The student engineer of a campus radio station wishes to verify the effectiveness of the lightning rod on the antenna mast (Fig. P18.55). The unknown resistance Rx is between points C and 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 y. The procedure for finding the unknown resistance Rx is as follows. Measure resistance R1 between points A and B. with a heavy conducting wire and measure resistance R2 between points A and C. (a) Derive a formula for Rx in terms of the observable resistances R1 and R2 . (b) A satisfactory ground resistance would be Rx < 2.0 Ω. Is the grounding of the station adequate if measurements give R1 = 13 Ω and R2 = 6.0 Ω?

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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 (Fig. P18.55). The unknown resistance Rx is between points C and 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 y. The procedure for finding the unknown resistance Rx is as follows. Measure resistance R1 between points A and B. with a heavy conducting wire and measure resistance R2 between points A and C. (a) Derive a formula for Rx in terms of the observable resistances R1 and R2 . (b) A satisfactory ground resistance would be Rx < 2.0 Ω. Is the grounding of the station adequate if measurements give R1 = 13 Ω and R2 = 6.0 Ω?

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