Answer 3 of 4, 20 poinnts each. No extra points for doing all 4. Be sure to indi

Question

Answer 3 of 4, 20 poinnts each. No extra points for doing all 4. Be sure to indicate which 3 problems to count. An oscillating LC circuit consists of a 1.0 nF capacitor and a 3.0 mH coil has a maximum voltage of 3.0 V. What are (a) the maximum charge on the capacitor,(b) the maximum current through the circuit. and (c) the maximum energy stored in the magnetic field of the coil? Light of wavelength 633 nm is incident on a narrow slit. The angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.20^degree. What is the width of the slit?

Explanation / Answer

a)

maximum charge = Q = c*V = 1*10^-9*3 = 3 nC

b)

Imax = V/(sqrt(L/c))

Imax = 3/sqrt(0.003/10^-9) = 0.00173 A

(c)

U = 0.5*L*Imax^2 = 0.5*0.003*(0.00173)2

U = 5.19*10^-6 J

++++++++++++++++++++++++

In a diffraction

2*a*sintheta = lambda

2*a*sin1.2 = 633*10^-9

a = 0.015 mm <<<<------answer

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