On a humid day, an electric field of2.00×10 4 N/C is enough to produce sparksabo

Question

On a humid day, an electric field of2.00×104 N/C is enough to produce sparksabout an inch long. Suppose that in your physics class, a van deGraaff generator (see the Figure 22.27 in the textbook) with asphere radius of 16.0cm is producing sparks 8 inches long. Part A: Use Gauss's law to calculate the amount of charge stored onthe surface of the sphere before you bravely discharge it with yourhand. My answer for this was 2.93*10^-7 C. I had to request the answer but can't figure out where it camefrom. I used the formula q= E*e0*(4*pi*r^2) Please help him try and figure out where it came from. On a humid day, an electric field of2.00×104 N/C is enough to produce sparksabout an inch long. Suppose that in your physics class, a van deGraaff generator (see the Figure 22.27 in the textbook) with asphere radius of 16.0cm is producing sparks 8 inches long. Part A: Use Gauss's law to calculate the amount of charge stored onthe surface of the sphere before you bravely discharge it with yourhand. My answer for this was 2.93*10^-7 C. I had to request the answer but can't figure out where it camefrom. I used the formula q= E*e0*(4*pi*r^2) Please help him try and figure out where it came from.

Explanation / Answer

I dont really understand what is the relation between thespark'length and the electric field. But it is essential the as the electric field grow, the sparks arelonger. Assume that the electric field is propotion to the sparklength. we have the E=2e4*8 Gauss'law state that E*S=Q/0 Q is the charge on the surface in this case. E=2e4*8 and S=4r^2. plug in we have Q=E*S*0=4,55e-7(V/m)

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