Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

An expression for the magnetic field strength 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 ie, dE/dt between the plates

Options:

$\frac{\mu_0i}{2\pi \,r}$

$\frac{ε_0\mu_0r}{2}\frac{dE}{dt}$

Zero

$\frac{\mu_0i}{2\pi}$

Correct Answer:

$\frac{ε_0\mu_0r}{2}\frac{dE}{dt}$

Explanation:

$B =\frac{\mu_0}{4\pi}\frac{2i_D}{r}=\frac{\mu_0}{4\pi}×ε_0\frac{d\phi_E}{dt}$

$ =\frac{\mu_0}{2\pi}\frac{2i_D}{r}=\frac{\mu_0}{4\pi r}\frac{2}{r}×ε_0\frac{d\phi_E}{dt}$

$=\frac{\mu_0ε_0\pi r^2 dE}{2\pi rdt}=\frac{\mu_0ε_0r}{2}\frac{dE}{dt}$