Question

In: Physics

In the R-L circuit below, a resistor R (8.0 Ω) is connected in series to an...

In the R-L circuit below, a resistor R (8.0 Ω) is connected in series to an inductor L (24.0 mH) and a battery ε (12.0 V). When the circuit is closed, current grows with time.

(a) What is the time constant of the circuit?

(b) What is the current in the circuit at one time constant?

(c) What is the maximum magnetic energy in the circuit?

(d) At what time after closing the switch will the magnetic energy be 50% of the maximum magnetic energy?

Expert Solution

Part (a)

Time constant is given as :

Part (b)

Current at any time in rl circuit is given by :

Part(c)

Magnetic energy is given as :

Part(d)

Current when magnetic energy is become 50% of maximum is given by:

So time is calculated as:

By taking log both side

genius_generous answered 2 years ago

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