Insight would be appreciated thanks!! If the ratio of the energy stored in a cap

Question

Insight would be appreciated thanks!!

If the ratio of the energy stored in a capacitor compared to the total energy stored in an LC circuit is 0.5, calculate the ratio of the charge stored on the capacitor compared to the maximum charge stored on the capacitor in that circuit. 1/2 1/4 none of these 1/ 2 1/ 3 Two solenoids have the same cross-sectional area and length, but the first one has twice as many turns per unit length as the second one. The ratio of the inductance of the second to the first is which of the following? 1: 2 2 : 1 1 : 4 1 : 1 1: 1/2

Explanation / Answer

as eeergy U = Q^2/2C

if U1/U2   = 1/2

Q1/Q2)^ = 1/2

Q1/Q2 = 1/sqrt2

option 4

b. inductance of a solonoid is L = u0 N^2A/l

ie L is directly propoetionla to N^2

so L2/L1 = N2/N2)^2 = 1/2 )^2 = 1:4

so option 3

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