A parallel plate capacitor (Fig.) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s−1.(a) What is the rms value of the conduction current?

(b)
Is
the conduction current equal to the displacement current?

(c)
Determine the amplitude of B at a point 3.0 cm from the axis between
the plates.

Question

A parallel plate capacitor (Fig.) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s−1.(a) What is the rms value of the conduction current?

(b)
Is
the conduction current equal to the displacement current?

(c)
Determine the amplitude of B at a point 3.0 cm from the axis between
the plates.

Filo · Accepted Answer

(a) RMS value of the conduction current, I=Xc​V​Xc​=ωC1​⇒I=VωC⇒I=230×300×100×10−12⇒I=6.9μA

(b) Yes.
Conduction current is equal to the displacement current.
(c) B=2πR2μo​rIo​​

Io​=2​Ir is distance between plates from the axis,r=0.03mputting values B=2π×0.0624π×10−7×0.03×2​×6.9×10−6​

⇒B=1.63×10−11 T

Question Text	A parallel plate capacitor (Fig.) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad $s^{- 1}$ . (a) What is the rms value of the conduction current? (b) Is the conduction current equal to the displacement current? (c) Determine the amplitude of B at a point 3.0 cm from the axis between the plates.
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

Practice questions from similar books