Answer:
(a) The maximum conduction current is
A
(b) Value of
V
(c) Maximum value of
![\frac{V}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bm%7D)
Explanation:
Given:
Radius of circular plates
m
Separation between plates
m
Frequency
Hz
Maximum displacement current
A
(a)
Displacement current is equal to the conduction current so we write,
A
(b)
From the formula of displacement current,
![I _{d} = \frac{\omega \epsilon _{o} \mu_{o} \pi r^{2} }{d}](https://tex.z-dn.net/?f=I%20_%7Bd%7D%20%3D%20%20%5Cfrac%7B%5Comega%20%5Cepsilon%20_%7Bo%7D%20%5Cmu_%7Bo%7D%20%5Cpi%20%20r%5E%7B2%7D%20%7D%7Bd%7D)
Where
,
peak value of emf, ![\omega = 2\pi f](https://tex.z-dn.net/?f=%5Comega%20%3D%202%5Cpi%20f)
![\epsilon _{o} = \frac{I_{d} d}{2\pi f \times \mu_{o} \times \pi r^{2} }](https://tex.z-dn.net/?f=%5Cepsilon%20_%7Bo%7D%20%3D%20%5Cfrac%7BI_%7Bd%7D%20d%7D%7B2%5Cpi%20f%20%5Ctimes%20%5Cmu_%7Bo%7D%20%5Ctimes%20%5Cpi%20r%5E%7B2%7D%20%20%20%7D)
![\epsilon _{o} = \frac{40 \times 10^{-6} \times 1.8 \times 10^{-3} }{6.28 \times 91 \times 8.85 \times 10^{-12} \times 3.14 (3.2 \times 10^{-2} )^{2} }](https://tex.z-dn.net/?f=%5Cepsilon%20_%7Bo%7D%20%3D%20%5Cfrac%7B40%20%5Ctimes%2010%5E%7B-6%7D%20%5Ctimes%201.8%20%5Ctimes%2010%5E%7B-3%7D%20%20%7D%7B6.28%20%5Ctimes%2091%20%5Ctimes%208.85%20%5Ctimes%2010%5E%7B-12%7D%20%5Ctimes%203.14%20%283.2%20%5Ctimes%2010%5E%7B-2%7D%20%29%5E%7B2%7D%20%7D)
V
(c)
From another formula of displacement current,
![I_{d} = \mu_{o} \frac{d\phi}{dt}](https://tex.z-dn.net/?f=I_%7Bd%7D%20%3D%20%5Cmu_%7Bo%7D%20%5Cfrac%7Bd%5Cphi%7D%7Bdt%7D)
Where
change in flux
![\frac{d\phi}{dt} = \frac{40\times 10^{-6} }{8.85 \times 10^{-12} }](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Cphi%7D%7Bdt%7D%20%3D%20%5Cfrac%7B40%5Ctimes%2010%5E%7B-6%7D%20%7D%7B8.85%20%5Ctimes%2010%5E%7B-12%7D%20%7D)
![\frac{V}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bm%7D)
Therefore, the maximum conduction current is
A and value of
V and maximum value of
![\frac{V}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bm%7D)
A resistor in a circuit acts as a switch to control the flow of charge in a circuit.
<u>Explanation:</u>
An electrical components that plays a role of limiting or regulating the electrical current flow is termed as Resistor. It can be helpful for the purpose of giving certain voltage to a device like a transistor. The current that is passing through a resistor has a inverse proportionality with its resistance and direct proportionality to the voltage that is passing across it., provided another factors remaining unchanged. This can be explained by Ohm's Law.
The electric current that is passing through an electrical circuit will always be dependent on the the voltage and the resistance. When the current flowing throgh a circuit is larger then it can result in heating that damages and burn he resistors or the objects that is present around the circuit.