A parallel plate capacitor with circular plates of radius 5 cm is being charged by a constant current of 0.5 A. What is the magnitude of the magnetic field (in units of 1 0 − 7 T) at a point located 3

Question

A parallel plate capacitor with circular plates of radius 5 cm is being charged by a constant current of 0.5 A. What is the magnitude of the magnetic field (in units of 1 0 − 7 T) at a point located 3 cm from the central axis, between the plates? (Take μ 0 ​ = 4 π × 1 0 − 7 T m/A)

TestHub · Accepted Answer

Displacement current between the plates $I_{d} = 0.5 A$ , spread evenly over the plate area.

Enclosed by a loop of radius r: $I_{e n c} = I_{d} \frac{r ^{2}}{R ^{2}}$

Ampere-Maxwell law: $B (2 π r) = μ_{0} I_{d} \frac{r ^{2}}{R ^{2}} \Rightarrow B = \frac{μ _{0} I _{d} r}{2 π R ^{2}}$

$B = \frac{2 \times 1 0 ^{- 7} \times 0.5 \times 0.03}{( 0.05 ) ^{2}} = 12 \times 1 0^{- 7} T$

Answer: 12

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JEE Advanced 2027 (Class 12)