Two plates are being discharged by a constant current. Eachplate has a radius of

Question

Two plates are being discharged by a constant current. Eachplate has a radius of 4.00 cm. During the discharging, at a pointbetween the plates at radial distance 2.00 cm from the centralaxis, the magnetic field has a magnitude of 12 nT. a) what is the magnitude of the magnetic field at a radialdistance 6.00 cm? b) what is the current in the wires attached to theplates? a) what is the magnitude of the magnetic field at a radialdistance 6.00 cm? b) what is the current in the wires attached to theplates?

Explanation / Answer

R = 4.00 cm, r = 2.00 cm, B = 12 nT a) r' = 6.00 cm, find B' current = I, current density = j = I/(R2) B*2r =0j*r2     (1) B'*2r' = 0j*R2  (2) (2)/(1): B'*r'/(B*r) = R2/r2 B' = B*R2/(rr') = 16 nT b) from (1) j = 2B/(0r) I = 2BR2/(0r) =4.8*10-3 A

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