Learning Goal: To apply Problem-Solving Strategy 21.2 Inductors in circuits. Con

Question

Learning Goal: To apply Problem-Solving Strategy 21.2 Inductors in circuits. Consider the circuit in the diagram, containing two identical resistors R_A and R_B, of resistance R = 270, an ohm inductor of inductance L = 220 mH. and a voltage source with potential difference V = 6.00 V. (Figure 1) At some time t after the switch is closed, the current through point B is I_b = 12.0 mA. At this time, what is the rate of change deltain/deltat of the current through point B Now that you've set up the problem, choose appropriate equations and solve for your unknowns. Find the value of deltaI_b/deltat at time t. Express your answer in amperes per second to three significant figures. Think about whether your results make sense. This question will be shown after you complete previous question(s).

Explanation / Answer

Here, I(t) = V/R ( 1 - e-Rt/L )

=>    0.012 = 6/270 ( 1 - e-1227.27t)

=>      t = 0.6327 msec

=>     dI/dt   =   V/R ( R/L e-Rt/L )

=>    dI/dt   =   V/L ( e-Rt/L )

=>     dI/dt   =    6/0.22 ( e-0.77649)

=>   dI/dt   =    12.54 A/s            --------------------> at point B

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.