- #1
Bryon
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Homework Statement
In the above circuit, the EMF from the battery is 12 V and the resistor has a resistance is 6.6 Ω. The inductor consists of a long, thin cylindrical coil of wire with 30000 turns, a radius of 5 cm and a length of 61 cm.
Answer the following questions for a time 1.4 seconds after the battery has been connected.
(c) How much energy has been delivered by the battery up to this point?
Homework Equations
U = 0.5LI^2
∫Udt from 0 to 1.4s
The Attempt at a Solution
I found the inductance and the current for the 1st two parts of the problem:
(a) What is the inductance of the solenoid? 14.56171141 H
(b) What is the current through the battery? 0.8542201 A
I plugged in the numbers to find the energy: U =0.5*14.56171141*(0.8542201^2) = 10.62556402 J
Then I think that you would have to integrate over time from 0 to 1.4s which gave me a result of 7.4378948 J.
It did not like the answer. Any suggestions?