures the electrical potential difference between the two points where its probes are connected. In the case of an open switch:

  • One terminal of the switch is connected to the live side of the AC mains supply (e.g., the incoming wire).
  • The other terminal of the switch is connected to the wire leading towards the load (e.g., a light bulb or appliance).

Even though the circuit is broken at the switch, the voltage source (the AC mains) is still active. The live side of the open switch is at the full mains potential relative to the neutral side (which is usually connected to the other end of the load). The meter, placed across the open switch, is measuring the voltage between these two points which are directly connected to the source voltage.

Think of it like this: You are measuring the voltage difference across the gap in the circuit created by the open switch. This gap is subjected to the full potential difference provided by the AC mains supply.

Contrast with a Closed Switch

If the switch were closed, the circuit would be complete, and current would flow through the load. In this scenario, the voltage measured across a closed switch would ideally be 0 V (or very close to 0 V due to the switch's very low resistance). This is because both terminals of a closed switch are effectively at the same potential (ignoring voltage drop due to current and resistance), as they are part of the continuous, low-resistance path.

In summary, with an open switch, the meter sees the full potential difference of the AC mains supply because it's measuring across the interruption in the circuit, which is subjected to the source voltage.

Common AC Mains Voltages

AC mains voltage varies by region:

  • North America (USA, Canada): Typically 110 V - 120 V
  • Europe, Asia, Africa, Oceania (including regions like India, UK): Typically 220 V - 240 V

Given the options, 230 V is a common standard in many parts of the world. Therefore, measuring voltage across an open AC mains switch in a region with 230 V mains will show approximately 230 V.

Thus, if voltage is measured across an AC mains open switch, the meter will read the source voltage.

Switch State Voltage Measurement Across Switch
Open Full source voltage (e.g., 230 V)
Closed Approximately 0 V

Based on the options provided and common mains voltages, the meter will read 230 V.

Revision Table: Key Concepts in AC Circuits

Concept Description
Voltage (\(\text{V}\)) The electrical potential difference between two points in a circuit, driving current.
Current (\(\text{A}\)) The flow of electric charge through a conductor.
Resistance (\(\Omega\)) The opposition to the flow of electric current.
AC Mains Alternating Current electrical power supplied to buildings.
Open Circuit A circuit path that is broken, preventing current flow. Voltage can exist across the break.
Closed Circuit A complete circuit path, allowing current flow when a voltage source is present.

Additional Information: Measuring Voltage Safely

When measuring voltage in AC mains circuits, safety is paramount. Always use a meter rated for the expected voltage and ensure probes are in good condition. Connect the meter in parallel across the component or points where you want to measure the potential difference. In the case of a switch, place one probe on each terminal of the switch. Ensure the circuit is live when measuring mains voltage across an open switch, but exercise extreme caution due to the risk of electric shock.

Understanding how voltage meters work and the nature of open vs. closed circuits is crucial for safe and accurate electrical measurements.

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