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An expression for the magnetic field strength B at the point between the capacitor plates indicates in figure express B in terms of the rate of change of the electric field strength i e, \mathrm{d E / d t} between the plates

Option: 1

\frac{\mu_0 i}{2 \pi r}v


Option: 2

\frac{\varepsilon_0 \mu_0 r}{2} d E / d t


Option: 3

Zero


Option: 4

\frac{\mu_0 i}{2 r}


Answers (1)

\mathrm{\begin{aligned} & B=\frac{\mu_0}{4 \pi} \frac{2 i_D}{r}=\frac{\mu_0}{4 \pi} \times \varepsilon_0 \frac{d \phi_E}{d t} \\ & =\frac{\mu_0}{2 \pi} \frac{2 i_D}{r}=\frac{\mu_0}{4 \pi} \frac{2}{r} \times \varepsilon_0 \frac{d \phi_E}{d t} \\ & =\frac{\mu_0 \varepsilon_0 \pi r^2 d E}{2 \pi r d t}=\frac{\mu_0 \varepsilon_0 r}{2} \frac{d E}{d t} \end{aligned}}

Posted by

Ramraj Saini

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