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.
Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
A potential difference V(t) = V0 sin ωt 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 Id (t) and resistor current Ires (t) between the plates, and explain why the relationship you observe would be expected.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
