Question

A spherical metal dome of diameter 12 cm is positively charged the electric field strength at the surface of the dome is 4.0×10⁵ V/m. draw the electric field pattern for the dome and determine the total surface of charge​

Answer 1

Find: Calculate the charge produced by spherical metal dome.

Answer:

Step 1- Write down the quantities given.

Electric field strength E = 4.0×$10^{5} Vm^{-1}$

Radius= r=$\frac{0.12}{2}$

              =0.06 m

Step 2- Use the equation for the electric field

Strength to determine the surface charge

E=$\frac{Q}{4πε0r^{2} }$

Q=$4πε0r^{2}$×E

Q=4π×8.85×$10^{-12}$×$(0.06)^{2}$×4.0×$10^{5}$

Q=1.6×$10^{-7}$C

Final answer: The charge produced by spherical dome is  1.6×$10^{-7}$C.

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