In the figure below left is a toroidal solenoid. The xy plane lies through the middle of tne solenoid. It consists of densely wound wires wrapped around into a doughnut shape. ie: a cylindrical solenoid which is then bend so that both ends are touching. A current I travels through the wire. The inner radius is a and the outer radius is b. There are N loops of wire. (a) Calculate the magnetic field B or Ĥ directly in the middle of the solenoid (inside the coils) at a distancer indicated below. This must be in terms of N, I,r, a, or b. Also, what is the magnetic field in the xy plane outside of the coils (for r < a and r > b. Hint: do not use the biot-savart law. (b) What is the magnetic field B, in Tesla, if N = b = 11cm. 100, r = 10.0ст, I — 1.0Атp, а — 9ст b

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In the figure below left is a toroidal solenoid. The xy plane lies through the middle
of tne solenoid. It consists of densely wound wires wrapped around into a doughnut shape. ie:
a cylindrical solenoid which is then bend so that both ends are touching. A current I travels
through the wire. The inner radius is a and the outer radius is b. There are N loops of wire.
(a) Calculate the magnetic field B or H directly in the middle of the solenoid (inside the coils)
at a distancer indicated below. This must be in terms of N, I,r, a, or b. Also, what is the
magnetic field in the xy plane outside of the coils (for r < a and r > b. Hint: do not use the
biot-savart law.
(b) What is the magnetic field B, in Tesla, if N = 100, r =
b = 11cm.
10.0ст, I — 1.0Aтp, а —
9ст
Transcribed Image Text:In the figure below left is a toroidal solenoid. The xy plane lies through the middle of tne solenoid. It consists of densely wound wires wrapped around into a doughnut shape. ie: a cylindrical solenoid which is then bend so that both ends are touching. A current I travels through the wire. The inner radius is a and the outer radius is b. There are N loops of wire. (a) Calculate the magnetic field B or H directly in the middle of the solenoid (inside the coils) at a distancer indicated below. This must be in terms of N, I,r, a, or b. Also, what is the magnetic field in the xy plane outside of the coils (for r < a and r > b. Hint: do not use the biot-savart law. (b) What is the magnetic field B, in Tesla, if N = 100, r = b = 11cm. 10.0ст, I — 1.0Aтp, а — 9ст
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