You have five straight wires of length l=2 in the xy plane, four of which make a

Question

You have five straight wires of length l=2 in the xy plane, four of which make a square centered at the origin with sides parallel to the axes of the coordinate system. The fifth wire bisects the square along the y axis. You now insert three inductors and two capacitors to make a special LC circuit. The inductors are located along the x axis at x=-1,0,1 and each has inductance L. The capacitors are located along the line y=1 at x values of ±1/2 and each has capacitance C. (a) If the currents in the left and right side inductors are in the j-hat and -j-hat directions, respectively, and both equal i(t), show that the angular frequency of the oscillating current is given by

(b) If the direction of the current in the right side inductor is reversed, show that the angular frequency of the oscillating current is given by

Explanation / Answer

Use energy considerations for energy in a capacitor and energy in an inductor. And take the derivative. Access your gmail account to see the document first. If you have any problems, send me an email at castellanos@hotmail.com https://mail.google.com/mail/?ui=2&ik=8553851334&view=att&th=13411b1dceb379b5&attid=0.1&disp=inline&zw

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