Will rate high for correct answer! (a) Rank the circuits according to the curren

Question

Will rate high for correct answer!

(a) Rank the circuits  according to the current amplitude, greatest first. (Use only the symbols > or =, for example  1=2>3.)

(b) Rank the circuits  according to the period, greatest first. (Use only the symbols > or =, for example 1=2>3.)

1 q = 2 cos 4t 2 q = 4 cos t 3 q = 3 cos 4t
Charges on the capacitors in three oscillating LC circuits vary as follows, where q is in coulombs and t is in seconds. Rank the circuits according to the current amplitude, greatest first. (Use only the symbols > or =, for example 1=2>3.) Rank the circuits according to the period, greatest first. (Use only the symbols > or =, for example 1=2>3.) q = 2 cos 4t q = 4 cos t q = 3 cos 4t

Explanation / Answer

i=dq/dt

order of amplitude of current is the same as the order of amplitude of q

a) ==> I2>I3>I1

b) w1=4, w2=1, w3=4

==> T1=2*pi/w1=2*pi/4

and T2=2*pi/w2=2*pi

and T3=2*pi/w3=2*pi/4

==> T2>T1=T3

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