P.4-3 Lightning strikes a lossy dielectric sphere-1.2€0, 0 = 10(S/m)- of radius 0.1 (m) at time t=0, depositing uniformly in the sphere a total charge 1 (mC). Determine, for all t a) the electric field intensity both inside and outside the sphere, b) the current density in the sphere. P.4-4 Refer to Problem P.4-3. a) Calculate the time it takes for the charge density in the sphere to diminish to 1% of its initial value. b) Calculate the change in the electrostatic energy stored in the sphere as the charge density diminishes from the initial value to 1% of its value. What happens to this energy? c) Determine the electrostatic energy stored in the space outside the sphere. Does this energy change with time?

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please only solve problem 4-4 but use 4-3 as reference to solve 4-4 as explained. Thank you

P.4-3 Lightning strikes a lossy dielectric sphere-€ = 1.2€0, 0 = 10 (S/m)-
of radius 0.1 (m) at time t = 0, depositing uniformly in the sphere a total
charge 1 (mC). Determine, for all t,
a) the electric field intensity both inside and outside the sphere,
b) the current density in the sphere.
P.4-4 Refer to Problem P.4-3.
a) Calculate the time it takes for the charge density in the sphere to
diminish to 1% of its initial value.
b) Calculate the change in the electrostatic energy stored in the sphere as
the charge density diminishes from the initial value to 1%, of its value.
What happens to this energy?
c) Determine the electrostatic energy stored in the space outside the
sphere. Does this energy change with time?
Transcribed Image Text:P.4-3 Lightning strikes a lossy dielectric sphere-€ = 1.2€0, 0 = 10 (S/m)- of radius 0.1 (m) at time t = 0, depositing uniformly in the sphere a total charge 1 (mC). Determine, for all t, a) the electric field intensity both inside and outside the sphere, b) the current density in the sphere. P.4-4 Refer to Problem P.4-3. a) Calculate the time it takes for the charge density in the sphere to diminish to 1% of its initial value. b) Calculate the change in the electrostatic energy stored in the sphere as the charge density diminishes from the initial value to 1%, of its value. What happens to this energy? c) Determine the electrostatic energy stored in the space outside the sphere. Does this energy change with time?
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