Att0theswitchisclosed r1 v r2 i2 bb l r3 i2t0vr1r2r3

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: h inductor immediately AFTER switch is closed IS THE SAME AS the current through inductor immediately BEFORE switch is closed Immediately before switch is closed: IL = 0 since no battery in loop R3 Calculation Calculation The switch in the circuit shown has been open for a long time. At t = 0, the switch is closed. R1 V R2 BB L R3 IL(t=0+) = 0 What is the magnitude of I2, the current in R2, immediately after the switch is closed? V V V I2 = (A) (B) (C) (D) I2 = I2 = R2 + R3 R1 + R2 + R3 R1 We know IL = 0 immediately after switch is closed Immediately after switch is closed, circuit looks V like: I2 = R1 I= VR2 R3 R2 + R3 I R2 V R1 + R2 + R3 R3 Calculation Calculation The switch in the circuit shown has been open for a long time. At t = 0, the switch is closed. R1 V R2 I2 BB L R3 I2(t=0+) = V/(R1+R2+R3) IL(t=0+) = 0 What is the magnitude of VL, the voltage across the inductor, immediately after the switch is closed? R +R RR 3 VL = VL = 0 VL = V 2 VL = V (A) (B) (C) (D) (E)V R ( R2 +3 R ) R1 1 2 3 Kirchhoff’s Voltage Law, VL­I2 R2 ­I2 R3 =0 VL = I2 (R2+R3) VL = V ( R2 + R3 ) R1 + R2 + R3 VL = V R2 + R3 R1 + R2 + R3 Calculation Calculation The switch in the circuit shown has been open for a long time. At t = 0, the switch is closed. What is dIL/dt, the time rate of change of the current through the inductor immediately after switch is closed R1 V R2 BB L R3 VL(t=0+) = V(R2+R3)/(R1+R2+R3) dI L V R2 + R3 dI L dI L V R + R3 = = (A) (B) (C) (D) 2 =0 dt L R1 dt L R1 + R2 + R3 dt The time rate of change of current through the inductor (dIL /dt) = VL /L dI L V R2 + R3 = dt L R1 + R2 + R3 dI L V = dt L Follow Up Follow Up The switch in the circuit shown has been closed fo r a lo ng tim e . Wh a t is I2, the current through R2 ? (Positive values indicate current flows to the right)...
View Full Document

This document was uploaded on 02/13/2014.

Ask a homework question - tutors are online