Monday Homework Problem 10.3 I estimate that the Gauss gun (a solenoid) is wound

Question

Monday Homework Problem 10.3 I estimate that the Gauss gun (a solenoid) is wound with 500 turns over a distance of 15cm with an average radius of 1.5cm. The peak current is about 300A. Calculate the energy stored in the Gauss' gun at peak current. Use the infinite solenoid approximation. Select One of the Following: (a) 70J (b) 0.01J (c) 200J (d) 6000.J (e) 0.3J Monday Homework Problem 10.4 An inductor is placed in series with a device so as to smooth any current spikes. The inductor has inductance 0.03H. If the current flowing into the inductor is Io sin(wt) whereo 0.25A and = 377s-1, what is the peak emf across the inductor? Select One of the Following: (a)-2 x 10-6V (b) -7 x 10-3v (c) -0.8v (d)-3V (e) -20V

Explanation / Answer

10.3

Energy stored in inductor is given by:

U = 0.5*L*i^2

L = self inductance of solenoid = u0*n^2*A*d

A*d = Volume of solenoid

Now

U = 0.5*u0*n^2*A*d*i^2

Using given values:

n = 500

A = pi*0.015^2

d = 15 cm = 0.15 m

i = 300 Amp

So,

U = 4*pi*10^-7*500^2*pi*0.015^2*0.15*300

U = 0.00999 J = 0.01 J

Correct option is B.

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