Question 1: Electric Field Outside a Charged Sphere
A solid sphere of 10-mm radius has +10 x 10-10 C of electric charge distributed uniformly throughout the sphere. Use Gauss's law to determine the electric field caused by this charge at a distance of 15 mm from the center of the sphere. The answer is shown in the meter. If you have difficulties, the Advisor will help you in this first application of Gauss' law.
A solid sphere of 10-mm radius has +10 x 10-10 C of electric charge distributed uniformly throughout the sphere. Use Gauss's law to determine the electric field caused by this charge at a distance of 15 mm from the center of the sphere. The answer is shown in the meter. If you have difficulties, the Advisor will help you in this first application of Gauss' law.
Question 2: Electric Field Outside a Charged Spherical Shell:
A 10-mm radius spherical shell, like a basketball, has +10 x 10-10 C of electric charge distributed uniformly on its surface. Use Gauss' law to determine the electric field caused by this charge at a distance of 15 mm from the center of the sphere. After your prediction, you can click the "Shell" Object type and set R = 15 mm and compare the answer with your prediction. Consult the Advisor if you have difficulties.
A 10-mm radius spherical shell, like a basketball, has +10 x 10-10 C of electric charge distributed uniformly on its surface. Use Gauss' law to determine the electric field caused by this charge at a distance of 15 mm from the center of the sphere. After your prediction, you can click the "Shell" Object type and set R = 15 mm and compare the answer with your prediction. Consult the Advisor if you have difficulties.
Question 3: Electric field inside the charged spherical shell
Leave the Object type on "Shell." Use Gauss' law to predict the value of the electric field inside the spherical shell. If you want, you can calculate the magnitude of the electric field at R = 5 mm from the center of the 10-mm radius spherical shell. After your prediction, move the R slider to 5 mm to check your prediction. If you have difficulty understanding the result, consult the Advisor.
Leave the Object type on "Shell." Use Gauss' law to predict the value of the electric field inside the spherical shell. If you want, you can calculate the magnitude of the electric field at R = 5 mm from the center of the 10-mm radius spherical shell. After your prediction, move the R slider to 5 mm to check your prediction. If you have difficulty understanding the result, consult the Advisor.
Question 4: Electric Field Inside a Charged Solid Sphere
Predict the value of the electric field 5.0 mm from the center of a 10-mm radius solid sphere. The sphere is uniformly charged with +10 x 10-10 C of electric charge. (a) First, determine the electric charge inside a 5.0 mm radius Gaussian surface. (b) Then, use Gauss' law to determine the electric field 5.0 mm from the center of the charged sphere. When finished, you can check your result with the simulation. Consult the Advisor if you have difficulties.
Predict the value of the electric field 5.0 mm from the center of a 10-mm radius solid sphere. The sphere is uniformly charged with +10 x 10-10 C of electric charge. (a) First, determine the electric charge inside a 5.0 mm radius Gaussian surface. (b) Then, use Gauss' law to determine the electric field 5.0 mm from the center of the charged sphere. When finished, you can check your result with the simulation. Consult the Advisor if you have difficulties.
Calculated Answers for 1 to 4:
Question 5: Electric Field Inside a Charged Solid Sphere
Show that the electric field INSIDE the solid uniformly charged sphere varies as:
Show that the electric field INSIDE the solid uniformly charged sphere varies as:
where Rcharged sphere is the radius of the charged sphere (10 mm in the simulation), Q is the total charge on the sphere (adjustable with the Q slider), and R is the distance from the center of the sphere at the position where the electric field is being calculated.
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