What is the value of resistance of ideal ammeter and ideal voltmeter? Why are an ammeter and a voltmeter respectively connected in series and parallel in a circuit?
Ideal Ammeter: An ideal ammeter has zero resistance. It is connected in series with the circuit, as the current to be measured flows through the ammeter without affecting the circuit.
Ideal Voltmeter: An ideal voltmeter has infinite resistance. It is connected in parallel with the component across which the potential difference is to be measured. This ensures that no current is drawn by the voltmeter, and only the potential difference is measured.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $