An ideal ammeter and an ideal voltmeter have resistances of ………… \(\Omega\) and ……
Step 1: Understanding the Resistance of an Ideal Ammeter
- An ammeter measures current and is connected in series with a circuit.
- For an ideal ammeter:
- It should not affect the current.
- It must have zero resistance (\( 0 \, \Omega \)) so that it does not cause a voltage drop.
Step 2: Understanding the Resistance of an Ideal Voltmeter
- A voltmeter measures voltage and is connected in parallel with a circuit.
- For an ideal voltmeter:
- It should not draw any current from the circuit.
- It must have infinite resistance (\( \infty \, \Omega \)) so that it does not disturb the circuit. Thus, the resistances of an ideal ammeter and voltmeter are \( 0 \, \Omega \) and \( \infty \, \Omega \) respectively.
Given below are two statements:
Given below are two statements:
In light of the above statements, choose the correct answer from the options given below:
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]