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In an electrical circuit containing a so...

In an electrical circuit containing a source of emf and a load resistance, the voltmeter is connected by mistake in series with the load across the source and ammeter is connected parallel to the load. Then which meter burns out

A

ammeter

B

voltmeter

C

both ammeter and voltmeter

D

neither ammeter nor voltmeter

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of which meter will burn out when a voltmeter is mistakenly connected in series with a load resistance and an ammeter is connected in parallel to the load, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding the Circuit Configuration**: - The circuit consists of a source of electromotive force (emf) and a load resistance. - The voltmeter is incorrectly connected in series with the load resistance. - The ammeter is connected in parallel to the load resistance. 2. **Identifying the Role of Each Meter**: - A voltmeter is designed to measure the voltage across two points and should be connected in parallel with the load. - An ammeter is designed to measure the current flowing through a circuit and should be connected in series with the load. 3. **Analyzing the Resistance of the Meters**: - The resistance of an ideal voltmeter is very high (approaching infinity), which means it does not allow significant current to flow through it. - The resistance of an ammeter is very low, designed to allow maximum current to flow through it without affecting the circuit. 4. **Current Flow in the Circuit**: - Since the voltmeter is in series, it will limit the current flowing through the circuit due to its high resistance. - The ammeter, being in parallel with the load, will create a path of low resistance for the current to flow. 5. **Determining Current Distribution**: - The current from the source will primarily flow through the ammeter because it has a much lower resistance compared to the voltmeter. - Since the voltmeter is in series and has a very high resistance, it will not allow significant current to flow through it. 6. **Conclusion on Meter Damage**: - Because the ammeter is in parallel with the load and has low resistance, it will carry the majority of the current. - However, since the voltmeter is in series with a high resistance, it will not allow current to flow through it, leading to an open circuit condition. - In this configuration, neither the ammeter nor the voltmeter will burn out because the current is effectively limited by the high resistance of the voltmeter. ### Final Answer: **Neither the ammeter nor the voltmeter will burn out.**
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