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.
as part of a lecture demonstration, a physics professor plans to hold an ununsulated current carrying wire in her hands. For safety sake, the potential differnece between her hands is to be no more that 1.50v. She holds her hands 1.20m apart, with the wire stretched tightly between them. The wire is to carry 6.00 A of current and is to be made of aluminum. What is the minimum wire radius that is consistent with safety? p for aluminimum = 2.75 x 10 -8 omega-m
In Figure, suppose the switch has been closed for a time interval sufficiently long for the capacitor to become fully charged. Find (a) the steady-state current in each resistor and (b) the charge Qmax on the capacitor. (c) The switch is now opened at t = 0. Write an equation for the current in R2 as a function of time and (d) find the time interval required for the charge on the capacitor to fall to one-fifth its initial value.
What do you think will happen to a load that was rated at 1.8v, 35mA if it was connected on a 5v power supply? Is the current setup provides optimal operation? or is there better construction for the circuit? Considering that you are only going to use the given power supply and the load?
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