Amount of charge spherical conductor can hold in air

AI Thread Summary
The maximum charge a spherical conductor can hold in air is influenced by the breakdown voltage of air, which is approximately 3 million volts per meter. For a spherical conductor with a radius of 5.0 cm, the maximum charge can be calculated using the formula Q = 4πε₀rV, where V is the breakdown voltage. The air's role is crucial as it determines the voltage at which ionization occurs, leading to electrical discharge. Without a specified voltage, the calculation cannot be completed, but understanding air's breakdown properties is essential. Thus, the maximum charge depends on both the conductor's size and the electrical characteristics of the surrounding air.
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I'm a little thrown off by this because we there is no voltage value given...
And how does the air play into the problem? I just something to help me get started:

What is the maximum amount of charge that a spherical conductor of radius 5.0 cm can hold in air?
 
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