The current in the circuit in the following figure is known to be -2000t i = B1e The capacitor has a value of 80 nF; the initial value of the current is 7.5 mA; and the initial voltage on the capacitor is -30 V.(Figure 1) cos1500t + B2e® -2000t *sin1500t, t > 0. R L Io + i Vo - Find the voltage across the 80 nF capacitor. Assume the reference polarity for the capacitor voltage is positive at the upper terminal. 15e-2000t cos(1500t) + 45e¬2000£ sin(1500t) V -15е 2000г cos(1500t) + 22.5e-2000 sin(1500t) V -15e-2000t cos(1500t) – 22.5e¬2000t sin(1500t) V -15e 2000t cos(1500t) – 45e-2000t sin(1500t) V O -30e-2000t cos(1500t) + 45e-2000t sin(1500t) V -30e-2000t cos(1500t) + 22.5e¬2000t sin(1500t) V O -30e-2000t cos(1500t) 22.5е 2000+ sin(1500t) V — 30е 2000 cos(1500t) – 45e¬2000ł sin(1500t) V O O O O O

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The current in the circuit in the following figure is known
to be
i = B1e
The capacitor has a value of 80 nF; the initial value of
the current is 7.5 mA; and the initial voltage on the
capacitor is -30 V.(Figure 1)
-2000t
cos1500t + B2e
-2000t
'sin1500t, t >0.
R
Io
+
-
Find the voltage across the 80 nF capacitor. Assume the reference polarity for the capacitor voltage is
positive at the upper terminal.
15e-2000t
cos(1500t) +45e-2000t
sin(1500t) V
O -15e-20004
cos(1500t) + 22.5e-2000t
sin(1500t)
V
O -15e-2000Ł
cos(1500t) – 22.5e¯2000t sin(1500t) V
O -15e-2000t
cos(1500t) – 45e-2000t
sin(1500t) V
O -30e
-2000t
cos(1500t) + 45e¬2000t sin(1500t) V
-30e-2000t
cos(1500t) + 22.5e-2000t sin(1500t) V
-30e-2000t
cos(1500t) – 22.5e-2000t
sin(1500t) V
O -30e-2000£
cos(1500t) – 45e-2000t
sin(1500t) V
Transcribed Image Text:The current in the circuit in the following figure is known to be i = B1e The capacitor has a value of 80 nF; the initial value of the current is 7.5 mA; and the initial voltage on the capacitor is -30 V.(Figure 1) -2000t cos1500t + B2e -2000t 'sin1500t, t >0. R Io + - Find the voltage across the 80 nF capacitor. Assume the reference polarity for the capacitor voltage is positive at the upper terminal. 15e-2000t cos(1500t) +45e-2000t sin(1500t) V O -15e-20004 cos(1500t) + 22.5e-2000t sin(1500t) V O -15e-2000Ł cos(1500t) – 22.5e¯2000t sin(1500t) V O -15e-2000t cos(1500t) – 45e-2000t sin(1500t) V O -30e -2000t cos(1500t) + 45e¬2000t sin(1500t) V -30e-2000t cos(1500t) + 22.5e-2000t sin(1500t) V -30e-2000t cos(1500t) – 22.5e-2000t sin(1500t) V O -30e-2000£ cos(1500t) – 45e-2000t sin(1500t) V
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