To apply problem solving strategy 21.2 Inductors in circuits. Consider the circu

Question

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= 220 ohm, an inductor of inductance L=290 mH, and a voltage source with potential difference V=10.0 V(Figure) At some time t after the switch is closed, the current through point B is I_B=13.0 mA. At this time, what is the rate of change delta I_b/deltat of the current through point B? Find the value of I_b/t at time t. Express your answer in amperes per second to three significant figures.

Explanation / Answer

Voltage across RB is

VB=IBRB =(13*10-3)*220

VB =2.86 Volts

Voltage across inductor

VL=V-VB =10-2.86

VL=7.14 Volts

since VL=L(dIB/dt)

7.14 =(290*10-3)*(dIB/dt)

=>(dIB/dt) =24.62 A/s

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