A potential difference V(t) = V 0 sin ω t is maintained across a parallel-plate capacitor with capacitance C consisting of two circular parallel plates. A thin wire with resistance R connects the centers of the two plates, allowing charge to leak between plates while they are charging. (a) Obtain expressions for the leakage current I r e s ( t ) in the thin wire. Use these results to obtain an expression for the current I r e a l ( t ) in the wires connected to the capacitor. (b) Find the displacement current in the space between the plates from the changing electric field between the plates. (c) Compare I r e a l ( t ) with the sum of the displacement current I d ( t ) and resistor current I res ( t ) between the plates, and explain why the relationship you observe would be expected.
A potential difference V(t) = V 0 sin ω t is maintained across a parallel-plate capacitor with capacitance C consisting of two circular parallel plates. A thin wire with resistance R connects the centers of the two plates, allowing charge to leak between plates while they are charging. (a) Obtain expressions for the leakage current I r e s ( t ) in the thin wire. Use these results to obtain an expression for the current I r e a l ( t ) in the wires connected to the capacitor. (b) Find the displacement current in the space between the plates from the changing electric field between the plates. (c) Compare I r e a l ( t ) with the sum of the displacement current I d ( t ) and resistor current I res ( t ) between the plates, and explain why the relationship you observe would be expected.
A potential difference V(t) = V0sin
ω
t
is maintained across a parallel-plate capacitor with capacitance C consisting of two circular parallel plates. A thin wire with resistance R connects the centers of the two plates, allowing charge to leak between plates while they are charging.
(a) Obtain expressions for the leakage current Ires(t) in the thin wire. Use these results to obtain an expression for the current Ireal(t) in the wires connected to the capacitor.
(b) Find the displacement current in the space between the plates from the changing electric field between the plates.
(c) Compare Ireal(t) with the sum of the displacement current
I
d
(
t
)
and resistor current
I
res
(
t
)
between the plates, and explain why the relationship you observe would be expected.
A potential difference V(t) = V0 sin ωt is maintained across a parallel-plate capacitor with capacitance C consisting of two circular parallel plates. Athin wire with resistance R connects the centers of the two plates, allowing charge to leak between plates while they are charging. (a) Obtain expressions for the leakage current Ires (t) in the thin wire. Use these results to obtain an expression for the current Ireal (t) in the wires connected to the capacitor. (b) Find the displacement current in the space between the plates from the changing electric field between the plates.(c) Compare Ireal (t) with the sum of the displacement current Id (t) and resistor current Ires (t) between the plates, and explain why the relationship you observe would be expected.
Problem 5: A circular capacitor has parallel plates with radius R=2.01 cm with a d=0.158 cm gap between them. The capacitor is being charged by a 21.5 A current.
A (1.91x10^2)-mA current is used to charge up a parallel plate capacitor. A large
square piece of paper is placed between the plates and parallel to them so it sticks
out on all sides. What is the value of the integral P B. ds around the perimeter of
the paper? Express your result in T.m with three significant figures.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY