capacitor connected in series

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#1 21661096 05 Feb 2012 17:58

Jimmy Rowe Jimmy Rowe

Anonymous

Post #1
21661096 05 Feb 2012 17:58

what is 10 micro farads + 15 nano farads + 100 pico farads plz help me
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#2 21661097 05 Feb 2012 18:50

Steve Lawson Steve Lawson

Anonymous

Post #2
21661097 05 Feb 2012 18:50

99 picofarad.

1/CT = 1/C1 + 1/C2 + 1/C3
1/CT = 1/10uF + 1/15nF + 1/100pF
1/CT = .0101
CT = 1/.0101 = 99pF

And, technically, its 100pF because there are, really, only two digits of precision. So, 1/0.01 = 100pF. And that is assuming these capacitors have a tolerance of 1% or less.

Another way of doing it:

CT = C1*C2*C3/(C1+C2+C3)

BTW: The final value (CT) is ALWAYS smaller than the smallest capacitor value.
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#3 21661098 05 Feb 2012 19:39

Ahmed Hussein Ahmed Hussein

Anonymous

Post #3
21661098 05 Feb 2012 19:39

i want to say that the last formula is only valid for 2 caps only

the first one is the general one
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#4 21661099 05 Feb 2012 21:38

RAYMOND JACKSON RAYMOND JACKSON

Anonymous

Post #4
21661099 05 Feb 2012 21:38

capacitors in parallel: Ct = C1 + C2 + C3

capacitors in series: Ct = 1/C1 + 1/C2 + 1/C3
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#5 21661100 06 Feb 2012 03:09

Steve Lawson Steve Lawson

Anonymous

Post #5
21661100 06 Feb 2012 03:09

Ahmed: you're right! Oops. It's actually:

CT = C1*C2*C3/(C2*C3 + C1*C3 + C1*C2)

Not that that is any better than:

1/CT = 1/C1 + 1/C2 + 1/C3
#6 21661101 06 Feb 2012 03:11

Steve Lawson Steve Lawson

Anonymous

Post #6
21661101 06 Feb 2012 03:11

Raymond: it's:

capacitors in series: 1/Ct = 1/C1 + 1/C2 + 1/C3
#7 21661102 07 Feb 2012 00:17

RAYMOND JACKSON RAYMOND JACKSON

Anonymous

Post #7
21661102 07 Feb 2012 00:17

correction: series should be 1/Ct
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