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NEET UG PHYSICS MCQ: MAGNETIC EFFECT OF CURRENT

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Application +4 | -1
A condenser is charged using a constant current. The ratio of the magnetic field at a distance of R2\frac{R}{2} and RR from the axis of condenser [RR is the radius of plate] while charging is
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Correct option: C
0.043055556
The question is incomplete and does not provide enough information to determine the ratio of the magnetic field. The magnetic field inside a capacitor while charging is proportional to the radius. The ratio is B1/B2 = (r1/R) / 1 = (R/2)/R = 1/2 = 0.5 for r1=R/2 and r2=R. However, this is not one of the options. Assuming the question meant to ask for the ratio of magnetic field at r=R/2 to the magnetic field at the edge of the plate (r=R), then the magnetic field at r=R is B = (mu_0*I*r)/(2*pi*R2) for r<R and B = (mu_0*I)/(2*pi*r) for r>R. At r=R, B = (mu_0*I)/(2*pi*R). At r=R/2, B = (mu_0*I*(R/2))/(2*pi*R2) = (mu_0*I)/(4*pi*R). The ratio is (mu_0*I)/(4*pi*R) / (mu_0*I)/(2*pi*R) = 1/2 = 0.5. Still not in the options. The question likely has an error.

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