Question

Which of the following statements are true? 1\. An ideal ammeter should have infinite resistance. 2\. An ideal ammeter should have zero resistance. 3\. An ideal voltmeter should have infinite resistance. 4\. An ideal voltmeter should have zero resistance. a) 1 and 3 b) 2 and 4 c) 2 and 3 d) 1 and 4

Short answer

a) An ideal ammeter should have infinite resistance b) An ideal ammeter should have zero resistance c) An ideal voltmeter should have infinite resistance d) An ideal voltmeter should have zero resistance Answer: b) An ideal ammeter should have zero resistance and c) An ideal voltmeter should have infinite resistance.

Step-by-step solution

Statement 1: An ideal ammeter should have infinite resistance

An ideal ammeter should not disrupt the flow of current in the circuit when connected in series. If an ammeter has infinite resistance, it means no current flows through it, which does not allow us to measure the current. Therefore, this statement is false.

Statement 2: An ideal ammeter should have zero resistance

An ideal ammeter should have zero resistance. This ensures that the current flows through the ammeter without any added resistance, allowing us to measure the true value of the current in the circuit when connected in series. This statement is true.

Statement 3: An ideal voltmeter should have infinite resistance

An ideal voltmeter should be connected in parallel with the circuit elements and should have infinite resistance. This is to ensure that the voltmeter doesn't draw any current from the circuit, allowing it to measure the true potential difference (voltage) across the circuit element without affecting the circuit. This statement is true.

Statement 4: An ideal voltmeter should have zero resistance

If an ideal voltmeter has zero resistance, it would draw a significant amount of current from the circuit when connected in parallel, which would affect the voltage measurement. Therefore, this statement is false. Based on the above analysis, the correct answer is: c) Statement 2 (An ideal ammeter should have zero resistance) and Statement 3 (An ideal voltmeter should have infinite resistance) are true.