Question

Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air. (a) What is the maximum charge we can put on these plates before a spark will fly? (b) What energy is released by the spark when it does fly?

          Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air.
(a) What is the maximum charge we can put on these plates before a spark will fly?
(b) What energy is released by the spark when it does fly?
        
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Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air.
(a) What is the maximum charge we can put on these plates before a spark will fly?
(b) What energy is released by the spark when it does fly?

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Consider a capacitor whose plates are squares 10 cm on a side separated by a 1.0-mm gap filled with air: (a) What is the maximum charge we can put on these plates before a spark will fly? (b) What energy is released by the spark when it does fly?
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Transcript

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00:01 All right, so let's say the breakdown electric field strength for air is about three times 10 to the 8 volts per meter.
00:13 So let's say we have capacitors that have a gap of one millimeter, and they have, they're square capacitors, so they have a length of 0 .1 meters, and hence an area of 0 .01 square meters.
00:29 Then the charge or the capacitance of this capacitor as we know is epsilon not a over d so it's 8 .85 times 10 to the negative 12 ferrads per meter times 0 .01 meters basically divided by 0 .001 meters right and so this should be a factor of 10 and so this is a factor of 10 and so this is 0 .85 times 10 to the negative 11th ferrets.
01:05 That's our capacitance.
01:06 And so the electric field strength here is going to be the voltage on the capacitors divided by the distance between them.
01:16 And the voltage here is going to be q over c...
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