σ₁ 0₂ A hemispherical grounding electrode of radius a = 1 m is buried into the earth as shown in the cross-sectional figure above, but it happens to be right at the boundary of two types of soil with different conductivities. The conductivities are given by ₁ = 2 x 10-³ S/m and 0₂ = 8 x 10-³ S/m. The intensity of the current flowing into the electrode is I = 50 A. Answer the following questions, remembering to state and justify any assumptions you are making in your derivation: 1. What is the grounding resistance of the (entirety of the) earth in this configuration? Assume the soil extends to infinity in the region below the air/soil interface. 2. How much power is lost due to Joule/Ohmic heating in each of the two regions of the two types of soil?
σ₁ 0₂ A hemispherical grounding electrode of radius a = 1 m is buried into the earth as shown in the cross-sectional figure above, but it happens to be right at the boundary of two types of soil with different conductivities. The conductivities are given by ₁ = 2 x 10-³ S/m and 0₂ = 8 x 10-³ S/m. The intensity of the current flowing into the electrode is I = 50 A. Answer the following questions, remembering to state and justify any assumptions you are making in your derivation: 1. What is the grounding resistance of the (entirety of the) earth in this configuration? Assume the soil extends to infinity in the region below the air/soil interface. 2. How much power is lost due to Joule/Ohmic heating in each of the two regions of the two types of soil?
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Transcribed Image Text:0₁
0₂
A hemispherical grounding electrode of radius a = 1m is buried into the earth as shown
in the cross-sectional figure above, but it happens to be right at the boundary of two types
of soil with different conductivities. The conductivities are given by ₁ = 2 × 10-³ S/m
and 02 = 8 x 10-³ S/m. The intensity of the current flowing into the electrode is I = 50 A.
Answer the following questions, remembering to state and justify any assumptions you are
making in your derivation:
1. What is the grounding resistance of the (entirety of the) earth in this configuration?
Assume the soil extends to infinity in the region below the air/soil interface.
2. How much power is lost due to Joule/Ohmic heating in each of the two regions of the
two types of soil?
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