Use the fourth-order Runge–Kutta subroutine with h = 0.25 to approximate the solution to the initial value problem , at x = 1. Compare this approximation with the one obtained in Problem 5 using the Taylor method of order 4.
Since and x = 0, y = 1, and h = 0.25
Hence the solution is
The power generated or dissipated by a circuit element equals the voltage across the element times the current through the element. Show that the power dissipated by a resistor equal l2R, the power associated with an inductor equals the derivative of and the power associated with a capacitor equals the derivative of .
The pathway for a binary electrical signal between gates in an integrated circuit can be modeled as an RC circuit, as in Figure 3.13(b); the voltage source models the transmitting gate, and the capacitor models the receiving gate. Typically, the resistance is and the capacitance is very small, say, (1 picofarad, pF). If the capacitor is initially uncharged and the transmitting gate changes instantaneously from 0 to 5 V, how long will it take for the voltage at the receiving gate to reach (say) ? (This is the time it takes to transmit a logical “1.”)
94% of StudySmarter users get better grades.Sign up for free