A parallel-plate capacitor is used as a vibration sensor. The plates have an area of 100cm 2 , the dielectric is air, and the distance between the plates is a function of time given by d ( t ) = 1 + 0.01 sin ( 200 t ) m m A constant voltage of 200 V is applied to the sensor Determine the current through the sensor as a function of time by using the approximation 1 / ( 1 + x ) ≅ 1 − x for x < < 1 . (The argument of the sinusoid is in radians.)
A parallel-plate capacitor is used as a vibration sensor. The plates have an area of 100cm 2 , the dielectric is air, and the distance between the plates is a function of time given by d ( t ) = 1 + 0.01 sin ( 200 t ) m m A constant voltage of 200 V is applied to the sensor Determine the current through the sensor as a function of time by using the approximation 1 / ( 1 + x ) ≅ 1 − x for x < < 1 . (The argument of the sinusoid is in radians.)
Solution Summary: The author calculates the capacitance of a parallel-plate capacitor used as an vibration sensor. The current through the capacitor in terms of time is given by I=(-epsilon _0
A parallel-plate capacitor is used as a vibration sensor. The plates have an area of
100cm
2
, the dielectric is air, and the distance between the plates is a function of time given by
d
(
t
)
=
1
+
0.01
sin
(
200
t
)
m
m
A constant voltage of 200 V is applied to the sensor Determine the current through the sensor as a function of time by using the approximation
1
/
(
1
+
x
)
≅
1
−
x
for
x
<
<
1
. (The argument of the sinusoid is in radians.)
Calculate the voltage at 1.5¹ (milliseconds) for the following RC Circuit. Assume switch is closed and capacitor is in a charge
state.
t=0
LE
-10 V
oto
R1
1kQ
C1
1uF
Identify which measurement this oscilloscope time difference reading is useful for.
Oscilloscope-XSC1
Time
250.000 us
1.261 ms
Channel_A
169.064 V
168.513 V
-550. 584 mV
Channel_B
89. 282 V
95.005 V
5.722 V
Reverse
T2-T1
1.011 ms
Save
Ext. trigger
Timebase
Scale: 200 us/Div : Scale: 100 V/Div
X pos. (Div): 0
Channel A
Channel B
Scale: 100 V/Div
Y pos. (Div): 0
Trigger
Edge: F
Level: 0
A B Ext
Y pos. (Div): 0
V
Y/T Add B/A
A/B
AC
DC
AC
DC
Single Normal
O period
O none of the above
O phase shift
Capacitor has the ability to store a quantity of
a.
Dynamic Electricity
b.
Dielectric
c. Electric Flux
O d.
Static electricity
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