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A battery of electro motive force E is c...

A battery of electro motive force E is connected in series with a resistance R and a voltmeter. An ammeter is connected in parallel with the battery.

A

only voltmeter is likely to be damaged

B

only ammeter is likely to be damaged

C

neither the ammeter nor the voltmeter will be damaged

D

both ammeter and voltmeter are likely to be damaged.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the circuit configuration described in the question. ### Step-by-Step Solution: 1. **Understand the Circuit Configuration**: - We have a battery with an electromotive force (EMF) \( E \). - The battery is connected in series with a resistor \( R \). - A voltmeter is connected across the resistor to measure the voltage drop across it. - An ammeter is connected in parallel with the battery. 2. **Analyze the Ammeter in Parallel**: - An ammeter is designed to measure current and ideally has very low resistance. - When connected in parallel with the battery, it creates a short circuit across the battery terminals. - This means that a large amount of current will flow through the ammeter because it offers very little resistance compared to the rest of the circuit. 3. **Effect on the Ammeter**: - Since the ammeter is not designed to handle high currents (especially in a short-circuit scenario), it is likely to be damaged due to excessive current flowing through it. 4. **Analyze the Voltmeter**: - The voltmeter is connected in series with the resistor \( R \) and is designed to measure the voltage across it. - It is not directly affected by the high current flowing through the ammeter since it is in a different part of the circuit. - However, if the ammeter fails and creates a short circuit, the voltmeter may also be at risk depending on its specifications. 5. **Conclusion**: - The ammeter is likely to be damaged due to the high current flowing through it when connected in parallel with the battery. - The voltmeter is less likely to be damaged in this configuration, but it could be at risk if the circuit conditions change drastically. ### Final Answer: - The correct option is that **only the ammeter is likely to be damaged**.
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