A parallel plate of capacitor made of circular plates each of radius $$20.0$$ cm has a capacitance $$100pF$$. The capacitor is connected to a source of $$220$$ V and angular frequency of $$200$$ $$rad/s$$, the rms value of the displacement current is $$__________$$μA

Question

A parallel plate of capacitor made of circular plates each of radius $$20.0$$ cm has a capacitance $$100pF$$. The capacitor is connected to a source of $$220$$ V and angular frequency of  $$200$$ $$rad/s$$, the rms value of the displacement current is $$__________$$μA

Infinity Learn · Accepted Answer

Given : $$Erms=220V$$, ω$$=200rad/sCapacitance$$,  $$C=100pF=100$$×$$10$$−$$12FRms$$ value of the displacement current is same as  conduction current $$=$$  $$Irms=ErmsXC$$⇒$$Irms=Erms1/$$ωC              ⇒ $$Irms=Erms$$×ωC $$=220$$×$$200$$×$$100$$×$$10$$−$$12=44$$×$$10$$−$$7=4.4$$×$$10$$−$$6$$         ⇒$$Irms=4.4$$μA

Maxwell's displacement current

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A parallel plate of capacitor made of circular plates each of radius $20.0 c m$ has a capacitance $100 p F$ . The capacitor is connected to a source of 220 V and angular frequency of $200 r a d / s$ , the rms value of the displacement current is __________ $μ A$

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Maxwell's displacement current

Remember concepts with our Masterclasses.

A parallel plate of capacitor made of circular plates each of radius 20.0 cm has a capacitance 100pF. The capacitor is connected to a source of 220 V and angular frequency of 200 rad/s, the rms value of the displacement current is __________μA

Given : Erms=220V, ω=200rad/sCapacitance, C=100pF=100×10−12FRms value of the displacement current is same as conduction current = Irms=ErmsXC⇒Irms=Erms1/ωC ⇒ Irms=Erms×ωC =220×200×100×10−12=44×10−7=4.4×10−6 ⇒Irms=4.4μA

Ready to Test Your Skills?

free study material

A parallel plate of capacitor made of circular plates each of radius $20.0 c m$ has a capacitance $100 p F$ . The capacitor is connected to a source of 220 V and angular frequency of $200 r a d / s$ , the rms value of the displacement current is __________ $μ A$