A 24.0 V battery is in series with a switch, a 0.40 H inductor, and a 16 resisto

Question

A 24.0 V battery is in series with a switch, a 0.40 H inductor, and a 16 resistor.

Part A

What's the time constant ?

Express your answer to two significant figures and include the appropriate units.

Part B

Find the potential differences across the inductor at t=.

Express your answer to two significant figures and include the appropriate units.

Part C

Find the potential differences across the resistor at t=.

Express your answer to two significant figures and include the appropriate units.

Part D

Find the potential differences across the inductor at t=2.

Express your answer to two significant figures and include the appropriate units.

Part E

Find the potential differences across the resistor at t=2.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

R = 15 ohms

L = 0.4 H

time constant = T = L/R = 0.4 / 15 = 0.0266 s = 26.6 ms

b) V = Vo * exp (-t/T)

At t = T

V = 25 * exp(-T/T) = 25 * exp(-1) = 9.19 V

Voltage across inductor = 9.19 V

c) Voltage across resistor = 25 - 9.19 = 15.81 V

d) V = Vo * exp (-t/T)

At t = 2T

V = 25 * exp(-2T/T) = 25 * exp(-2) = 3.38 V

Voltage across inductor = 3.38 V

e) Voltage across resistor = 25 - 3.38 = 21.62 V

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