Answer to Question #237889 in Electric Circuits for Neilmar

Question #237889
A coil has 100 turns. A current of 10A is passed through the coil. The coil develops
1
Expert's answer
2021-09-16T10:27:50-0400

Explanations & Calculations


  • Depending on the given data, the question can be thought to asking for the magnetic field produced by it.
  • The magnetic field within the coil (good only for the field inside of it) is given by

B=μ.n.i=μ.(NL).i=4π107Hm1×100turnsm1×10A=1.26×103T\qquad\qquad \begin{aligned} \small \vec{B}&=\small \mu.n.i=\mu.\Big(\frac{N}{L}\Big).i\\ &=\small 4\pi 10^{-7}Hm^{-1}\times100\,turns\,m^{-1}\times10A\\ &=\small \bold{1.26\times10^{-3}T} \end{aligned}

  • Note that the n in the equation is the turns per unit length of the coil & the "100 turns" provided in the question was assumed to be n to get the answer as the question itself lacks some information.

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