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21.97... CALC Two thin rods of length L lie along the x-axis, one between x = a and x = a + L and the other between x = -a and x = -a - L. Each rod has positive charge Q distributed uniformly along its length. (a) Calculate the electric field produced by the second rod at points along the positive x-axis. (b) Show that the magnitude of the force that one rod exerts on the other is 0² 4περι (c) Show that if a > L, the magnitude of this force reduces to F = Q²/4meoa². (Hint: Use the expansion In(1+z) = z² + 1/2³ valid for z <<<< 1. Carry all expansions to at Z least order L²/a².) Interpret this result. F (a + L)² a(a + 2L). In

21.97... CALC Two thin rods of length L lie along the x-axis, one between x = a and x = a + L and the other between x = -a and x = -a - L. Each rod has positive charge Q distributed uniformly along its length. (a) Calculate the electric field produced by the second rod at points along the positive x-axis. (b) Show that the magnitude of the force that one rod exerts on the other is 0² 4περι (c) Show that if a > L, the magnitude of this force reduces to F = Q²/4meoa². (Hint: Use the expansion In(1+z) = z² + 1/2³ valid for z <<<< 1. Carry all expansions to at Z least order L²/a².) Interpret this result. F (a + L)² a(a + 2L). In

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21.97... CALC Two thin rods of length L lie along the x-axis, one between x = a and x = a + L and the other between x = -a and x = -a - L. Each rod has positive charge Q distributed uniformly along its length. (a) Calculate the electric field produced by the second rod at points along the positive x-axis. (b) Show that the magnitude of the force that one rod exerts on the other is 0² 4περι (c) Show that if a > L, the magnitude of this force reduces to F = Q²/4meoa². (Hint: Use the expansion In(1+z) = z² + 1/2³ valid for z <<<< 1. Carry all expansions to at Z least order L²/a².) Interpret this result. F (a + L)² a(a + 2L). In
Transcribed Image Text:21.97... CALC Two thin rods of length L lie along the x-axis, one between x = a and x = a + L and the other between x = -a and x = -a - L. Each rod has positive charge Q distributed uniformly along its length. (a) Calculate the electric field produced by the second rod at points along the positive x-axis. (b) Show that the magnitude of the force that one rod exerts on the other is 0² 4περι (c) Show that if a > L, the magnitude of this force reduces to F = Q²/4meoa². (Hint: Use the expansion In(1+z) = z² + 1/2³ valid for z <<<< 1. Carry all expansions to at Z least order L²/a².) Interpret this result. F (a + L)² a(a + 2L). In
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