2. -110 points UCFColPhysEML1 10 PRE.002. My Notes A 280-V battery, an inductor,

Question

2. -110 points UCFColPhysEML1 10 PRE.002. My Notes A 280-V battery, an inductor, and a resistor are connected in series as shown in the diagram below. A two-way switch makes it possible to include or exclude the battery. The switch that had been in position 1 for a long time is suddenly moved to position 2. (Enter your answers to at least two decimal places.) (a) What is the voltage across the resistor at the end of four time constants (Assume the potential difference across the resistor is positive.) b) At this time, what is the voltage across the inductor? Tutorial Additional Materials u Inductance, Resonance of LCR Circuit

Explanation / Answer

a) Imax = Vmax/R

at time t = 4*T

I = Imax*e^(-t/T)

= (Vmax/R)*e^(-4*T/T)

= (Vmax/R)/e^4

potentail diffrence across resistor, V = I*R

= (Vmax/R)/e^4 *R

= Vmax/e^4

= 280/e^4

= 5.13 volts

b) and voltage across conductor.

now the given circuit decaying circuit. Volatge across infuctor is equal to the negative of voltage across resistor.

VL = - 5.13 volts

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