Suppose that in your physics class on a humid day, a van de Graaff generator (se

Question

Suppose that in your physics class on a humid day, a van de Graaff generator (see Figure 22.27) with a sphere radius of 14.0 cm is producing sparks 7 inches long. We can model the spark length as being directly proportional to the electric field at the surface of the sphere of the van de Graaff generator. Assume that on a humid day, an electric field of 2.00×104N/C at the surface of the sphere is enough to produce sparks about an inch long.

Part A

Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand. Suppose that in your physics class on a humid day, a van de Graaff generator (see Figure 22.27) with a sphere radius of 14.0 cm is producing sparks 7 inches long. We can model the spark length as being directly proportional to the electric field at the surface of the sphere of the van de Graaff generator. Assume that on a humid day, an electric field of 2.00×104N/C at the surface of the sphere is enough to produce sparks about an inch long.

Part A

Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand. Suppose that in your physics class on a humid day, a van de Graaff generator (see Figure 22.27) with a sphere radius of 14.0 cm is producing sparks 7 inches long. We can model the spark length as being directly proportional to the electric field at the surface of the sphere of the van de Graaff generator. Assume that on a humid day, an electric field of 2.00×104N/C at the surface of the sphere is enough to produce sparks about an inch long. Suppose that in your physics class on a humid day, a van de Graaff generator (see Figure 22.27) with a sphere radius of 14.0 cm is producing sparks 7 inches long. We can model the spark length as being directly proportional to the electric field at the surface of the sphere of the van de Graaff generator. Assume that on a humid day, an electric field of 2.00×104N/C at the surface of the sphere is enough to produce sparks about an inch long. Suppose that in your physics class on a humid day, a van de Graaff generator (see Figure 22.27) with a sphere radius of 14.0 cm is producing sparks 7 inches long. We can model the spark length as being directly proportional to the electric field at the surface of the sphere of the van de Graaff generator. Assume that on a humid day, an electric field of 2.00×104N/C at the surface of the sphere is enough to produce sparks about an inch long.

Part A

Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand.

Part A

Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand.

Part A

Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand. Use Gauss's law to calculate the amount of charge stored on the surface of the sphere before you bravely discharge it with your hand.

Explanation / Answer

Given,

electric field E = 2.00*10^4 N /C

The electric field required to produce a sparks 7 inches long is 7 times as strong as the field needed to produce the spark

E = 7( 2.00*10^4 N /C ) = 14*10^4 N/C

a)   the amount of charge stored on the surface of the sphere is

     q = 0 E (4r^2 )

         = ( 8.85*10^-12 )( 14*10^4 N/C) (4 (0.14m)^2

         = 3.05*10^-7 C

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