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Question: Answered & Verified by Expert
A circular parallel plate capacitor of radius $R$ and spacing $d$ is being charged by a constant current $I_D$. Find the magnetic field between the plates at a distance $r$ from the axis, where $r>R$.
PhysicsMagnetic Effects of CurrentAP EAMCETAP EAMCET 2020 (22 Sep Shift 1)
Options:
  • A $\frac{\mu_0 \delta_0^r}{2 \pi R^2}$
  • B $\frac{\mu_0{ }^{\prime} D}{2 \pi R}$
  • C $\frac{\mu_0 / D}{2 \pi r}$
  • D Zero
Solution:
1559 Upvotes Verified Answer
The correct answer is: $\frac{\mu_0 / D}{2 \pi r}$
The given situation is shown in the following figure.


Magnetic field at point $P$ at a distance $r \diamond R)$ due to current $I_D$ is given as
$$
B=\frac{\mu_0}{2 \pi} \cdot \frac{I_D}{r} \quad\left[\because B=\frac{\mu_0}{2 \pi} \cdot \frac{I}{r}\right]
$$

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