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23 Nov 2019
Suppose that a circular parallel-plate capacitor has radiusRo=3.0cm and plate separation d=5.0mm. A sinusoidial potentialdifference V=Vosin(2Ïft) is applied across the plates, whereVo=150V and f=60Hz.
A) In the region between the plates, show that the magnitude ofthe induced magnetic field is given by B=Bo(R)cos(2Ïft), where R isthe radial distance from the capacitor's central axis.
B) Determine the expression for the amplitude Bo(R) of thistime-dependent (sinusoidal) field when R<Ro, and whenR>Ro
C) Plot Bo(R) in tesla for the range 0<R<10cm.
I was wondering if someone could walk me through this problem.It is difficult to conceptualize.
Suppose that a circular parallel-plate capacitor has radiusRo=3.0cm and plate separation d=5.0mm. A sinusoidial potentialdifference V=Vosin(2Ïft) is applied across the plates, whereVo=150V and f=60Hz.
A) In the region between the plates, show that the magnitude ofthe induced magnetic field is given by B=Bo(R)cos(2Ïft), where R isthe radial distance from the capacitor's central axis.
B) Determine the expression for the amplitude Bo(R) of thistime-dependent (sinusoidal) field when R<Ro, and whenR>Ro
C) Plot Bo(R) in tesla for the range 0<R<10cm.
I was wondering if someone could walk me through this problem.It is difficult to conceptualize.
