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A parallel plate capacitor made of circular plates each of radius R=6cm has a capacitance C=100pF. The capacitor is connected to a 230V ac supply with a angular frequency of 300 rad/sec. Find the amplitude of B at a point 3cm from the axis between the plates.

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a

1.63×10−11T

b

2.63×10−11T

c

3.63×10−11T

d

4.63×10−11T

answer is A.

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Detailed Solution

Xc=1ωC=1300×100×10−12=1083Ω irms=VrmsXc=2301083=6.9×10−6A For r >R, Brms=μ02πirmsR2r=2×10-7×6.9×10-6×(0.03)(0.06)2=1.15×10−11T B0=2Brms=2×1.15×10−11=1.63×10−11T

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A parallel plate capacitor made of circular plates each of radius R=6cm has a capacitance C=100pF. The capacitor is connected to a 230V ac supply with a angular frequency of 300 rad/sec. Find the amplitude of B at a point 3cm from the axis between the plates.