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Past exam of the physics 2 paper of the University of Oxford / 2016 / 9 / b / Solution

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Physics 2 paper of the University of Oxford Past exam of the physics 2 paper of the University of Oxford 2016 9 b
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The electric field magnitude falls as 1/r2 throughout the vacuum gap, so its maximum occurs just outside the inner sphere:
Emax​=a(b−a)∣V1​∣b​=0.1(0.4−0.1)103×0.4​.
(1)
Thus
Emax​=1.333×104 Vm−1,r=a+​.
(2)
Inside the metal the electric field is zero. The one-sided gap value is the relevant value for dielectric breakdown; the ideal zero-thickness conducting boundary itself should not be assigned a single field value across its surface-charge discontinuity.

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