How much of this energy is stored in the magnetic field of the inductor?

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SUMMARY

The discussion focuses on calculating the energy delivered by a battery in an L/R circuit with an EMF of 14.0 V, resistance of 5.40 ohms, and inductance of 5.00 H. The user initially struggled with the energy stored in the magnetic field of the inductor, using the formula Ub = 0.5L*i^2 incorrectly. The correct approach involves determining the time constant and using the universal time constant formula to find the change in current over time. Ultimately, the user successfully completed their studies in electricity and magnetism.

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  • Understanding of L/R circuits and their time constants
  • Familiarity with the formula for energy stored in an inductor (Ub = 0.5L*i^2)
  • Basic knowledge of Ohm's Law (V = iR)
  • Ability to apply universal time constant formulas in circuit analysis
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  • Learn how to calculate the time constant for L/R circuits
  • Study the universal time constant formula for reactive components
  • Explore energy transfer in inductors and capacitors
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Students and professionals in electrical engineering, particularly those studying circuit analysis and energy storage in inductors.

mr_coffee
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For the circuit of Figure 30-19, assume that EMF= 14.0 V, R = 5.40 , and L = 5.00 H. The battery is connected at time t = 0.
Picture:
http://www.webassign.net/hrw/hrw7_30-19.gif
Okay i know there is a simple formula to find the:
(a) How much energy is delivered by the battery during the first 2.00 s?
J

but i don't know where it is, anyone know it?

Also I tried part (b) and got it wrong for some reason:
How much of this energy is stored in the magnetic field of the inductor?
wrong check mark J

I used:
V = iR.
Ub = .5L*i^2;
i = 14/5.40 = 2.59 Amps
Ub = .5*5.00*2.59^2 = 16.77 but they didn't like that at all, any ideas?
thanks.
 
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When you analyze a L/R circuit, follow these simple rules:

To analyze an RC or L/R circuit, follow these steps:
(1): Determine the time constant for the circuit (RC or L/R).
(2): Identify the quantity to be calculated (whatever quantity whose change is directly opposed by the reactive component. For capacitors this is voltage; for inductors this is current).
(3): Determine the starting and final values for that quantity.
(4): Plug all these values (Final, Start, time, time constant) into the universal time constant formula and solve for change in quantity.
(5): If the starting value was zero, then the actual value at the specified time is equal to the calculated change given by the universal formula. If not, add the change to the starting value to find out where you're at.


You can refer to here for more info.
http://www.ibiblio.org/obp/electricCircuits/DC/DC_16.html
 
Last edited by a moderator:
Ahhh thanks for the help, I'm all done now with electricity and magnetsim, w00t! I got an A in the class, thanks everyone! :biggrin:
 

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