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In the CGS system , 1 gilbert equals how many ampere-turns? 1.256637 1.256 0.7805 0.1555

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TheaElite · Tutor for 8 years

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1.256637

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## Step1 The problem involves converting the unit of magnetic potential from the CGS system to the SI system. Specifically, we are converting the unit of magnetic potential, the gilbert (Gi), to ampere-turns (A⋅t) in the SI system. ## Step2 One gilbert is defined as \(\frac{10}{4\pi}\) Oersted-cm in the CGS system. ## Step3 The Oersted is a unit of magnetic field strength, and 1 Oersted equals \(\frac{1000}{4\pi}\) ampere-turns per meter in the SI system. ## Step4 Therefore, 1 gilbert is equivalent to \(\frac{10}{4\pi}\) x \(\frac{1000}{4\pi}\) = \(\frac{2500}{4\pi^2}\) ampere-turns. ## Step5 The value of \(\pi\) is approximately 3.14159. ## Step6 Calculating \(\frac{2500}{4\pi^2}\) gives us a value close to 1.256637 ampere-turns.

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In the CGS system , 1 gilbert equals how many ampere-turns? 1.256637 1.256 0.7805 0.1555

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