The student engineer of a campus radio station wishes to verify the effectiveness of the lightning rod on the antenna mast (see the figure below). The unknown resistance R is between points C and E. Point E is a "true ground," but is inaccessible for direct measurement because the stratum in which it is located is several meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance R. The procedure for finding the unknown resistance R is as follows. Measure resistance R₁ between points A and B. Then connect A and B with a heavy conducting wire and measure resistance R₂ between points A and C. CB X RR (a) Derive a formula for R, in terms of the observable resistances, R₁ and R₂. 3.15 Rx = (b) A satisfactory ground resistance would be Rx < 1.9 2. Is the grounding of the station adequate if measurements give R₁ = 11 2 and R₂ = 5.902? Yes No

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The student engineer of a campus radio station wishes to verify the effectiveness of the lightning rod on the antenna mast (see the figure below). The unknown resistance Ry is between points C and E. Point E is a "true ground," but is inaccessible for direct measurement because the stratum in which it is located is several meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance Ry. The procedure for finding the unknown resistance Ry is as follows. Measure resistance R, between points A and B. Then connect A and B with a heavy conducting wire and measure resistance R2 between points A and C.
The student engineer of a campus radio station wishes to verify the effectiveness of the lightning rod on the antenna mast (see the figure below). The unknown
resistance R is between points C and E. Point E is a "true ground," but is inaccessible for direct measurement because the stratum in which it is located is several
meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance R. The procedure for finding the
unknown resistance R is as follows. Measure resistance R₁ between points A and B. Then connect A and B with a heavy conducting wire and measure resistance
R₂ between points A and C.
CB
X
RR₂
(a) Derive a formula for R in terms of the observable resistances, R₁ and R₂.
Rx =
3.15
(b) A satisfactory ground resistance would be Rx < 1.9 2. Is the grounding of the station adequate if measurements give R₁ = 11 2 and R₂ = 5.9 ?
Yes
No
Transcribed Image Text:The student engineer of a campus radio station wishes to verify the effectiveness of the lightning rod on the antenna mast (see the figure below). The unknown resistance R is between points C and E. Point E is a "true ground," but is inaccessible for direct measurement because the stratum in which it is located is several meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance R. The procedure for finding the unknown resistance R is as follows. Measure resistance R₁ between points A and B. Then connect A and B with a heavy conducting wire and measure resistance R₂ between points A and C. CB X RR₂ (a) Derive a formula for R in terms of the observable resistances, R₁ and R₂. Rx = 3.15 (b) A satisfactory ground resistance would be Rx < 1.9 2. Is the grounding of the station adequate if measurements give R₁ = 11 2 and R₂ = 5.9 ? Yes No
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