For a given circuit, L=0.500 H, R=10.0 2, C = 250 µF, and E = 100 sin 100xt. Find the equation relating the charge and time.

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For a given circuit, L=0.500 H, R= 10.0 2 C= 250 µF, and E = 100 sin 100xt. Find the equation relating the charge and time.
Choose the correct answer below.
O A.
- 10t
( sin 10t + C2 cos 10t) -2.02 x10 sin 100xt -1.28x 10 cos 100xt
-3
q= e
O B.
- 10t
(C sin 88.9t + c, cos 88.9t) - 2.02 x10 sin 100xt - 1.28 x 10 cos 100nt
-3
q= e
C.
q= e - 10t
sin 100t + c, cos 1001) - 1.52 x 10 sin 88.9xt-2.19x 10 cos 88.9xt
OD.
-10t
(C, sin 88.9t + c, cos 88.9t) - 2 19x10 sin 100nt-1.52 x 10 cos 100rt
3
q= e
Transcribed Image Text:For a given circuit, L=0.500 H, R= 10.0 2 C= 250 µF, and E = 100 sin 100xt. Find the equation relating the charge and time. Choose the correct answer below. O A. - 10t ( sin 10t + C2 cos 10t) -2.02 x10 sin 100xt -1.28x 10 cos 100xt -3 q= e O B. - 10t (C sin 88.9t + c, cos 88.9t) - 2.02 x10 sin 100xt - 1.28 x 10 cos 100nt -3 q= e C. q= e - 10t sin 100t + c, cos 1001) - 1.52 x 10 sin 88.9xt-2.19x 10 cos 88.9xt OD. -10t (C, sin 88.9t + c, cos 88.9t) - 2 19x10 sin 100nt-1.52 x 10 cos 100rt 3 q= e
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